The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.

Complete question :

The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.

f(x)=25x+50

What does the number 25 represent?

A. the initial registration fee

B. the number of months that a person is a member

C. the monthly membership fee

D. the total amount that a member pays in fees

C. the monthly membership fee

Step-by-step explanation:

Given the function :

f(x)=25x+50

The function f(x) can be written thus :

Cost = (monthly membership fee * Number of months) + initial registration fee

Comparing the function with the linear equation model:

y = mx + c

50 corresponds to c (intercept) which is the initial registration fee being charged.

m = slope = monthly fee paid

Hence, 25 represents the monthly fee paid

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

the anwser is d) 75°

step-by-step explanation: