Which factorization is equivalent to this expression? −32xy + 20y − 14 A) 2(16xy + 10y + 7) B) −2(−16xy + 10y + 7) C) 2(16xy − 10y − 7) D) −2(16xy − 10y + 7)

Step-by-step explanation:

We analyze the options to compare which factorization gives us the result we are looking for:

we develop the expression:

some signs are wrong, so A) is not the right choice.

we develop the expression:

again, some signs are wrong, so B) is not the right choice.

we develop the expression:

like in the other options, some signs are wrong, so C) is not the correct answer

we develop the expression:

this option gives us the right expression. Thus, the factorization equivalent to is:

a negative exponent is translated as follows:

so, we have

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: