Suppose that the function f(x) is the parrent function and the graph of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by shifting down a units.

Rewrite the expression for the function $g(x)$ in the following way:

$g(x)=32x-9=32x+8-8-9=32x+8-17=f(x)-17.$

This shows that the shift down is made by 17 units.

Answer: 17 units

4 0

3 years ago

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What is the equation of the following line?

Irina18 [472]

Answer:

Y=5x

Step-by-step explanation:

slope equation

y-y1

x-x1

10-0=10

2-0=2

10/2=5

7 0

2 years ago

What is the scale factor from AABC to ADEF?

8_murik_8 [283]

Answer: 8

Step-by-step explanation:

We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.

Eliminate A and D.

We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8

7 0

2 years ago

The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is

lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}$

Where:

${\hat{p}$ = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

$z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99$

Therefore;

${\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}$

${\hat{p}$ = 0.6057

$Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057$

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0

2 years ago