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Related Questions
Start with the graph of the absolute value function. Stretch it by a factor of 3 and shift 2 units up.
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The absolute value function of the given expression is g(x) = 3*Ix + 2I.
What is the role of absolute value?The absolute value function is often assumed to provide the number's distance from zero on a number line. Algebraically, the output is really the value without respect to sign regardless of what the input value is.
According to the given data:Let's define transformations in broad strokes.
A vertical stretch with scale factor A is denoted by:
g(x) = A*f(x)
A vertical shift in A units is denoted by:
g(x) = f(x) + A
If A is positive, the shift is positive; if A is negative, the shift is negative.
A horizontal shift in A units is denoted by:
g(x) = f(x - A)
If A is greater than zero, the shift is toward the right.
The shift to the left if A is negative.
Then we begin with the maximum value parental function f(x) = IxI.
"The graph of both the absolute value parent function has been stretched vertically by a factor of three."
we can start with:
g(x) = 3*f(x)
"then shifted two units left"
g(x) = 3*f(x - (-2))
and since f(x) = IxI, they have:
g(x) = 3*Ix + 2I
the absolute value function of the given expression is g(x) = 3*Ix + 2I.
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Under her cell phone plan, Fatoumata pays a flat cost of $59 per month and $3 per
gigabyte. She wants to keep her bill under $75 per month. Which inequality can be
used to determine x, the maximum number of gigabytes Fatoumata can use while
staying within her budget?
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Answer:
[tex]59 + 3x < 75[/tex]
Step-by-step explanation:
We know from the question that Fatoumata pays a flat cost of $59 per month and $3 per gigabyte.
If we consider [tex]x[/tex] to be the number of gigabytes she uses in a month, then her bill every month can be represented by the following expression:
[tex]59 + 3x[/tex] .
We are told that the bill has to be kept under $75. Therefore:
[tex]59 + 3x < 75[/tex]
This inequality can be used to solve for [tex]x[/tex], and so we can use it to find the maximum number of gigabytes she can use while keeping the bill under $75.
The inequality for the maximum number of gigabytes Fatoumata can use while staying within her budget will be equal to $59 + $3(x) < $75.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Price of cell phone plan per month = $59
The price per gigabyte = $3
Then, the equation as per the statement will be,
$59 + $3(x)
Here, x is the number of gigabytes used in a month.
So, the inequality will be,
$59 + $3(x) < $75
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need help with this
Answers
Answer:
1
Step-by-step explanation:
1 is the number in which its reciprocal is its own because 1 has both the same numerator and denominator which means the reciprocal is the same. For example, 1/1 is equal to 1 and the reciprocal of 1/1 is 1/1
2/2 is equal to 1 and the reciprocal of 2/2 is 2/2
This can keep going on and on.
Hope this helps!
The age of two sibling are 10 and 13 years. In how many year will the product of their ages be 340?
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Answer:
no choice but an hour or so much
The mural in the art gallery is 7 meters tall. It's 69 centimeters taller than the marble sculpture. How tall is the sculpture?
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Find the height of the marble sculpture if the mural is 69 centimeters taller.
Solution:
Convert the height of the mural into centimeters to easily calculate how tall it is from the marble sculpture.
1 meter = 100 cm
7 meters = 700 cm
Subtract 69 cm from 700 cm in order to get the height of the marble sculpture.
700cm - 69 cm = 631 cm
Convert 631 cm into meters by dividing it with 100.
=631 /100
= 6.31 m
The height of the mural is 6.31 m
A man deposited 350 in his account in the bank.a simple interest of 4 percent per annum was paid on his deposit.calculate the total amount at the end of 4 years?
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The total amount payable at the end of 4 years is 406
In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.
here we have to apply the formulla of simmple interest :
(principal × rate of interest × no. of years )/ 100
In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4
Simple interest = pnr/100
= (350 × 4 × 4)/100 = 56
Matured Amount = Principal + Interest
= 350 + 56 = 406
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What fraction of 1meter is 45centimetres
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The fraction that is is 45 centimeters of 100 meters is: 9/20.
How to Calculate Fractions?To find the fraction of 1 meter that 45 centimeters is, make the units uniform.
That is, convert 1 meter to centimeters.
100 centimeters = 1 meter
Therefore, we would find what fraction is 45 centimeters of 100 centimeters (1 meter):
45 centimeters of 100 centimeters (1 meter) = 45/100
Reduce the fraction to its simplest form
45/100
45 divided by 5 = 9
100 divided by 5 = 20
Therefore, we would have:
45/100 = 9/20
In summary, the fraction that is is 45 centimeters of 100 meters is: 9/20.
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Which of the following is a true statement? 43,962 < 34,048 20,473 < 24,928 21,046 > 26,397 32,433 > 34,048
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Answer:
b) 20,473 < 24,928
Step-by-step explanation:
43,962 < 34,048
21,046 > 26,397
32,433 > 34,048
all have the sign pointed the wrong way
Answer: 20,473<24,928 is true
Step-by-step explanation:because 20,473 is less than 24,928 and 24,928 is greater than 20,473
what is
3x+2(4x-4)=3
Answers
Answer:
x = 1
Step-by-step explanation:
Distribute
3x + 8x - 8 = 3
Gather like terms
11x - 8 = 3
Add 8 to both sides
11x = 11
Divide both sides by 11
x = 1
is 4/3 and 3/4 equivalent fractions
Answers
Answer:
no
Step-by-step explanation:
3/4 is equivalent to 6/8,9/12, and 15/20
If rectangle A has sides that are three times the length of those in rectangle B, how do the areas of the two rectangles compare?
A. The area of A is three times the area of B.
OB. The area of A is six times the area of B.
OC. The area of A is eight times the area of B.
OD. The area of A is nine times the area of B.
E. The area of A is twelve times the area of B.
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Answer:
D. The area of A is nine times the area of B.Step-by-step explanation:
Area is the function of two dimensions.
If each dimension is increased 3 times then the area will increase:
3*3 = 9 timesCorrect choice is D
Help me solve this problem please.
Answers
Answer:
C. 1889
Step-by-step explanation:
Given fixed weekly costs of $3778 and a variable cost per handle of $1, you want to know how many handles must be produced weekly for sale at $3 each to break even.
Contribution marginThe "contribution margin" of each handle is the difference between its variable cost and its selling price:
$3 -1 = $2
Break evenThe enterprise will break even when the sum of contribution margins is equal to the fixed costs. If h is the number of handles produced and sold, then to break even, we must have ...
2h = 3778
h = 1889
1889 handles must be molded weekly to break even.
__
Additional comment
You get the same result if you write the profit equation and solve for the number of handles that makes profit be zero.
profit = revenue -cost
0 = (3h) -(3778 +1h)
3778 = 2h . . . . . as above
1889 = h
All changes saved
5. The 50 snakes in the serpentarium include families of 10 vipers, 23 colubrids, 9 elapids, and 8 giant snakes.
Calculate the percent of each type of snake. Use the percent that you find and multiply each times 360° to
find the number of degrees for each sector.
I need help solving the percent and degree
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Percent of vipers is 20% and its degree is 72 degrees.
Percent of colubrids is 46% and its degree is 165.60 degrees.
Percent of elapids is 18% and its degree is 64.80 degrees.
Percent of giant snakes is 16% and its degree is 57.60 degrees.
How we do calculate the percent and degree?The percent can be calculated as follows:
Percent of vipers = (Number of vipers / Total number of snakes) * 100 = (10 / 50) * 100 = 0.20 * 100 = 20%
Percent of colubrids = (Number of colubrids / Total number of snakes) * 100 = (23 / 50) * 100 = 0.46 * 100 = 46%
Percent of elapids = (Number of elapids / Total number of snakes) * 100 = (9 / 50) * 100 = 0.18 * 100 = 18%
Percent of giant snakes = (Number of giant snakes / Total number of snakes) * 100 = (8 / 50) * 100 = 0.16 * 100 = 16%
The degrees can be calculated as follows:
Degree of vipers = Percent of vipers * 360 = 20% * 360 = 72 degree
Degree of colubrids = Percent of colubrids * 360 = 46% * 360 = 165.60 degree
Degree of elapids = Percent of elapids* 360 = 18% * 360 = 64.80 degree
Degree of giant snakes = Percent of giant snakes * 360 = 16% * 360 = 57.60 degree
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2. In a certain town, the tricycle fare for the first kilometer costs ₱15.00. An additional amount of ₱6.50 is added for every succeeding kilometer. If Anthony paid, ₱47.50 to the tricycle driver, how many kilometers did he travel?
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In linear equation, he travelled 6 kilometers .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.the tricycle fare for the first kilometer costs = 15.00
additional amount = 6.50
Anthony paid to the tricycle driver = , 47.50
47.50 - 15.00 = 32.50
32.50 ÷ 6.50 = 5
5 km + 1km = 6km
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help would be appreciated :)
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Answer: Trust me if you want but I think it is parallelogram. Maybe?
m∠2=30 find m∠4
Please help!
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Step-by-step explanation:
the answer is, so we are adding and multiplying by 2, so here is the answer: m<4=60
Answer:
m∠2 and m∠4 are opposite angles, this means that they are the same. Since m∠2 is 30 degrees, m∠4 is also 30 degrees.
Points A and B have coordinates A(–4,2) and B(3,–6) . Find the coordinates of point P, the weighted average of points A and B, in which point A has a weight of 2 and point B has a weight of 5.
HELP ME GEOMETRY THX
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The coordinates of the point P is P(x, y) = (1, - 26 / 7). (Correct choice: C)
How to calculate a resultant point's coordinates using the weighted averages method?
We must locate the third point by applying a method based on a weight average-like formula after finding the coordinates of two points on the Cartesian plane:
P(x, y) = (2 / 7) * A(x, y) + (5 / 7) * B(x, y)
P(x, y) = (2 / 7) * (- 4, 2) + (5 / 7) * (3, - 6)
P(x, y) = (- 8 / 7, 4 / 7) + (15 / 7, - 30 / 7)
P(x, y) = ( 7 / 7, - 26 / 7)
P(x, y) = ( 1, - 26 / 7)
Therefore, the coordinates of the point P is P(x, y) = ( 1, - 26 / 7).
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The coordinates of the point P is P(x, y) = (1, - 26 / 7). (Correct choice: C)
How to calculate a resultant point's coordinates using the weighted averages method?
We must locate the third point by applying a method based on a weight average-like formula after finding the coordinates of two points on the Cartesian plane:
P(x, y) = (2 / 7) * A(x, y) + (5 / 7) * B(x, y)
P(x, y) = (2 / 7) * (- 4, 2) + (5 / 7) * (3, - 6)
P(x, y) = (- 8 / 7, 4 / 7) + (15 / 7, - 30 / 7)
P(x, y) = ( 7 / 7, - 26 / 7)
P(x, y) = ( 1, - 26 / 7)
Therefore, the coordinates of the point P is P(x, y) = ( 1, - 26 / 7).
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An 18-foot long section of a beam
weighs 2115 pounds.
If a section of the beam weighs 2350
pounds, how long is the section?
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Answer: 2 feet
Step-by-step explanation:
2115/18=117.5 pounds per foot of section
2350-2115=235
235/117.5=2 feet
I need help with this one
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Round of 1,546 to the
nearest thousands
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Answer:
1,546 ≈ 2,000
Hope this helps :)
1. To round to nearest thousands, first look at the hundreds place if the number is 1,2,3,4 then round down. If the number is 5,6,7,8,9 then round up.
if y=12, what is the value of 85y+8-80y?
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Answer: 68
Step-by-step explanation: Because I am smart
The perimeter of a rectangular price tag is 28 centimeters. The price tag is 4 centimeters tall
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The width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.
As per the question statement, The perimeter of a rectangular price tag is 28 centimeters. Its length is 4cm. We are supposed to find its width and area.
Let width be [tex]w[/tex]
Perimeter = [tex]2(length*width)[/tex]
[tex]28=2(4+w)\\w=14-4\\w=10cm[/tex]
Hence width is 10 cm
Now area of rectangle = [tex]length*width[/tex]
Area = [tex]4*10=40cm^{2}[/tex]
Hence area is 40 centimeter square.
Therefore the width and area of the Rectangular tag is 10 centimeters and 40 centimeters square.
Perimeter: It is the sum of length of all sides of any figure or shape. Its significance is the length of the sides.Area: It is the space occupied by any figure or a shape.To learn more about area and perimeter, click on the link given below:
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The endpoints of CD are -6 and 15. Find the point P that partitions the segment
into the ratio 1:5.
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The point P that partitions the segment into the ratio 1:5 is 3.5
How to find the location of P?The given parameters are
C = -6
D = 15
P = 1 : 5
The location of point P is calculated as
P = 1/(1 + 5) * (D - C)
This gives
P = 1/6 * (15 + 6)
Evaluate
P = 3.5
Hence, the point P that partitions the segment into the ratio 1:5 is 3.5
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10 times a number equals 10 less than 12 times a number what is the number
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Answer:
Step-by-step explanation:
Mathematically the statement can be written as 10x=12x-1010x-12x=-10-2x=-10[tex]\frac{-2x}{-2} =\frac{-10}{-5} \\x=5[/tex]That number is 5Answer:
10×V=10-12×V=Step-by-step explanation:
this is how for I understand it buh if am wrong my badWhat is the simple interest if $1,000 is borrowed for 5 years at 5 % interest?
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Step-by-step explanation:
A= $1250
Converting R percent to R a decimal
The cost of a ticket to the circus is $14.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 700 and the total gate revenue was $19,400. How many children and how many adults bought tickets?
Answers
Answer:
300 children and 400 adults
Step-by-step explanation:
14(x) + 38(700-x) = 19,400
14x + 26,600 - 38x = 19,400
14x - 38x = -7,200
-24x = -7,200
24x = 7,200
x = 300
x = childrens
700 - x = adults
300 = children
400 = adult
snow fell at a rate of 3/4 inch/hour. How much snow fell in a period of 6 hours?
Answers
Answer:
4.5 inches
Step-by-step explanation:
Well 3/4 is the same as 0.75
First multiply 0.75 by 6 to get the answer because 0.75 is how much it fell in an hour. So if you multiply by 0.75 by six hours you get your answer. Which is 4.5
Answer:
5.5 inches
Step-by-step explanation:
Because you multiply 3 by 6
The school book fair has 72 nonfiction books and 328 fiction books for sale what percent of the book fair is non-fiction books
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Answer =About 22% of the books are nonfiction
find the number n of hours you need to study on saturday so that the mean number of hours is 1.75
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The value of the n in the mean value is 1.
According to the statement
We have to find that the value of the n in the mean.
So, For this purpose, we know that the
Mean is the simple mathematical average of a set of two or more numbers.
From the given information:
The mean number of hours is 1.75
Then
We are given that
Day Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Saturday n
Mean number of hours of study per day=1.5
Then
Total number of days=7
Using the formula:
Mean = sum of data / Total number of the data points
1.5 = 9.5+n / 7
1.5*7 = 9.5+n
10.5 = 9.5+n
n = 10.5 - 9.5
n = 1.
So, The value of the n in the mean value is 1.
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Answer if you know your right, bur don't answer just for the points
Answers
Answer:
42% is less than 5/8
Step-by-step explanation:
If 42% is converted to a fraction, it comes out to 21/50, which is smaller than 5/8. You could also convert 5/8 into a percentage, which comes out to 62.5%. :)
Answer:
42% < 5/8
Step-by-step explanation:
We're going to change 5/8 to a percent. All you have to do is 5/8, which is 0.625. If you want to convert a decimal to a fraction, you move the decimal 2 places to the right, which is 62.5. Therefore, 42% is less, or < than 5/8.