Answer:
x=-3
Step-by-step explanation:
so you tryna get x by itself, so you are gonna do the opposite. so move nine over by subtracting it.
-9=3x
now you have to divide -9 by 3 to move it over
-2=x
The answer is b. 200
<span>If y varies inversely as x, then: y = c/x
We know:
y = 40
x = 5
y = c/x
c = y * x
c = 40 * 5
c = 200</span>
Answer:
H = 11
Step-by-step explanation:
volume is 165
base is 15.
V = Bh
165 = 15 x ?
? = 11
check answer
15 x 11 = 165
Answer:
the function y=5x+5
plug in the hours 4.5 for x
y=5(4.5)+5
=27.5kilometers
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
