Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?

Step-by-step explanation:

A. For Tavon's gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=145-3.5x1

for Tavon's second gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=125-3x2

B. equating 1 and 2 we have

145-3.5x=125-3x

solve for x we have

145-125=-3x+3.5x

20=0.5x

divide both sides by x we have

x=20/0.5

x= 40

put x=40 in

y=145-3.5*401

y=145-140

y=$5

put x=40 in

y=125-3*401

y=125-120

y=$5

step-by-step explanation: yes

(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