Addison was given a gift card for a coffee shop. Each morning, Addison uses the card to buy one cup of coffee. Each cup of coffee costs $3 and after buying 4 cups of coffee, the card had a $3 remaining balance. Write an equation for A, A, in terms of x, x, representing the amount money remaining on the card after buying xx cups of coffee.

A=−3x+15

Step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.