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olchik [2.2K]
3 years ago
7

If the function h(x) Is defined as vertical stretch by a factor of 2 followed by a reflection in the X-axis of the function F(x)

then h(x)=
A)2f(-x)

B) 1/2 f(x)

C) -1/2 f(x)

D) -2f(x)
Mathematics
1 answer:
Ivan3 years ago
3 0

Answer: C) -1/2 f(x)

Step-by-step explanation:

vertical stretch by a factor of 2 means that the stretch occured at Y - axis.

Then h(x) will transform to 2h(x)

It followed by a reflection in the X-axis of the function F(x) 

Then 2h(x) will transform to - 2h(x)

Where F(x) = - 2h(x)

Make h(x) the subject of the formula

h(x) = - 1/2f(x)

C is the correct answer

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The cost of a pizza with the works" is represented as a function of its
Nina [5.8K]

Answer:

diameter of the pizza = 21.88 centimeters

Step-by-step explanation:

Given:

C = d^2 – 2d + 447

where

C = cost of the pizza

d = diameter of the pizza

If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?

12 = d^2 – 2d + 447

d^2 - 2d = 447 - 12

d^2 - 2d = 435

d^2 - 2d - 435 = 0

Solve the quadratic equation using formula

a = 1

b = -2

c = -435

d = -b +or- √b^2 - 4ac / 2a

= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)

= 2 +or- √4 - (-1740) / 2

= 2 +or- √4 + 1740 / 2

= 2 +or- √1744 / 2

= 2 +or- 4√109 / 2

= 2/2 +or- 4√109/2

= 1 +or- 2√109

d = 1 + 2√109 or d = 1 - 2√109

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= 1 + 20.88 or d = 1 - 20.88

d = 21.88 or -19.88

diameter of the pizza = 21.88 centimeters

Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm

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3 years ago
Which function is non linear y-4x=1 y=2+6x^4 x-2y=7
ioda

Answer:

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Step-by-step explanation:

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Select the figure that would be next in the pattern below.
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Answer:

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Step-by-step explanation:

To find Carys' earnings in one hour, fill in h=1 in the formula:

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Carys earns 10 dollars per hour.

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It takes 0.1 hours for Carys to earn 1 dollar.

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