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vfiekz [6]
3 years ago
11

Which equation best represents the line? (10 Points)

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer: D. y = 3x − 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 2

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3

To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c

y = mx + c. It becomes

2 = 3 × 1 + c = 3 + c

c = 2 - 3 = - 1

The equation becomes

y = 3x - 1

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Answer:

13R

Step-by-step explanation:

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3 0
3 years ago
Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.
svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

\frac{F(b)-F(a)}{b-a}

In this case, F(x) = 0.5x^{2} +5x+9

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = (0.5)4^{2} + 5(4) +9= 37

F(a) = (0.5)2^{2} + 5(2)+9=21

\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8

The answer is 8.

3 0
2 years ago
Can you find the area for this?
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Answer:

b. is the right answer of your question

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Angela had $22.70 to spend on groceries. After buying 8 pineapples, she had $3.50 left. If each pineapple was the same price, wh
sesenic [268]

Answer:

$2.40

Step-by-step explanation:

First, you would do 22.70 minus 3.50, to get 19.20.

Then, you would divide 19.20 by 8, to get 2.4.

So, if each pineapple was the same price, each pineapple would be $2.40.

3 0
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Step-by-step explanation:

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