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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 length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters
Shkiper50 [21]

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

8 0
3 years ago
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk
cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0
3 years ago
Please help im very confused
joja [24]
Download the app photo math, it will give u all the answers for those and shows the work
7 0
3 years ago
True or False. i think this is easy but
inna [77]

Answer:

of course its true

Step-by-step explanation:

8 0
3 years ago
Which of the following sets of numbers could represent the three sides of a right<br> triangle?
sweet-ann [11.9K]

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

8 0
2 years ago
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