Answer: depth = 5 ft
width = 10 ft
length = 40 ft
Step-by-step explanation:
d = depth
width = d + 5
length = d + 36
Volume = length x width x depth = 2000 cf
d(d+35)(d+5) = 2000
d(
+ 40d + 175) = 2000
d^3 + 40d^2 + 175d = 2000
rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0
d^3 + 40(d^2) + 175d - 2000 = 0
Find the roots of the cubic polynomial:
factors of 2000 are 1, 5, 10 15, 20, etc.
Try the factor 5 first by plugging it in the equation:
5^3 + 40(5^2) + 175(5) - 2000 = 0
Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.
So, depth = 5 ft
width = 5 + 5 = 10 ft
length = 5 + 35 = 40 ft
You just need to list the equations of the two graphs.
y=x^2 + 2
y=x+4
Answer:
X<-8
Step-by-step explanation:
-1/2x>4
Multiple both sides by -2
-2(-1/2)x<-2(4)
Multiple even numbers of negative terms
2(1/2)x<-2(4)
Cancel out the 2
(2 this is out)(1/(2 this is out))x<-2(4)
x<-2×4
Multiple
x<-8
Answer:
D
Step-by-step explanation:
2 x 4 = 8
8 x 2 = 16
4 x 9 = 36
36 x 2 = 72
9 x 2 = 18
18 x 2 = 36
16 + 72 + 36 = 124
124 = D