Answers
The degree of the given polynomial is 4.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
The given polynomial is y=3x²-7x⁴+5-9x.
a) The polynomial in standard form is -7x⁴+3x²-9x+5.
b) The degree of the polynomial is 4.
c) The number of terms in the polynomial are 4.
d) Use the degree and the leading coefficient to determine the behavior.
Falls to the left and falls to the right
e) Use the derivative to find the maximum and minimum.
(−0.78859507, 11.25584002) is a local maxima
f) Here the y-intercept is (0, 5)
g) The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x≈−1.33755842,0.5797309.
h) Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
i) Range: (−∞,11.25584002],{y|y≤11.25584002}
Therefore, the degree of the given polynomial is 4.
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Related Questions
Determine if each infinite geometric series is convergent or divergent.
Answers
The solution to the geometric progression are
a) The geometric progression converges , r = 0.1
b) The geometric progression converges , r = 0.2
c) The geometric progression diverges , r = 5
d) The geometric progression converges , r = 0.2
e) The geometric progression diverges , r = 5
f) The geometric progression converges , r = 0.2
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A geometric progression is said to converge if the common ratio r lies between -1 < r < 1
So , If -1 < r < 1, the geometric sequence converges
a)
The geometric progression is A = 0.3 + 0.03 + 0.003 + ...
The common ratio r = second term / first term
The common ratio r = 0.03 / 0.3
The common ratio r = 0.1
So , -1 < r < 1 and the GP converges
b)
The geometric progression is A = 0.25 + 0.05 + 0.01 + ...
The common ratio r = second term / first term
The common ratio r = 0.05 / 0.25
The common ratio r = 0.2
So , -1 < r < 1 and the GP converges
c)
The geometric progression is A = 0.23 + 1.15 + 5.75 + ...
The common ratio r = second term / first term
The common ratio r = 1.15 / 0.23
The common ratio r = 5
So , r > 1 and the GP diverges
d)
The geometric progression is A = 0.75 + 0.15 + 0.03 + ...
The common ratio r = second term / first term
The common ratio r = 0.15 / 0.75
The common ratio r = 0.2
So , -1 < r < 1 and the GP converges
e)
The geometric progression is A = 0.00025 + 0.00125 + 0.00625 + ...
The common ratio r = second term / first term
The common ratio r = 0.00125 / 0.00025
The common ratio r = 5
So , r > 1 and the GP diverges
f)
The geometric progression is A = 128,750 + 25,750 + 5,150 + ...
The common ratio r = second term / first term
The common ratio r = 25,750 / 128,750
The common ratio r = 0.2
So , -1 < r < 1 and the GP converges
Hence , the geometric progression is solved
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6.36 CAR COLORS Choose a new car or light truck at random and note its color. Here are the probabilities of the most popular colors for vehicles made in North America in 2000:5 Color: Silver White Black Dark green Dark blue Medium red Probability: 0.176 0.172 0.113 0.089 0.088 0.067 (a) What is the probability that the vehicle you choose has any color other than the six listed
Answers
The probability that the vehicle you choose has any color other than the six listed is 0.295.
In the given question, the probabilities of the most popular colors for vehicles made in North America in 2000 is given as:
Color: Silver White Black Dark green Dark blue Medium red
Probability: 0.176 0.172 0.113 0.089 0.088 0.067
We have to find the probability that the vehicle you choose has any color other than the six listed.
P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (the sum of the vehicle that are listed)
P(the probability that the vehicle you choose has any color other than the six listed) = 1 - (0.176 + 0.172 + 0.113 + 0.089 + 0.088 + 0.067)
P(the probability that the vehicle you choose has any color other than the six listed) = 1 - 0.705
P(the probability that the vehicle you choose has any color other than the six listed) = 0.295
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F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?
Answers
The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.
What are coding and decoding?Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.
Given, x## is defined as x## = x² - x.
Therefore,
A## = (A - 2)##
= (A - 2)² - (A - 2).
= A² - 4A + 4 - A + 2.
= A² - 5A + 6.
Let, A² - 5A + 6 = 0.
A² - 3A - 2A + 6 = 0.
A(A - 3) - 2 (A - 3) = 0.
(A - 3)(A - 2) = 0.
A = 3 Or A = 2.
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Punit had 12 tomatoe. He cut each into 6 lice. He ued 4 lice of the 16 andwiche he made. How many lice were remaining?
Answers
If Punit had 12 tomatoes. He cut each into 6 lice. He used 4 lice of the 16 sandwiches he made then 68 slices were remaining.
There were 12 tomatoes and each was cut into 6 slices, giving a total of 72 slices. Here we have to multiply 6 with 12
12×6=72
Of these, 4 slices were used to make sandwiches, leaving 68 slices remaining. Here we have to subtract 4 from 72
72-4=68
Therefore, Punit had 68 slices left, or 11.33 tomatoes, after making the sandwiches. This means that Punit had 68 lice of tomato remaining after making the sandwiches.
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What is the length of AB?
Round to one decimal place.
Answers
Answer:
5.4
Step-by-step explanation:
"The 'Angle Bisector' Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle."
thus,
DB/AB = DC/AC
2.8/AB = 3/5.8
multiply both sides by AB to make it a numerator
2.8 = 3*AB/5.8
multiply both sides by 5.8/3 to isolate AB
2.8 * 5.8/3 = AB = 5.413 ≈ 5.4
Therefore , the solution of the given problem of triangle comes out to be
AB length = 5.4 units.
Defining a triangleIn a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.
Here,
According to the "Angle Bisector Theorem," a triangle's opposing side will be divided into two segments that are proportional to the other two sides.
thus,
DC/AC = DB/AB.
2.8/AB = 3/5.8
By multiplying both sides by AB, the numerator is created.
2.8 = 3*AB/5.8
To distinguish AB, multiply both sides by 5.8/3.
2.8 * 5.8/3 = AB = 5.413 ≈ 5.4
Therefore , the solution of the given problem of triangle comes out to be
AB length = 5.4 units.
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Four people each roll a fair die once. Quantity A: The probability that at least two people will roll the same number Quantity B: 70%
Answers
How likely something is to occur is known as its probability.Probability when die rolled 1st time is 6C1 i.e. (1,2,3,4,5,6).
Find the probability ?How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.
Probability when die rolled 1st time=6C1 i.e. (1,2,3,4,5,6) suppose 1 comes, then 2nd time it should not be .as it is given that no 2 people will roll same number.
so 2nd time probability=5C1 i.e. (2,3,4,5,6). same way 3rd and 4th time probability=4C1 and 3C1 respectively.Probability that no one rolls the same no. = 6*5*4*3and total possibility =6^4
p(same number)= 6*5*4*3/ 6^4
= 5/18
p(no same number will roll)=1-5/18
=13/18
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Hi everyone, I need some help please. The question is asking -
Which set of ordered pairs does not represent a function?
A: (0, -4) , (8,5) , ( -5,6) , (6,5)
B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)
C: (0,3) , ( -3,6) , ( -7,3) , (9, -5)
D: (8, -2) , ( -2, -3) , (6,6) , ( -2, -6)
Answers
B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)
What exactly is an ordered pair?Image result for ordered pair definition
An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair’s numeric values can be integers or fractions.
The origin is the place where both axes cross. Every point on the coordinate plane is represented by an ordered pair (x, y), with the first element x referred to as the x-coordinate and the second element y referred to as the y-coordinate.
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any and all help is appreciated, brainliest will be given ! :)
Answers
Answer:
x = 16±2√94 over 3
Step-by-step explanation:
Move terms to the left side.
0 = -6x² + 64x + 80
- ( -6x²+64+80) = 0
Distribute
- ( - 6x²+64x+80) = 0
6x² - 64x - 80 = 0
Common factor
6x² - 64x - 80 = 0
2 (3x²-32x--40) = 0
Divide both sides by the same factor
2 (3x²-32x--40) = 0
3x² - 32x - 40 = 0
Use the quadratic formula (Not explainin this, I forgot this one.)
Simplify
1.Evaluate the exponet
2.Mulitply the numbers
3.Add the numbers
4.Evaluate the sqaure root
5.Mulitply the numbers(Do this 2 more times.)
x = 32±4√94 over 6
Separate the equations
to solve for the unknown varible, separate into two eqautions: one with a plus and another with a minus.
Solve
Rearrange and isolate the varible to find each solution.
Awatch which loses a half a minute was set to read the correct time at 0445h on Monday. determine the time in 12 hour clock system,the watch will show on the following Friday at 1845h
Answers
The Correct answer is 5.50 p.m
ExplanationTime between Monday 0445h and Friday 1845h
= 4 x 24 + 14 = 110h
Time lost = 0.5 x 110
= 55min
Time shown in 12 hour system
1845 – 55 = 1750 h
= 5.50 p.m
What is a 12-hour Clock system?On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").
What is a 24-hour Clock system?Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.
No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.
How can we change 12-hour time format into a 24-hour clock format?Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.
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The time shown on 19:45h Fridays is 06: 55 pm Friday.
What is meant by clock system?A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.
A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.
Given: Watch loses = 1/2 minute every hour
Time difference = 19: 45 h Friday - US:45 h Monday
=4 days 14 hours
=24 × 4+14 hours
=96+14
=110 hours
Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]
= 55 min
Time shown on 19:45h Fridays
= 19: 45 - 0: 55
= 18: 55 h Friday
= 06: 55 pm Friday
Hence, 06: 55 pm Friday
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Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
Answers
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given:
Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question
Drink mix 3 4 5 6 7
water cups 8 9 10 11 12
Hence, The complete table is shown above.
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what is the answer of 0.08 divided by 48.86
Answers
Answer:
610.75
Step-by-step explanation:
48.86 divided by 0.08
Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mph.
How far apart are the school and house?
Answers
The distance between the school and the house is 1.6 miles.
What is distance?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Let the distance between the school and the house be x miles.
Given that:
Lisa:
Rate = 10mph
Time = t hours
Distance= x
According to distance formula we have:
x = 10 *t [ equation 1]
Jen:
Rate = 4mph
Time = t hours
Distance= x-1 miles
According to the distance formula we have:
x-1 = 4*t [equation 2]
Substitute the value of equation 1 in equation 2 we have:
10t -1 = 4t
6t =1
t = [tex]\frac{1}{6}[/tex]
Now substitute the value of t in equation 1.
[tex]x = 10 * \frac{1}{6}[/tex]
x= 1.6 miles.
Hence the distance between the school and the house is 1.6 miles.
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Sangeeta divide R 40000 between her two daughterRimmy and Simmi in the ratio 3:5 Find the hare of each daughter
Answers
share of rimmy and simmi is rs15000 and rs25000.
this question is of ratio and proportion, and the solution is as follows,
total amount = rs 40000
Rimmy and Simmi in the ratio = 3:5
sum of shares= 3+ 5 = 8.
so,
share of Rimmy is = 3/8 X 40000
= 120000/8
= 15000
share of simmi is = 5/8 X 40000
= 200000/8
= 25000
so the share of rimmy and simmi is rs15000 and rs25000.
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Write 4.2 as a mixed number and as an improper fraction.
Write your answers in simplest form.
0
improper fraction: 0
mixed number:
믐
8 0.8
X
Answers
As a mixed number, 4.2 can be written as 4 + 2/10.
As an improper fraction, 4.2 can be written as 21/5.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
What is a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Since 4 + 2/10=4.2 so as a mixed number, 4.2 can be written as 4 + 2/10.
Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.
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2) Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal ?
Store A: $25 for a 45 minute lesson, Store B: $30 for a 1 hour lesson, Store C: $45 for a 1.5 hour lesson, and Store D: $80 for three 1 hour lessons
Answers
Store C offers the best deal
Based on the lowest cost per minute, Store C has the best deal. It charges $45 for a 1.5 hour lesson, which works out to $0.30 per minute. The other stores charge more per minute: Store A charges $0.56 per minute, Store B charges $0.50 per minute, and Store D charges $0.40 per minute for each of the three 1 hour lessons.
Store A has the highest cost that is $0.56 per minute
Next Store B comes in the 2nd place which costs around $0.50 per minute.
After that Store D charges at the rate of $0.40 per minute.
Store C offers the best deal which is $0.30 per minute.
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A triangle has sides with lengths of 33 kilometers, 90 kilometers, and 97 kilometers. Is it a right triangle?
Answers
33^2 + 90^2 ≠ 97^2
Select the correct answer. which expression is equivalent to this quotient?
Answers
An expression which is equivalent to given [tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex] is 5 / (z + 5)
The correct answer is an option (B)
Consider given quotient.
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }[/tex]
Consider expression 5z + 15
We can write this expression as 5(z + 3) by taking out the common factor 5.
So given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{z+3}{5(z+3)} }[/tex]
As we know a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.
For fraction [tex]\frac{z+3}{5(z+3)}[/tex] , the common term is z + 3.
So, [tex]\frac{z+3}{5(z+3)} = \frac{1}{5}[/tex]
We know that for fractions a/b and c/d where b ≠ 0, d ≠ 0, if we take quotient of these fraction then that would be,
(a/b) / (c/d) = (a/b) × (d/c)
So, given quotient would be,
[tex]\frac{\frac{1}{z+5} }{\frac{1}{5} }\\\\\\=\frac{1}{z+5} \times \frac{5}{1} \\\\\\=\frac{1\times 5}{(z + 5)\times 1}[/tex]
= 5 / (z + 5)
Therefore, an equivalent expression is: 5 / (z + 5)
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Type the correct answer in the box. Round your answer to the nearest tenth. The population of Cuba is 1.3 million. The country's population is expected to grow at a rate of 4% each year. The population of Cuba will be million in 10 years.
Answers
The population of Cuba in 10 years will be 1.9243 million.
What is meant by exponential growth?A process called exponential growth sees a rise in quantity over time. It happens when a quantity changes at an instantaneous rate that is proportionate to the quantity itself with respect to time.
Data patterns that exhibit exponential growth exhibit quicker rate of expansion over time. Compounding produces exponential returns in the financial world. Savings accounts with a compound interest rate have the potential to expand exponentially.
The population growth will be modeled using exponential growth:
f(x) = a(b[tex])^t[/tex]
where:
a be the initial value
b be the growth rate
Substitute the values in the above equation, we get
f(x) = 1.3(1.04[tex])^t[/tex]
The population after 10 years will be:
f(x) = 1.3(1.04[tex])^{10[/tex]
simplifying the equation, we get
f(x) = 1.9243
Therefore, the population in 10 years will be 1.9243 million.
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The population of Cuba in 10 years will be 1.9243 million, if the population is expected to grow at a rate of 4% each year.
What is meant by exponential growth?Quantities increase over time through a process known as exponential growth. It occurs when a quantity shifts at a pace that is proportional to the quantity's own rate of change with regard to time.
Data patterns that show exponential growth expand more quickly over time. In the world of finance, compounding generates exponential profits. Compound interest savings accounts have the potential to grow tremendously.
The population growth will be modeled using exponential growth:
f(x) = a(b)[tex]^{t}[/tex]
where:
a be the initial value
b be the growth rate
Substitute the values in the above equation, we get
f(x) = 1.3(1.04
The population after 10 years will be:
f(x) = 1.3(1.04
simplifying the equation, we get
f(x) = 1.9243
Therefore, the population in 10 years will be 1.9243 million.
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Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?
Answers
Answer:
11 pounds
Step-by-step explanation:
The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds
Answer:11
Step-by-step explanation:
11 times 3 equals 33(for the clothing)
so 11 is left
Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
Answers
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression
Answers
The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.
Which on round off is , -0.85.
The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .
Therefore, the AOD for cos149 degree is found out to be as ,
α = arctan(vertical distance / horizontal distance)
α = arctan(10 / 11.998)
α = arctan(0.83347224537423)
α = 0.69482025147278 ° ≈ 0.69 °
The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance. If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.
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PLEASE HELP SOON
1. Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is ( , )
2. Solve the system. 6x - y = -15 x + 2y = 17 Enter your answer as a coordinate pair in the blank.
Answers
Answer:
1. ( 1,7)
2. (17, 39)
Step-by-step explanation:
1. Replace all occurrences of y with 6x+1, and we get
9x + 1 = 10
x = 1
y = 6x + 1
y = 7
So, the answer for number 1 is (1,7)
2. 6x - y = -15x + 2y = 17
We subtract 2y and get
6x - 3y = 15x = 17
Replace all occurrences of x with 17, and we get
102 −3y = −15
x = 17
y = 39
So, the answer for number 2 is (17, 39)
What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?
Answers
The equation of a parabola that intersects the x-axis at points (-1, 0) and
(3, 0) is y = x² - 2x - 3.
What is a parabola?
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.
Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.
The general equation for such parabola is,
y = ax² + bx + c
The roots of the quadratic equation is found when y = 0
We know that when y = 0, x = -1 , 3
So (x+1) (x - 3) = 0
Solving the above equation we can find the equation of parabola
x² - 3x + x -3 = y
Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).
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1.) Each row of the grocery store parking lot has 10 parking spots of equal width. What is the width for each spot?
2.) How many space is given for each parking spot at the mall parking lot if each spot has an equal width?
3.) Which location gives the greatest space for each parking lot?
(Ik this is a lot but can someone help me please I’m so confused)
Answers
When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.
what is equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.
given
The grocery store is 31.92 wide overall, with 10 equally wide parking spaces.
If you assume that the width of these 10 parking spaces is equal to the width of the grocery store as a whole, you will have:
10x=31.92
on both sides of the equation, multiply by 10.
10x/10 = 31.92/10
x = 3.192
When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.
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(m-12)divided by 44=32
Answers
Answer: (m-12)
Step-by-step explanation:
(m-12)divided by 44=32
Solve the answer please
Answers
Answer:
A
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
140° is an exterior angle of the triangle , then
∠ B + 90° = 140° ( subtract 90° from both sides )
∠ B = 50°
∠ ACB and ∠ DCB are a linear pair and sum to 180° , that is
∠ ACB + 140° = 180° ( subtract 140° from both sides )
∠ ACB = 40°
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of which type of sampling ? a. Cluster
b. Convenience c. Simple random d. Stratified random e. Systematic
Answers
A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of Stratified random type of sampling .
What does "stratified random sampling" mean?
A population is divided into smaller subgroups known as strata as part of a sampling technique called stratified random sampling.
During stratified random sampling, also known as stratification, groups of people are divided into groups based on shared traits or characteristics, such as level of education or income.
What is a good illustration of a stratified sampling technique?
A stratified sample is one that guarantees that the various strata (subgroups) of a given population are fairly represented in the sample population as a whole.
One could, for instance, divide a sample of persons into age-related subgroups, such as 18–29, 30-39, 40–49, 50–59, and 60 and above.
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What is the rule for translations?
Answers
Answer:
A translation is a type of transformation that moves each point in a figure the same distance in the same direction.
Step-by-step explanation:
Translations are often referred to as slides. You can describe a translation using words like "moved up 3 and over 5 to the left" or with notation.
A line is parallel to y = 4x + 1 and
intersects the point (-2, -5). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x - X1)
Then write the equation in slope-intercept form.
Answers
Step-by-step explanation:
(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!
Step-by-step explanation:
Given the system of equation, \left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.{
2x−3y=−19
x+6y=28
, solve by elimination.
\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.{
2x−3y=−19
−2(x+6y=28)
, multiply the top equation by -2.
We get, \left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.{
2x−3y=−19
−2x−12y=−56
+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right. , add the equations together.
We get, -15y=75−15y=75 , we just eliminated the variable, x, we can now solve this equation for y.
-15y=-75 = > y=\frac{-75}{-15}−15y=−75=>y=
−15
−75
, y=\frac{75}{15} = > y=5y=
15
75
=>y=5
We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...
x+6y=28 = > x+6(5)=28 = > x+30=28x+6y=28=>x+6(5)=28=>x+30=28 , subtract the value, 30, from both sides. We get, x=-2x=−2 .
We found the value x, x=-2.
Thus the solution to the given system of equations is (-2,5).
Answer:
Comparing given eqn of line i.e.y=4x + 1 with
y=mx+c,we get,
m=4
We know that parallel lines have same value for m and the line parallel to y=4x+1 passes through the point (-2,-5) i.e (x1,y1)
Now,using point slope formula,we get
y-(-5)=4{x-(-2)}
or,y+5=4(X+2)
or,y+5=4x+8
or,y=4x+8-5
:.y=4x+3 is the req eqn for line parallel to y=4x+1
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Which point represents the value of –(–2) on the number line?
A number line has points A, negative 3, B, blank, 0, blank, C, 3, D.
Point A
Point B
Point C
Point D
Answers
The point that is -2 on the number line is point B. Option B
What is the number line?We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.
In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.
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