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cluponka [151]
3 years ago
15

Given a parent function y=x^3, write a function with the following transformations: right 3, up 2, dilated by a factor of 1/2.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0

Answer:

h(x) = (1/2)(x - 3)^2 + 2

Step-by-step explanation:

Start with y = x^3.

Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.

Next, replace the x in x^3 with (x - 3).  This shifts the graph 3 units to the right.

Last, starting with your g(x) = (1/2)(x - 3)^2, add 2

You will end up with h(x) = (1/2)(x - 3)^2 + 2.

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In 2021, the Internal Revenue Service (IRS) decreased the deductible mileage cost to 56 cents from 57.5 cents. Find the percent
Anon25 [30]

The deductible mileage cost has reduced by 2.16%

What is a percentage change?

A percentage change  compares the difference between the new amount and the old amount to the old amount.

I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost

New deductible mileage cost= 57.5 cents

Old deductible mileage cost= 56 cents

percentage decrease=(56-57.5)/57.5

percentage decrease=-2.61%

The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%

In essence, the deductible mileage cost has been reduced by 2.16%

Hundredth of a percent means two decimal places.

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1 year ago
How to Solve 9=m-4<br> And check answer
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7 0
3 years ago
Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
Kitty [74]
<h3>Answer:</h3>

1.9

Step-by-step explanation:

<h3>The above is direct and inverse variation.</h3>

A = kB/C -----------(1)

A=12

B = 3

C= 2

substitute A, B and C into equation (1).

12 = K × 3/2

12 = 3k/2

12×2 = 3k

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dividing bothsides by 3

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substitute K = 8 into equation (1)

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Equation (2) is the equation connecting

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Finding B when A = 10 and C = 1.5

10 = 8B / 1.5

10× 1.5 = 8B

15 = 8B

Dividing bothsides by 8 :

B = 15/8

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1 year ago
At a carnival, Cody bought 15 tickets. If he used 6 tickets trying to win the ring toss game, what is the ratio of tickets he ha
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15-6=9 
 
<span>9:6 simplified to 3:2
</span>
The ratio is 3:2
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