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Ne4ueva [31]
3 years ago
7

Find the average rate of change for the given function from x = −1 to x = 2.

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0

Answer:

Average rate of change: -3

Step-by-step explanation:

We are asked to find average rate of change for our given function f(x)=-3x+2.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values in above formula, we will get:

\text{Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}

\text{Average rate of change}=\frac{(-3(2)+2)-(-3(-1)+2)}{2-(-1)}

\text{Average rate of change}=\frac{(-6+2)-(3+2)}{2+1}

\text{Average rate of change}=\frac{(-4)-(5)}{3}

\text{Average rate of change}=\frac{-4-5}{3}

\text{Average rate of change}=\frac{-9}{3}

\text{Average rate of change}=-3

Therefore, the average rate of change for our given function from x=-1 to x=2 is -3.

Mashutka [201]3 years ago
3 0

the \: average \: rate \: of \: change =  \frac{f(x2) - f(x1)}{x2 - x1}  \\  \frac{f(2) - f( - 1)}{ 2 -  - 1}  =  \\  \frac{ - 3(2) + 2 - ( - 3( - 1) + 2)}{3} =   \\  \frac{ - 6  + 2 - 3 - 2}{3}  =  \frac{ - 9}{3}  =  - 3
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Answer:

a) 6.67% b) 500% c) 40% d) 7.5%

Step-by-step explanation:

a. ? % of 75 = 5

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

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b) ?% of 28 = 140

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 28 = 140</em>

<em>y% = 140/28</em>

<em>y% = 5</em>

<em>y = 5 x 100</em>

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c) ?% of 100 = 40

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 100 = 40</em>

<em>y% = 40/100</em>

<em>y% = 2/5</em>

<em>y = 2/5 x 100</em>

y = 40%

d) ?% of 200 = 15

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 200 = 15</em>

<em>y% = 15/200</em>

<em>y% = 3/40</em>

<em>y = 3/40 x 100</em>

y = 7.5 %

!!

8 0
3 years ago
I need help answering this question!! Why does the equation (x-4)^2 – 28 = 8 have two solutions?
andre [41]

Answer:

For your first answer it is because they are two different ways to solve the equation

Step-by-step explanation:

For Example!

<h2>Solution 1:</h2>

(x-4)² – 28 = 8

The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

<h2>Solution 2:</h2>

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

<h3>I hope this helps</h3><h2>IF IT DOES HELP PLEASE GIVE IT A BRAINLIEST!</h2>
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Step-by-step explanation:

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