Divide by 2 on each side: x+2y=10
If y is 0, x=10. If x=0, y=5.
x-intercept: (10, 0)
y-intercept: (0, 5)
Draw those two points, connect, and extend.
Answer:
for the first one: y=1x and second one: y=-2
Answer:
r=7
Step-by-step explanation:
-84+15r=3r
Subtract 15r from each side
-84+15r-15r=3r-15r
-84 = -12r
Divide each side by -12
-84/-12 = -12r/-12
7 = r
Answer:
In a right pentagonal prism, the bases are pentagons and the lateral faces are rectangles. If we take a cross-section perpendicular to the base, this same cross-section will be parallel to the lateral faces. This means it will be the same shape as the lateral faces, which is a rectangle.
Step-by-step explanation:
Answer:
24 trees per acre
Step-by-step explanation:
Let x be the optimal tree density per acre and y be the number of bushels yield per tree
Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction
Change of x from 28 is x - 28
Change of y from 40 is y - 40
Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96
The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have


To find the maximum value of this, we can take the first derivative and set it to 0



We know this is a maxima because
. So T is maximum when x = 24 trees per acre