Answer:
x ≈ 1.8 cm gives the greatest volume
Step-by-step explanation:
After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...
V = x(12 -2x)(10 -2x)
The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.
Answer:
B= 9/2 Hope this helped <3
Step-by-step explanation:
Let's solve your equation step-by-step.
4(b−3)=6
Step 1: Simplify both sides of the equation.
4(b−3)=6
(4)(b)+(4)(−3)=6(Distribute)
4b+−12=6
4b−12=6
Step 2: Add 12 to both sides.
4b−12+12=6+12
4b=18
Step 3: Divide both sides by 4
Answer:
y = -75x + 640
Step-by-step explanation:
y = 640 - 75x ....................where y is how much money she has left and x the number of weeks
The perimeter because the fence goes AROUND the yard, not in it.
P = 2w + 2l
P = 2(60) + 2(20)
P = 120 + 40
P = 160
Charlene needs 160 meters of fencing material.