Answer:
c. [-1, infinity)
Step-by-step explanation:
the domain the interval or set of valid x values (while the range is the same for the valid y values).
what is the smallest value of x we see for the graph ?
for x values we need to look left and right.
and the more left the value, the smaller it is.
so, in other words, what is the left-most x value e can find ?
x = -1
that is the "starting point" of the function. there is no functional value for any smaller x.
and then clearly, the function goes on and on to the right without any boundary in sight. so, it keeps going to the right in all eternity, that means it goes to infinity.
therefore the answer.
keep in mind that "infinity" is not a number, only a concept. so, when writing "infinity" at an interval end, it is not included (and we use a round bracket).
The average age of 5 students is 10 years. The age of one student is 6. What is the average age of the remaining 4 students?
The the average age of the remaining 4 students is 9.5 years.
Why is mean called the average?The average may be calculated by dividing the total number of values by the sum of all the numbers. An average of the values in a sample of data may be used to determine a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.
The average age of 5 students is 10 years.
∴ Sum of age of 6 students =5 × 10 = 66
⇒ When two more students of age 5 and 1 added to 4 students then, total students will become 8
⇒ Sum of age of 6 students =66 + 6 + 4 = 76
∴ Required average =
76 / 8 = 9.5
=9.5 years
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed.
Division Line
3 1 /6 divided by 3
Answer:
[tex]\frac{19}{18}=1\frac{1}{18}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{6}\div3=\frac{19}{6}\div3=\frac{19}{6}*\frac{1}{3}=\frac{19}{18}=1\frac{1}{18}[/tex]
find the value of x in the figure below
assume that the lines are parallel
In the graphic below, assuming the lines are parallel, the value of x is 15.
What is parallel lines?Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation. Parallel lines can be found in everyday life, such as zebra crossings, notepad lines, and railway tracks.
Here,
6x+3=7x-12
x=15
The value of x in the figure below assuming that the lines are parallel is 15.
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Help me solve this I have all the questions on the paper
Answer:
x intercepts (-2,0) and (-4,0)
y intercept: (0,8)
Vertex: (-3,-1)
Axis of symmetry x = -3
Step-by-step explanation:
Please help !! I can’t find the answer
HELPPP PLEASE!!!!!!!!!??!
Answer:
y = - 1/2x + 6-------------------------------
Slope- intercept form:
y = mx + b, where m- slope, b - y-interceptUse two points on the line:
(0, 6) and (8, 2)The first point is the y- intercept:
b = 6The slope is:
m = (2 - 6)/(8 - 0) = - 4/8 = - 1/2The line is:
y = - 1/2x + 630 POINTS!!
whats 1 + 1 ?
Answer:2
Step-by-step explanation:1+1=2
Answer: 2
Step-by-step explanation:
1
+
1
____
2
Compute dy using the function y=4x^2 as x goes from −1 to −1.1.
The value of dy when x changes from -1 to -1.1 for equation y = 4x² is 0.84.
Here we are given an equation y = 4x²
In an equation, dy/dx, implies the change in y due to a change in x.
Now here we already have given that x changes from -1 to -1.1.
Hence, here we need to find the values of y when x = -1 and when x = -1.1
Then we need to subtract the value of y when x = -1.1 and when x = -1
We are given y = 4x²
Hence when x = -1,
y = 4 X 1
= 4
When x = -1.1
y = 4 X 1.21
= 4.84
Hence dy = 4.84 - 4
= 0.84
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The distance from a focus to a vertex on a graph of a parabola is not the same as the distance from vertex to a perpendicular point on the directrix.
False
True
Answer:
True
Step-by-step explanation:
True
Serena is cycling from dance class to her home. The equation shows Serena's distance (y), in miles, from her home after x minutes:
y = 16 − 6x
What does the number 16 in the equation represent? (1 point)
a
Serena's distance from home when she begins cycling
b
Serena's distance from the dance class when she begins cycling
c
The speed at which Serena is cycling from the dance class to her home
d
The rate of change of Serena's speed while cycling from the dance class to her home
In linear equation, 16 is represent The speed at which Serena is cycling from the dance class to her home
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6x + y = 16
6x = 16 - y
x = 8/3 - y/6
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If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
-5
T
NA
А
B
4
3
2
1
-2 -10
-1
-2
-3
1
2
C
3 4 5
D
C' = ([?], [])
Reason:
Point C is located at (3,3)
Triple each coordinate since the scale factor is 3. That's how we go from (3,3) to (9,9)
If the scale factor was 5 for instance, then we'd go from (3,3) to (15,15)
This trick works only if the center of dilation is the origin.
Answer:
C' = (-3, 4)
Step-by-step explanation:
When a shape is dilated by a factor of 3, the size of the shape is multiplied by 3 in both the x and y directions. To find the new coordinates of point C' after a dilation by a factor of 3, we can multiply the original coordinates of point C by 3.
The original coordinates of point C are (-2, -10). When we multiply these coordinates by 3, we get (-6, -30) for the new coordinates of C' after the dilation. So the answer is (-6, -30)
Examine the triangle below, solve for x and y, rounded to two decimal places.
X=
y=
30°
16
X
y
Plss help!
Calculate the area of the irregular polygon shown below:
A. 24 square inches
B. 44 square inches
C. 54 square inches
D. 84 square inches
The area of the irregular polygon is 24 square inches. Hence option A is the correct option.
What is an irregular polygon?
An irregular polygon does not have all of its sides equal, nor are all of its angles equal in size. Scalene triangles, right triangles, isosceles triangles, rectangles, parallelograms, irregular pentagons, irregular hexagons, and so on are examples of irregular polygons.
The length of DE is 5 in and HI is 5in.
The length of AL is 12in.
The length of AD + EH + IL = AL - (DE+HI) = 12 - (5+5) = 2 in
The length of AB = DC = EF = HG = IJ = LK = 7in.
The sum area of the rectangles ABCD, EFGH, and IJKL is
AB×AD + EF×EH + IJ×IL
= 7×AD + 7×EH +7×IL
= 7(AD + EH + IL)
= 7×2
= 14 square inches
The length of DW = EX = HY = IZ = 7 - 6 = 1in.
The area of DWXE is DW×WX = 1×5 = 5 square inches
The area of HYZI is HY×YZ = 1×5 = 5 square inches
The area of the irregular polygon is
14 + 5 + 5 square inches
= 24 square inches
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NO LINKS!!
Finish the table below:
n t(n)
1 7.5
2 3.75
3 1.875
4
5
b. Name the type of sequence
c. Find an equation for the sequence
Answer:
a) See below.
b) Geometric sequence
[tex]\textsf{c)} \quad a_n=7.5(0.5)^{n-1}[/tex]
Step-by-step explanation:
Part (a)From inspection of the given table, t(n) halves each time n increases by 1.
Therefore:
[tex]\implies a_4=1.875 \div 2 = 0.9375[/tex]
[tex]\implies a_5=0.9375 \div 2 =0.46875[/tex]
Completed table:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} n&t(n) \\\cline{1-2} \vphantom{\dfrac12} 1& 7.5\\\cline{1-2} \vphantom{\dfrac12} 2& 3.75\\\cline{1-2} \vphantom{\dfrac12} 3&1.875 \\\cline{1-2} \vphantom{\dfrac12} 4& 0.9375\\\cline{1-2} \vphantom{\dfrac12} 5& 0.46875\\\cline{1-2} \end{array}[/tex]
Part (b)As the given sequence has a constant ratio of 0.5, it is a geometric sequence.
Part (c)[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
The first term of the sequence is 7.5. Therefore,:
a = 7.5The common ratio is 0.5. Therefore:
r = 0.5Therefore, to write an equation for the given geometric sequence, substitute the found values of a and r into the formula:
[tex]a_n=7.5(0.5)^{n-1}[/tex]Luis gana actualmente 12000 pesos mensuales cuánto ganaría si su salario incrementa 14%
Luis genera $13680 al mess, sir se incremental un 14% ell valor de sub seldom actual.
What is Luis grana accumulate incremental ?De actedron con las condictiones dadas, planter=12000*(14% + 1)
Calculary loss dos primero's terminus =12000*1.14
Calculary loss dos primero's terminus =13680
get the result=13680
Explication paso a paso:
multiplicate ell 14% de 12.000= 1.680
le sulfas ese 1.680 a 12.000 y tee da ell resulted de 13.680
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Convert $2525 US to Argentine pesos using the conversion $0.23364 US per 1 Argentine peso. Round your answer to the nearest peso.
By using the given relation, we can perform a change of units to get:
$2525 = 108,072.25 Ars.
How to do the conversion?Here we want to do a change of units, from US dollars to Argentine pesos.
We know the relation:
$0.023364 = 1 Ars.
Here we want to convert $2525 to argentine pesos, then we just need to divide by $0.023364
$2525 = ($2525/$0.023364) ars = 108,072.25 Ars.
That is the equivalent amount in Argentine pesos.
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an expression is shown. 8x^3-12x^2-2x+3
Therefore , the solution of the given problem of expression comes out to be 4x² +1 cannot equal 0 and thus (4x²≥0+1) has no Real factors.
what is an expression means?Verifying an algebraic expression requires substituting a number for each variable and performing arithmetic operations. Given that 6 + 6 equals 12, the answer variable in the example above is equivalent to 6. If we are aware of the values of the variables, we can substitute those values for the original ones, which will allow us to evaluate the expression.
Here,
It is important to note that now the ratio of a coefficient of the terms
The coefficient ratio of the words
8x³ and 2x is 8:2 = 4:1, and the coefficient ratio of the phrases 12x² and 3 is 12:3 = 4:1.
This suggests that we should categorize the original statement as follows:
This suggests that we should combine the original expression, which is written as
=> (8x³+2x)(12x²+3)=2x(4x²+1))3(4x²+1),
before determining the common component (4x2+1)=(2x³)(4x2+1).
The fact that 4x²≥0 for x ∈ R means that
4x² +1 cannot equal 0 and thus (4x²≥0+1) has no Real factors.
Therefore , the solution of the given problem of expression comes out to be 4x² +1 cannot equal 0 and thus (4x²≥0+1) has no Real factors.
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Use this information to evaluate the following. Hint: do not try to solve for the value of a. loga 2 = 0.36 loga 3 = 0.56 logą 5 = 0.83 (a) loga 15 = 1.39 kor. (E) - log, (b) -.47 (c) log, (8a*) = 8.72
a) To evaluate loga 15, we can use the property of logarithms that states logab = loga + logb. Since 15 = 3 * 5, we can use this property to find that loga 15 = loga 3 + loga 5. Since loga 3 = 0.56 and loga 5 = 0.83, we can add these values to find that loga 15 = 0.56 + 0.83 = 1.39.
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner.
Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
b) To evaluate loga(2/5), we can use the property of logarithms that states log(a/b) = loga - logb. Since 2/5 = 2*(1/5) we can use this property to find that loga(2/5) = loga2 - loga(1/5). Since loga2 = 0.36 and loga(1/5) = -loga5, we can subtract these values to find that loga(2/5) = 0.36 - 0.83 = -0.47
c) To evaluate loga (8a^4), we can use the property of logarithms that states log (a^n) = nloga. We get, loga (8a^4)=loga 8 + log (a^4)
=> loga 8 + loga (a^4)
=>3loga 2 + 4 loga a
=>3loga 2 + 4
=>3 * 0.36 + 4
=5.08
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Here are the weights (in pounds) of a sample of 13 male eleventh graders.
148, 140, 159, 141, 151, 156, 173, 167, 160, 159, 146, 174, 170
Send data to calculator
Find the median weight of these students.
pounds?
Answer:
159
Step-by-step explanation:
Median = When ordered least to greatest, the number in the middle
140, 141, 146, 148, 151, 156, 159, 159, 160, 167, 170, 173, 174
18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.
The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.
What is a linear factor of a polynomial?The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.
A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.
You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.
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brooke has a square yard with grass and gravel parts as shown. The perimeter of the part covered in gravel is 22 meters. what is the area of the grass section of Brookes yard
Brooke's yard is a square with a side length of 22 meters.
What is perimeter?Perimeter is the total distance around the outside edge of a two-dimensional shape. Perimeter is a measure of the length of the boundary of a shape and is typically expressed in units of length, such as feet or meters. Calculating the perimeter of a shape can help you measure the size of a yard, garden, or other outdoor area.
Since the perimeter of the part covered in gravel is 22 meters, we can use the formula for the perimeter of a square (4s) to find the length of one side of the square. Therefore, the side length of the part covered in grass is 4s = 22, or s = 5.5 meters.
Using the formula for the area of a square (A = s²), we can calculate the area of the grass section of Brooke's yard. The area of the grass section of Brooke's yard is A = s²= 5.5²= 30.25 square meters.
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Sam weighed 105 lbs. before the holidays. She now weighs 110 lbs. Find the Percent of Change.
Answer:
5%
Step-by-step explanation:
105=100
110=x
*cross multiply*
=100x110/105
=104.76
=100-105
=5%
subtract the answer gotten with the 100 %
Help to count area, i’am too bad for this, thank’s
Answer:
a) 93 cm²
b) 98 cm²
Step-by-step explanation:
You want the areas of the squares shown in each of the figures.
Pythagorean theoremThe Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides of a right triangle.
a)The square of the hypotenuse is 17² = 289.
The sum of the squares of the other two sides is ...
shaded square + (14)² = 17²
shaded square + 196 = 289
shaded square = 289 -196 = 93 . . . . cm²
Sabcd = 93 cm².
b)The square of the diagonal is the sum of the squares of the sides. Each of those squares is the area of interest:
14² = (shaded square) + (shaded square)
196 = 2(shaded square)
98 = shaded square
Sabcd = 98 cm².
__
Additional comment
Perhaps you have seen the attached figure. It is intended to show the squares on each of the legs of the right triangle, and to illustrate that the sum of the areas of the green and purple squares is the area of the red square. This figure compares to the one for part (a) of the problem.
a² +b² = c² ⇒ a² = c² -b²
The average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today, how much more time did she have her eyes open than closed.? PLEASE HELP TYSM!!!
Answer:
she had here eyes open for 12.4 more hours than she had them closed
Step-by-step explanation:
1/10 eyes closed = 9/10 eyes open
9/10 is 90% is 0.9
1/10 is 10% is 0.1
15 1/2 is 15.5
15.5 x 0.9 = 13.95
15.5 x 0.1 = 1.55
13.95-1.55 = 12.4
A rectangle has a perimeter of 112. If the sides are 5x & 3x + 5, what is x and what are each of the sides?
The value of X is 7.625 while the two sides are 38.125 and 27.875.
To find the perimeter:Perimeter = 2(L+B)
112 = 2(5x + 3x + 5)
112 = 2(8x + 5)
Dividing both sides by 2
56 = 8x + 5
56 + 5 = 8x
61 = 8x
x = 61/8
x = 7.625
The sides are;
5x = 5(7.625)
5x = 38.125
3x + 5 = 3(7.625) + 5
3x + 5 = 22.875 + 5
3x + 5 = 27.875
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3. Gary's Gardens and Peter's Produce sell carrots in bulk. The table shows how much Peter's Produce
charges for carrots. The graph shows how much Gary's Gardens charges for carrots. For one pound
of carrots, how much more does Gary's Gardens charge than Peter's Produce?
Gary's Gardens
Peter's Produce
Weight (pounds) Cost (dollars)
12
16
28
3.
4
7
Cost (dollars)
50
45
40
35
30
25
15
10
5
10
20
30
40 50 60
Weight (pounds)
70
2
8
100
Therefore , the solution of the given problem of unitary method comes out to be $ 4 for garry and $ 1.33 for peter.
What is a unitary method, exactly?To accomplish a task through using unitary procedure, multiply the number of a tiny slice by two after first determining its size. The unit technique, to put it simply, is used to isolated a programmed object from either a specific set or set of sets. For illustration, 40 pens would cost 400 pounds ($1.01), or Rs. It's feasible that one nation will have complete control over the technique used to do this. Almost all living things have a unique characteristic. It can integrate and reciprocate in equal measure (mathematics, algebra).
Here,
Given :
Garry charges for one carrot for :
=> 12/3
=> $ 4
Peter charges for one carrot :
=> 20/15
=> 4/3
=> $ 1.33
Therefore , the solution of the given problem of unitary method comes out to be $ 4 for garry and $ 1.33 for peter.
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5) Choose the best answer.
Which property is illustrated?
For all expressions a, b, and c, (ab)c = a(bc)
Distributive Property of Equality
Commuttive Property of Multiplication
Multiplication Property of Equality
Division Property of Equality
Associative Property of Multiplication
The best estimate willl 20
Step-by-step explanation:I
The number of views on a viral video can be modeled by the function J(t)=28(4)^{2t+2}.J(t)=28(4) 2t+2 . Write an equivalent function of the form J(t)=ab^t.J(t)=ab t
The equivalent function of the form J(t)= ab^t is J(t) = 448(16)^(t)
How to write an equivalent function of the form J(t)= ab^t?Equivalent functions are functions that work the same even though they look different. If two exponential functions are equivalent, then the two functions will have the same value when we substitute the same value(s) for the variable(s).
We can write the given function, (t)=28(4)^(2t+2) as:
J(t) = 28(4)^(2t+2)
J(t) = 28(4²)^(t) × 4²
J(t) = 28(16)^(t) × 16
J(t) = 448(16)^(t)
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A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.
The remaining solid is to be painted on all its surfaces. Find the area that will be covered in paint.
the total area will be covered in the paint will be 2143.9cm²
What is cylinder?
Two parallel, identical bases connected by a curving surface form a 3D solid shape known as a cylinder. Similar to a disc in shape, these bases. The axis of the cylinder shape is a line drawn through the middle of, or connecting, two circular bases. Perpendicular distance is the measurement separating the two bases, and it is denoted by the letter "h," which stands for height. The distance between the two circular bases' centers and outer edges is known as the cylinder's radius and is denoted by the letter "r". A rectangle and two circles combine to form the cylinder.
A cylinder with base radius of 4 cm and a height of 7 cm is removed from the cuboid.
Volume of cuboid is = 16*15*24 = 5760 cm³
Volume of the cylinder = π r² h = π* 4² *7 = 351.85 cm³
So the surface area of the cylinder = 2π r h = 2*π*4*7 = 175.9 cm²
Total area of the cuboid = 2(240+360+384) = 1968
Toatl area = 1968+175.9 = 2143.9cm²
So the total area will be covered in the paint will be 2143.9cm²
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Joe needs to transfer 28 quarts of oil into one-gallon containers. Joe calculated that he needs 112 containers, but he made a mistake in his calculations. Identify and correct his error.
28 quarts times 4 quarts over 1 gallon = 28 over 1 quarts times 4 quarts over 1 gallon, = 28 times 4 over 1 times 1 gallons = 112 gallons.
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Joe made a mistake in his calculations by multiplying 28 quarts by 4.
How to illustrate the word problem?To know the mistake that Joe made and the possible correction, we shall convert 28 quart to gallon.
Recall that 4 quart = 1 gallon
Therefore, 28 quart will be:
= 28 quart × 1 gallon / 4 quart
28 quart = 7 gallon
Therefore, 28 quarts is equivalent to 7 gallons.
Hence, Joe made a mistake in his calculations by multiplying 28 quarts by 4 instead of dividing 28 quart by 4.
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