<em>Answer:</em>
<em>x = 10</em>
<em>Step-by-step explanation:</em>
<em>Hi !</em>
<em>2(x - 3) = 14</em>
<em>2x - 6 = 14</em>
<em>2x = 14 + 6</em>
<em>2x = 20</em>
<em>x = 20 : 2</em>
<em>x = 10</em>
<em>Good luck !</em>
Answer:
30 trees/acre
Step-by-step explanation:
Let n = the number of trees added to 1 acre
Let Y(n) = the yield in bushels/acre
Yield in bushels/acre = [bushels/tree] x [trees/acre]
Y(n) = (40-n)*(20+n)
= 800 - 20n + 40n - n^2
= n^2 + 20n + 800 ---------------------(1)
The n-value of the vertex ( which is a peak ) is given by the formula:
n(max) = -b/2a
Putting values from equation (1) gives us
n(max) = 10
The grower started with 20 tree/acre and adds 10 more for max yield, so she should plant: 30 trees/acre
and
Maximum yield is 900 bushels/acre.
2(\frac{Area}{h} ) - b1 = b2
Step-by-step explanation:
The formula for calculating the area of a trapezoid is the following.
Area = \frac{b1+b2}{2} * h
What we are asked to find is the formula for finding b2. We can do this by rearranging the Area formula and getting b2 by itself on one side.
Area = \frac{b1+b2}{2} * h
\frac{Area}{h} = \frac{b1+b2}{2} .....divide h on both sides
2(\frac{Area}{h}) = b1+b2 .... multiply 2 on both sides
2(\frac{Area}{h} ) - b1 = b2 ....subtract b1 on both sides
Now we have b2 by itself on one side and the formula is rewritten to solve for b2.
