I don’t get how to do this I need the answer

Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?

gayaneshka [121]

Answer:

A: The x-intercept of k(x) is half the x-intercept of h(x)

Step-by-step explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2

k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A

7 0

3 years ago

Which fraction has a repeating decimal as its decimal expansion? 3/25 3/16 3/11 3/8

Nuetrik [128]

Answer:

C. 3/11

Step-by-step explanation:

If you divide 3/11, it's decimal will be: .272727272727... It is a repeating decimal and a irrational number .

The others are rational numbers and can be written out:

3/25 = .12

3/16 = .1875

3/8 = .375

5 0

3 years ago

Read 2 more answers

Can someone pls explain how to answer this?

Alex_Xolod [135]

Answer:

HOPE THIS HELPS

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

a sports statistician claim that the mean winning times for boston marathon women's open division champions is at least 2.68 hou

GenaCL600 [577]

Answer:

We conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

Step-by-step explanation:

We are given that a sports statistician claim that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

The mean winning time of a sample of 30 randomly selected Boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours.

Let $\mu$ = mean winning times for Boston marathon women's open division champions.

So, Null Hypothesis, $H_0$ : $\mu\geq$ 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours}

Alternate Hypothesis, $H_A$ : p < 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is less than 2.68 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean winning time = 2.60 hours

$\sigma$ = population standard deviation = 0.32 hours

n = sample of women's open division champions = 30

So, test statistics = $\frac{2.60-2.68}{\frac{0.32}{\sqrt{30} } }$

= -1.37

The value of z test statistics is -1.37.

Now, P-value of the test statistics is given by following formula;

P-value = P(Z < -1.37) = 1 - P(Z $\leq$ 1.37)

= 1 - 0.9147 = 0.0853

Since, P-value of the test statistics is more than the level of significance as 0.0853 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

6 0

3 years ago

Y=2x+3 in ordered pairs

Iteru [2.4K]

Answer:

(0,3) , (1,5) , (2,7)

Step-by-step explanation:

4 0

3 years ago