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2 years ago

Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

1 answer:

7 0

From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up. the correct option is C.

<h3>How to know if a point lies in the graph of a function?</h3>

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Given;

Suppose that g(x) = f(x) + 6.

From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up.

Hence, the correct option is C.

Learn more about points lying on the graph of a function here:

brainly.com/question/1979522

The complete question is

"Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

A) The graph of g(x) is the graph of f(x) shifted 6 units down.

B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.

C) The graph of g(x) is the graph of f(x) shifted 6 units up.

D. The graph of g(x) is the graph of f(x) shifted 6 units to the right."

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Every day a factory produces 5000 light bulbs, of which 2500 are type 1 and 2500 are type 2. if a sample of 40 light bulbs is se

alisha [4.7K]

<span>The solution: = 40, p = q = 0.5 P[x] = nCx *p^x *q^(n-x) when p = q = 0.5, the formula simplifies to P[x] = nCx/2^n = 40Cx/2^40 at least 18 of each type means 18 to 22 of (say) type I P(18 <= X <= 22) = 0.5704095 <------- qb mean = 40*0.5 = 20 SD = sqrt(npq) = sqrt(40*0.5*0.5) = 3.1623 z1= (18-20)/3.1623 = -0.63 , z2 = (22-20)/3.1623 = 0.63 P(-0.63 < z < 0.63) = 0.4713 <-------</span>

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3 years ago

Laura wants to place one flowerpot 3/4 every meters along the path from the gate to the main entrance of her home. The path is 1

Alex17521 [72]

Answer:

Step-by-step explanation:

3/4 = 0.75

12/0.75=16

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2 years ago

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages comple

bekas [8.4K]

Answer:

8x = 136

Where: x = 17

Step-by-step explanation:

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.

Let the number of pages read per day = x

Hence, the number of pages after 8 days = 8 × x = 8x

Total number of pages = y= 136

Therefore:an equation relating x, the number of days, to y, the total pages.

= 136 = 8x

Solving for x

136/8 = x

x = 17

7 0

3 years ago

The Odd and even numbered hotel rooms are on different sides of the hall room 23q is between which two rooms

diamong [38]

It is between room 21 and 25

6 0

3 years ago

stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the president's height minus their main opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.

5 0

3 years ago