The total cost for video rental, f(n), is the sum of the membership fee and the cost of renting video game. The latter is the product of cost per video game times n video games. The correct equation used to represent the total cost is,
f(n) = 20 + 2n
Since the membership is increased by 15, the new equation is,
f(n) = 35 + 2n
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation
are given by

where 






That is, the factors of the polynomial
are
and
.
So, Area of the square design =
= 
Area of a square = Length^2
Thus, the length of the sign is
inches
Step-by-step explanation:

Answer:
k = -6/35
Step-by-step explanation:
To make the function continuous
kx^2 = x+k
These must be equal where the function is defined for two different intervals
This is at the point x=-6 so let x=-6
k(-6)^2 = -6+k
36k = -6+k
Subtract k from each side
36k-k = -6+k-k
35k = -6
Divide by 35
35k/35 = -6/35
k = -6/35
Answer:
the answer is 9
Step-by-step explanation: