The sum of a number and its opposite equals zero
1 answer:
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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
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
Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre
= 150
- The initial number of trees per acre
= 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)
(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre =
= 200
the yield will decrease by : -
⇒total yield =
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield =
this is a quadratic equation. this can be rewritten as ,
⇒
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>