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lora16 [44]
3 years ago
13

PLZ ANSWER QUESTION IN PICTURE

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer: y=\frac{1}{3}x+\frac{13}{3}

Step-by-step explanation:

(slope = m)

m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-6}{-1-5}=\frac{-2}{-6}=\frac{1}{3}

y=mx+b, (5,6), (-1,4), m=\frac{1}{3}

y=mx+b\\6=\frac{1}{3}(5)+b\\b=6-\frac{5}{3} \\b=\frac{13}{3}\\y=\frac{1}{3}x+\frac{13}{3}

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Match the average rates of change of f(x) to the corresponding intervals.
spin [16.1K]

The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1

Download xlsx
6 0
2 years ago
The ordered pair(5,-3) is a solution to which of the following inequalities?
Dmitrij [34]

A plumber worked 26 hours a week for half a year. If his hourly wage was $40, how much did he earn during this time period?

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3 years ago
Simplest form equivalent to 3y + y + 2y - 4y
bixtya [17]

Answer:

4y+6y

Step-by-step explanation

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7 0
3 years ago
Read 2 more answers
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kykrilka [37]
The answer is 72 Pi.
5 0
3 years ago
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Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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3 years ago
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