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schepotkina [342]
3 years ago
7

Find the distance between the points (8,9) and (1,4). round decimals to the nearest tenth.

Mathematics
1 answer:
Contact [7]3 years ago
6 0
The answer would be 8.6
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Find the average rate of change of the function from x=1 to x=2.<br><br><br><br> f(x)=−14/x^2
Irina-Kira [14]

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5                

Step-by-step explanation:

Given the function

f\left(x\right)=-\frac{14}{x^2}

at x₁ = 1,

f(x₁) = f(1) =  -14/(1)² = -14/1 = -14

at x₂ = 2,

f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                                        = [-3.5 - (-14)] / [2 - 1]

                                        = [-3.5 + 14] / [1]

                                        = 10.5 / 1

                                        = 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5                      

6 0
3 years ago
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