we can use synthetic division
and then we can find quotient
we can see in the image
we will get
so, we get
.............Answer
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
The rate of change is 3 because each game costs $3 and the y-value will go up by 3 when the x-value goes up by 1. Hope this helps!
3x + 6 = -1 - 3 + 4x
Combine like terms on the right side.
3x + 6 = -4 + 4x
Add 4 to both sides.
3x + 10 = 4x
Subtract 3x from both sides.
10 = x
The equation has one solution (10).
