The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.
Step-by-step explanation:
Given,
Per month charges of type 1 = $86
Per visit charge = $3
Let,
v be the number of visits.
T(v) = 3v+86
Per month charges of type 2 = $45
Per visit charge = $5
P(v) = 5v+45
For same amount to be charged;
T(v) = P(v)
The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.
Answer:
Step-by-step explanation:
We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:
We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.
The radius is half the diameter.
- r = d/2
- r= 10 ft/2
- r=5 ft
We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.
Solve the exponent.
Multiply the numbers in parentheses.
The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>
4 x^2 + 28 x + 49 = 0
Divide both sides by 4:
x^2 + 7 x + 49/4 = 0
Write the left hand side as a square:
(x + 7/2)^2 = 0
Take the square root of both sides:
x + 7/2 = 0
Subtract 7/2 from both sides:
Answer: x = -7/2