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3 years ago

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

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

3 0

I would say its A but I'm not 100%

Alenkinab [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Average rate of change for a given function is given by

$\frac{f(b)-f(a)}{b-a}$

For our question a is -1 and b is 2.

Now since points (-1,-1) and (2,5) are on the graph given it means

f(-1)=-1 and f(2)= 5

So using the formula and given values we get

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

= $\frac{5-(-1)}{2-(-1)}$

= $\frac{6}{3}$

Average rate of change = 2

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Step-by-step explanation:

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2 years ago

The yellow boxes on the bottom are the answers. Please help TYSM

sveticcg [70]

Answer:

$1.\ 8p = 64, p =8$

$2. -\dfrac{w}{4} = 8, w = -32$

$3. -5c = -20, c =4$

$4.\ 9m=45, m = 5$

$5. \dfrac{b}{25} = -3, b =-75$

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Step-by-step explanation:

Now let us see the detailed solution of each part:

Part 1:

$8p -15 = 49\\\Rightarrow 8p =49+15\\\Rightarrow 8p = 64\\\Rightarrow p =8$

Part 2:

$\dfrac{-w}{4}+18=26\\\Rightarrow \dfrac{-w}{4} = 26-18\\\Rightarrow \dfrac{-w}{4} = 8\\\Rightarrow -w = 8 \times 4\\\Rightarrow w =-32$

Part 3:

$-5c-15=-35\\\Rightarrow -5c = -35 +15\\\Rightarrow -5c = -20\\\Rightarrow c = 4$

Part 4:

$9m +10=55\\\Rightarrow 9m =55-10\\\Rightarrow 9m =45\\\Rightarrow m =5$

Part 5:

$\dfrac{b}{25}-83=-86\\\Rightarrow \dfrac{b}{25} = -86 +83\\\Rightarrow \dfrac{b}{25} = -3\\\Rightarrow b = -75$

Part 6:

$\dfrac{d}{-2}+85=105\\\Rightarrow \dfrac{d}{-2} = 105-85\\\Rightarrow \dfrac{d}{-2} = 20\\\Rightarrow d=20 \times -2\\\Rightarrow d =-40$

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