A store is offering 20% off all shoes. Rosalie purchases shoes and clothes. The expression representing her total cost (including 7% tax) is
c+ (1 - 0.2)s + 0.07[c+ (1 - 0.2)s). Which term represents the cost of the
shoes after the discount?

(1 - 0.2)s.

Step-by-step explanation:

It is given that a store is offering 20% off all shoes. Rosalie purchases shoes and clothes.

The expression representing her total cost (including 7% tax) is

c + (1 - 0.2)s + 0.07[c+ (1 - 0.2)s].

Here,

c = Cost of clothes

s = Cost of shoes

(1 - 0.2)s = cost of the shoes after the 20% discount.

0.07[c+ (1 - 0.2)s] = Amount of tax on total purchase of shoes and clothes.

Therefore, (1 - 0.2)s term represents the cost of the  shoes after the discount.

except a rational number. : )

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.