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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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1. A windshield wiper blade is 18 in Long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees
sveta [45]

1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

4 0
3 years ago
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheel goes around? (U
boyakko [2]

Answer:

Step-by-step explanation:

28x pi=87.96 in

8 0
3 years ago
The scores of individual students on the American College Testing (ACT) Program composite college entrance examination have a No
jeyben [28]

Answer:

The sample size must be atleast 3600

Step-by-step explanation:

We are given the following in the question:

The scores of individual students on the American College Testing (ACT) Program is a bell shaped distribution that is a normal distribution.

Population standard deviation = 6.0

We want that the sample standard deviation should not be more than 0.1.

Thus, the standard error should not be more than 0.1.

Standard error =

=\dfrac{\sigma}{\sqrt{n}}

Putting values, we get,

\dfrac{\sigma}{\sqrt{n}}\leq 0.1\\\\ \dfrac{6}{\sqrt{n}} \leq 0.1\\\\ \sqrt{n}\geq 60\\n\geq 3600

Thus, the sample size must be atleast 3600

3 0
3 years ago
Determine the margin of error, , for a 99% confidence interval when the sample size is =19 and the sample standard deviation is
aivan3 [116]

Answer:

± 5.919

Step-by-step explanation:

Margin of Error formula = z × standard deviation/√n

Z score for 99% confidence interval = 2.58

n = 19

Standard deviation = 10

Margin of Error = 2.58 × 10/√19

= ± 5.9189259339

Approximately to 3 decimal place = ± 5.919

4 0
3 years ago
-4(w+3)+5w what is this answer
Naily [24]
The answer is of your question is 
w-12
6 0
3 years ago
Read 2 more answers
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