Answer: y=(x+3)2−17
Step-by-step explanation:
if a borrowed car averges 38 miles per gallon how many miles can u travel with 12 gallons of gas
Please help will mark Brainly
Complete the table as you answer the multiple choice questions below.
Complete the table with values 3, 2, 24 and 10 respectively
How to complete the table?
The constant of proportionality is the ratio of the y value to the x value i.e.
constant of proportionality (k) = y/x
The table can be completed by determining the constant of proportionality. That is:
k = y/x
where y = hours and x = magnets
k = 4/12 = 1/3
when y = 1:
1/3 = 1/x
x = 3
when x = 6:
1/3 = y/6
y = 2
when y = 8:
1/3 = 8/x
x = 24
when x = 30:
1/3 = y/30
x = 10
Learn more about constant of proportionality on:
brainly.com/question/29213426
#SPJ1
The side of a triangle are 64, 47 And 39 use the Pythagorean theorem to determine if a triangle is right acute or obtuse
Answer: obtuse
Step-by-step explanation:
64+47=111
111>39
Find the equation of a line that passes through the points (2,7) and (4,6). Leave your answer in the form y = mx + c
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -1 }{ 2 } \implies - \cfrac{ 1 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{- \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{2}) \\\\\\ y-7=- \cfrac{ 1 }{ 2 }x+1\implies {\Large \begin{array}{llll} y=- \cfrac{ 1 }{ 2 }x+8 \end{array}}[/tex]
James bought a movie ticket
and popcorn for $12.20. The movie ticket cost $8.45.
Use the equation c + $8.45 = $12.20 to find which size
popcorn James bought. How much change did James get
if he paid with a $20 bill?
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).
What is change?Change is a natural part of life. It is the process of making or becoming different, and can happen in an instant or over a long period of time. Change may refer to a transformation in a person’s life, such as a career switch, a change in lifestyle, or growth in maturity. It can also refer to a shift in the environment, such as a change in the weather, a demographic shift, or a dramatic event.
The equation c + $8.45 = $12.20 can be rewritten as c = $12.20 - $8.45. Solving this equation yields c = $3.75. This means James bought a popcorn for $3.75.
If James paid with a $20 bill, he would get $7.25 in change ($20 - $12.20 = $7.25).
To learn more about change
https://brainly.com/question/25184007
#SPJ1
4
On Monday Selma has £202.69 in her bank account.
Selma needs to pay a bill of £465.20 from the account on Wednesday.
She will pay some money into the account on Tuesday so that there is
●
enough money in the account to pay the bill
£10 left in the account after the bill has been paid.
No other payments occur.
How much money does Selma pay into the account on Tuesday?
Answer:
Answer: £272.51
Step-by-step explanation:
First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.
Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:
Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.
Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).
Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.
Use the quadratic formula to solve for x:
x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))
= (-1/2) +/- sqrt(5/8)
= (-1/2) +/- sqrt(40/64)
= (-1/2) +/- sqrt(10/16)
= (-1/2) +/- (5/8)
= -1 +/- 5/8
= -1 + 5/8 or -1 - 5/8
= -7/8 or 1/8
Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.
Step-by-step explanation:
Only question b
b) Write down the output y in terms of x
Input = x > +7 > x5 > Output = y
Therefore ,As a result, y = 5x + 35 is the equation that gives the answer to the given algebra issue.
Algebra: What Is It?Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols. The PEMDAS rule stands for the following operations: parenthesis, exponent, multiplication, division, addition, and subtraction. This rule is applied to solve the equation properly and accurately.
Here,
In this case, the equation for y in terms of x will be as follows:
y = 5(x + 7)
If you make the equation simpler, you get
y = 5(x + 7)
y = 5x + 35
y will have the linear equation y = 5x + 35 in terms of x.
Therefore , As a result, y = 5x + 35 is the equation that gives the answer to the given algebraic issue.
To learn more about the Algebra visit:
brainly.com/question/953809
#SPJ1
Please help me I can’t figure it out
The number of times each number divides is 8 divides LCM into 11 times
11 divides into LCM 8 times and 22 divides into LCM 4 times .
What is LCM ?
The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
The LCM of 8 , 11 and 22 is 88
∴ 8 divides into LCM 11 times
11 divides into LCM 8 times
22 divides into LCM 4 times
To learn more about LCM from the given link
https://brainly.com/question/233244
#SPJ1
The length x of a rectangle is decreasing at the rate of 5 cm/min and the width y is increasing at the rate of 4 cm/min. When x = 8 cm and y = 6 cm, find the rate of change of
(i) the perimeter.
(ii) area of rectangle.
A triangle has sides with lengths 8, 15, and 17. approximate the acute angles in this triangle to the nearest degree and list in ascending order
Answer:
28°, 62°
Step-by-step explanation:
As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.
Here are all the acute angles in order:
[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]
[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]
(3,-3) m= -2/3
Formula
Y-Y1= m(x-x1)
slope form -
y - y1 = m(x - x1)
y - (-3) = -2/3(x - 3)
y + 3 = -2/3x + 2
y = -2/3x - 1
please please help me Please help for my math rpoject!!!!!
a. The table for the relation is given by the image shown at the end of the answer.
b. The domain and range of the relation are given as follows:
Domain: {0, 1, 2, 3, 4, ...}.Range: {0, 0.75, 1.5, 2.25, ...}.c. The relation is a function, as it value of the input is mapped to a single value of the output.
How to represent the situation?The ratio between the total cost and the number of vehicles is obtained as follows:
k = 3.75/5 = 3/4 = ... = 0.75/1 = 0.75.
Meaning that the situation is modeled by a proportional relationship with a constant of 0.75, and the function is given as follows:
y = 0.75x.
For which:
x is the number of cars.y is the total cost.The domain and range are given as follows:
Domain: {0, 1, 2, 3, 4, ...}. -> possible amounts of cars.Range: {0, 0.75, 1.5, 2.25, ...}. -> possible prices.More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
When you are solving a compound inequality, how can you express the solution?
Please give your rationale.
Answer:
When solving a compound inequality, you can express the solution in two different ways: using a union or intersection.
Using a union:
A union represents the solutions that belong to either one inequality or the other, or both. You can express a union using the symbol "or," or by writing the solutions for each inequality separately and combining them using a "union" symbol (∪). For example, if you have the compound inequality "x > 2 or x < -3," you can express the solution as "x ∈ (-3, 2) ∪ (-∞, -3) ∪ (2, ∞)."
Using an intersection:
An intersection represents the solutions that belong to both inequalities. You can express an intersection using the symbol "and," or by writing the solutions for each inequality separately and combining them using an "intersection" symbol (∩). For example, if you have the compound inequality "x > 2 and x < -3," you can express the solution as "x ∈ (-3, 2) ∩ (-∞, -3) ∩ (2, ∞)."
Which method you use to express the solution will depend on the specific inequalities and the type of solutions you are looking for. It is important to carefully consider the inequality symbols (>, <, ≥, ≤) and the use of "and" or "or" in order to determine the correct solution.
When solving a compound inequality, the solution can be expressed in one of two ways: as an interval or as a union of intervals.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
An interval is a set of all real numbers between two given numbers, and is written in the form (a, b) or [a, b], where a and b are real numbers, and a < b. If a and b are included in the interval, then the interval is written as [a, b]; if a and b are not included in the interval, then the interval is written as (a, b).
A union of intervals is a combination of two or more intervals, and is written in the form (a, b) ∪ (c, d) or [a, b] ∪ [c, d], where a, b, c, and d are real numbers, and a < b and c < d.
When solving a compound inequality, it is important to first simplify the inequality by combining like terms, isolating the variable on one side of the inequality, and combining any separate inequalities into a single inequality. Then, the solution can be found by graphing the inequality on a number line, and shading the portion of the number line that represents the solution.
Once the solution is found the solution can be expressed either as an interval or as a union of intervals depending on the inequality. For example, if the inequality is x>1 and x<3, then the solution would be expressed as (1,3) and this is an example of an interval. If it's x>1 and x≥3 then the solution would be expressed as (1,3] U [3,∞) and this is an example of union of intervals.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
In the algebraic expression, 6x + 10, x is the (blank), 6 is the (blank), and 10 is the (blank)?
In the algebraic expression, 6x + 10, x is the variable, 6 is the coefficient and 10 is the constant.
What are algebraic expressions?
Algebraic expressions are mathematical phrases that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They can be used to represent mathematical operations and relationships between numbers.
Examples of algebraic expressions include:
2x + 3 (This is an expression that represents the sum of 2 times the value of x plus 3)
A letter or symbol that denotes an unknowable value is called a variable. The variable here is represented by x.
A coefficient is a number that is multiplied by a variable in an algebraic expression. In this case, 6 is the coefficient of x.
A constant is a value that does not change in an algebraic expression. In this case, 10 is the constant.
Learn more about Algebraic expression
https://brainly.com/question/4344214
#SPJ1
Add 1.8m, 77cm, 210mm and give your answer in cm
The total length is 2.077m (2177 cm).
What is length?Length is a measurement of size, distance, or duration. It can refer to physical size (length of a field, length of an object, etc.), distance (length of a journey, length of a river, etc.), or duration (length of a movie, length of a school day, etc.). Length can also refer to the duration of time it takes to complete something (length of a task, length of a process, etc.). Length is typically measured in units such as meters, feet, inches, miles, kilometers, and seconds.
The given measurements can be added together to calculate a total length. The addition of 1.8m, 77cm, and 210mm can be expressed in the form of a sum equation. The equation would be 1.8m + 77cm + 210mm = ?.
To solve this equation, the measurements need to be converted to the same unit of measurement. In this case, all measurements can be converted to cm. 1.8m is equal to 1800cm, 77cm is equal to 77cm, and 210mm is equal to 21cm.
Therefore, the sum equation becomes 1800cm + 77cm + 21cm = ?. To find the total length, the numbers can be added together.
The total length is 1977cm. However, since the measurements are expressed in decimals, the answer must also be expressed in decimals. Therefore, the total length is 2.077m (2177 cm).
To know more about length click-
https://brainly.com/question/25292087
#SPJ1
The following is a list of books I read this summer what percent of my books were nonfiction nonfiction equals 8 fiction equals 17
Answer:
About 47% of books were nonfiction.
The actual percentage includes decimals and it would be this:
%47.0588235294
4.4) Find the least number by which 768 must be multiplied so as to make it a perfect square
Answer:
3
Step-by-step explanation:
768 can be broken down to:
2×2×2×2×2×2×2×2×3
The part made up of twos is already a perfect square. The 3 needs a partner for it to be a perfect square also.
768 × 3 is 2304.
Sqrt2304 is 48.
Multiply 768 by 3 to make it a perfect square.
Refer To The Given Image
Which graphs show continuous data?
Select each correct answer.
HELP ME PLEASE!!!
Answer: the bottom two graphs show continuous data
Step-by-step explanation:
How many 2/3 Tablespoons are in a half Tablespoon
Therefore , the solution of the given question of equation come out to be
x = 1/3 tablespoon .
Define equation.Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.
Here,
Given : 2/3 cup Tablespoons
We have to find the half Tablespoons
So,
In order to find the half Tablespoons
Thus,
=> 1 Tablespoon = 2/3Tablespoons + x
where x is the half Tablespoons
=> x = 1/3 tablespoon
Therefore , the solution of the given question of equation come out to be
x = 1/3 tablespoon .
To know more about equation , visit
brainly.com/question/10413253
#SPJ1
What is the difference between solving an equation and solving an inequality
Note that solving an equation involves finding the value(s) of the variable(s) that make the equation true. For example, solving the equation 2x + 3 = 7 would give the solution x = 2.
On the other hand, solving an inequality involves finding the set of all values of the variable(s) that make the inequality true. For example, solving the inequality 2x + 3 > 7 would give the solution x > 1.
What is inequality in Math?An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.
In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
Learn more about inequality:
https://brainly.com/question/28823603
#SPJ1
the ratio of the length to the breadth of a room is 5:3 what is the length of the room if the breadth is 6m
According to the solving If the room's width is 6 meter's, then its length must be 10 meter's.
What is length?Distance is measured by length. The quantity of length has the dimension of distance there in International System of Quantities. Most measurement systems choose a base unit for length from which all subsequent units are derived. The metre serves as the fundamental unit of length in the International System of Units.
How do you determine length?If you have an area A and a width w, you can calculate the length w by using the formula h = A/w. Its length can indeed be calculated using the formula h = P/2w if you know its perimeter (P) and width (W). If you have the width w and the diagonal
According to the give information:
Let length be x By Given Condition
5/3=x/6
x=5/3*6
x=30/3=10
Therefore length of room is 10.
To know more about length visit:
brainly.com/question/8552546
#SPJ1
Autumn received $150 for her birthday this year.
This was $10 less than half the amount she
received last year. How much money did
Autumn receive for her birthday last year?
Write an equation to model this situation.
Let x = the amount of money Autumn received
last year
What the answer to this 9 - 3y +3y =4
Answer:
its the answer
Step-by-step explanation:
the answer to the question is the answer
hehe
Salma spent a total of $40 at the grocery store. Of this amount, she spent $26 on fruit. What percentage of the total did she spend on fruit?
so, if we take 40(origin amount) to be the 100%, what is 26 off of it in percentage anyway?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 40 & 100\\ 26& x \end{array} \implies \cfrac{40}{26}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 20 }{ 13 } ~~=~~ \cfrac{ 100 }{ x }\implies 20x=1300\implies x=\cfrac{1300}{20}\implies x=65[/tex]
How do you write 0.0912 in scientific notation?
Therefore , the solution of the problem of expression comes out to be
9.12 x 10 ^-2.
How does one select expression?An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.
Here,
Given : 0.0912 in scientific notation
=> 9.12 /100
By using scientific notation
=> 9.12 × 10^-2
=> 9.12 x 10 ^-2
So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression
Therefore , the solution of the problem of expression comes out to be
9.12 x 10 ^-2.
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
Pls include step by step explaination
Answer:
X = 2/3
Step-by-step explanation:
there is some misinformation here but I’m just gonna assume these rectangles are proportional.
If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3
So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3
hope this helps :)
How do I solve 6,000-5,258
Answer:
742
Step-by-step explanation:
6000
-5258
742
In the figure below, a surveyor put stakes at the lettered points. He used string to determine lengths of line segments and a transit to check that the angles at D and B were both right angles.
If CD = 3, CE = 5, DE = 4 and DB = 18, and:
AB/DB=BC/CD
AB =
units.
The length of segment AB is given as follows:
AB = 20 units.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.The similar triangles for this problem are given as follows:
ABD and CDE.
Hence the proportional relationship that can be established between the side lengths is given as follows:
AB/DE = BC/CD = AC/CE.
The side lengths are given as follows:
CD = 3, CE = 5, DE = 4, DB = 18.
As CD = 3 and DB = 18, using the segment addition postulate, we have that:
BC = BD - CB
BC = 18 - 3
BC = 15 units.
Hence the length AB is obtained as follows:
AB/4 = 15/3
AB/4 = 5
Applying cross multiplication, we have that:
AB = 4 x 5
AB = 20 units.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1