An equation for this problem- the cable company charges a monthly fee of $45. each movie rental is $1.99. you owe $68.88/ how many movies did you rent?

12 movies

Step-by-step explanation:

If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable).  If you rent 0 movies, you still have to pay the company $45.  So the equation for the number of movies you rent:

y = 1.99x  + 45 where y is the total cost of your cable for that month.  We know the cost for a certain month was 68.88 so our equation becomes

68.88 = 1.99x = 45 and

23.88 = 1.99x so

x = 12 movies

17

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct