The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.

B. The slope of the graph of k is 2.

C. The graph of k passes through (-1, -8).

D. The zero of k is 3.

Fr someone help me

Answers

Answer 1

Answer:

B. The slope of the graph of k is 2.

Step-by-step explanation:

Find the equation of the line.

The slope is:

m = (8 - 0)/(1 + 3) = 2

The y-intercept is:

0 = -3*2 + bb = 6

The line is:

y = 2x + 6Now lets look at the answer options

A. The x-Intercept of the graph of k is 8.

The x- intercept is -3, False

B. The slope of the graph of k is 2.

m = 2, True

C. The graph of k passes through (-1, -8).

-8 = 2(-1) + 6-8 = 4, False

D. The zero of k is 3.

x = 0 ⇒ y = 0+ 6 = 6,  False
Answer 2

The slope of the graph of k is 2.

The correct statement is B.

Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).

We need to check which option is correct.

To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).

The slope of a linear function is given by:

slope = (change in y) / (change in x)

Using the points (-3, 0) and (1, 8):

slope = (8 - 0) / (1 - (-3))

slope = 8 / 4

slope = 2

So, the slope of the graph of k is 2.

Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

Using the point (1, 8):

8 = 2 × 1 + b

8 = 2 + b

b = 8 - 2

b = 6

Now, the equation of the linear function k is:

y = 2x + 6

Now, let's evaluate the given statements:

A. The x-Intercept of the graph of k is 8.

To find the x-intercept, we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The x-intercept is -3, not 8. So statement A is false.

B. The slope of the graph of k is 2.

We already found earlier that the slope of k is 2. So statement B is true.

C. The graph of k passes through (-1, -8).

Let's check if (-1, -8) satisfies the equation of k:

-8 = 2 × (-1) + 6

-8 = -2 + 6

-8 = 4

The equation is not satisfied, so statement C is false.

D. The zero of k is 3.

To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The zero of k is -3, not 3. So statement D is false.

In conclusion:

Statement A is false.

Statement B is true.

Statement C is false.

Statement D is false.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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The answer is A try it

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours.

Answers

Question:

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Which times and distances are represented by the function?  

(a)The starting distance, at 0 hours, is 300 miles.

(b) At 2 hours, the traveler is 725 miles from home.

(c) At 2.5 hours, the traveler is 875 miles from home.

(d) At 3 hours, the distance is constant, at 880 miles.

(e) The total distance from home after 6 hours is 1,062.5 miles.

Answer:

At 2 hours, the traveler is 725 miles from home.  At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062.5 miles.

Step-by-step explanation:

Given

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Required

Select the right options

(a) t = 0 hours, d(t) = 300 miles.

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

So, we have:

[tex]D(0) = 300*0 + 125[/tex]

[tex]D(0) = 0+125[/tex]

[tex]D(0) = 125[/tex]

(a) is incorrect

(b) t =2 hours, d(t) = 725 miles

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

[tex]D(2) = 300 *2 + 125[/tex]

[tex]D(2) = 600 + 125[/tex]

[tex]D(2) = 725[/tex]

(b) is correct

(c) t = 2.5 hours, d(t) = 875 miles

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(2.5) = 800[/tex]

(c) is incorrect

(d) t = 3 hours, d(t) = 880 miles constant

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(3) = 800[/tex]

(d) is correct

(e) t = 6 hours d = 1,062.5 miles.

To check this, we make use of:

[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]

So, we have:

[tex]D(6) =75*6 + 612.5[/tex]

[tex]D(6) =450 + 612.5[/tex]

[tex]D(6) =1062.5[/tex]

(e) is correct

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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What is surface area of a cone?

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Answers

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Answers

Answer:

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Step-by-step explanation:

First, you have to figure out the volume of the refrigerator which your equation is:

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Step-by-step explanation:

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Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Given,

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oof oof oof oof oof oof

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Step-by-step explanation:

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Answers

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100 points HELP ASAP!!!!!
This question has two parts. First, answer part A. Then, answer part B. ill put story at bottom

Part A
What is the purpose of the first paragraph of the article?

A.
to tell where the Eiffel Tower and Hoover Dam are located

B.
to show just how different the Eiffel Tower and Hoover Dam are

C.
to explain what is meant by the phrase “marvels of engineering”

D.
to describe how one type of material was used to make different structures

Part B
Which detail from the text best supports your answer in part A?

A.
“It’s hard to imagine two more different structures . . .”

B.
“Everyone expected it to remain in place for many, many years.”

C.
“Each piece had to be the right size and shape.”

D.
“Teams of people worked to take out the bolts and put in the rivets.”

MARVELS OF ENGINERING

It’s hard to imagine two more different structures than the Eiffel Tower and Hoover Dam. For one thing, the Eiffel Tower is in Paris, France, and Hoover Dam is on the border between Nevada and Arizona. The Eiffel Tower is elegant and delicate looking, but Hoover Dam looks like a huge slab of concrete. The Eiffel Tower was made of many parts put together. But the concrete for Hoover Dam was poured at the site. The Eiffel Tower was built for a fair and was not intended to remain in place for long. Hoover Dam was built to allow water to be used in desert country and to create electricity. Everyone expected it to remain in place for many, many years.


Even though these two structures are so different, there are similarities. Each required great effort to complete. Each also necessitated the involvement of many workers. The workers on each faced many challenges and difficulties, and each was built in a series of steps. Each is huge but was built quickly, considering the amount of labor involved.


All of the Eiffel Tower’s parts were made in a factory near Paris. Each piece had to be the right size and shape. Smaller parts were put together and then joined to form a larger piece. These large pieces were put together at the site of the tower. Bolts held together the pieces made at the factory. At the tower, these bolts were pulled out and replaced with hot rivets. Teams of people worked to take out the bolts and put in the rivets.


Hoover Dam was built to replace one that had been washed away, but it was built in a new place. Four tunnels were blasted through rock to cause the Colorado River to flow in new directions. Then the river’s canyon walls had to be cleared. From great heights, workers dangled from ropes. With only air below their feet, they prepared the area for great concrete walls. Far underneath them, the area for the foundation was cleared of mud and loose rock. When this was finished, tons of wet concrete were poured into a gigantic form. For thirty months, concrete was poured until the work was done. Across the Colorado River stood a dam 700 feet tall. When the water was allowed to rush through tunnels, it passed through giant rotary engines, and as their parts whirled, they created electricity.


Making electricity and using water to irrigate dry land were both practical purposes for Hoover Dam. But the Eiffel Tower had no original purpose but to be beautiful. The man who designed it, Gustave Eiffel, looked for a practical use for it. The tower was more than a thousand feet tall, and it was a perfect place for a radio antenna. So, a radio station was built on the tower.


Both the Eiffel Tower and Hoover Dam are popular tourist attractions. Each is considered a marvelous example of engineering skill.

Answers

B I think??? Because in the first paragraph and last they all compare about how long it took and how good.

awnser for a: d

awnser for b: a

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