A company charges a flat rate of $25 for their product but they also charge an additional $3.50
per customization. If the Smith family paid $67
for their gift, how many customizations did they
get? Write and solve an algebraic equation to
find your answer.

12 customisations.

Step-by-step explanation:

P = 3.50C + 25     where P = total payment and C = the number of customisations.

So if they paid $67:

67 = 3.50C + 25

3.50C = 67 - 25 = 42

C = 42/3.50

C = 12.

b

step-by-step explanation:

b

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.