Find the value of c that makes x2 + 6x + c a perfect square. Then write the trinomial as a perfect square.

Hi there!

To find the value of c, we can say:

ax² + bx + c

(b/2)² = c

Therefore:

(6/2)² = 3² = 9

Rewrite the trinomial:

x² + 6x + 9

To write as a binomial, take the square root of c:

√9 = 3

Thus:

(x + 3)² = x² + 6x + 9

24

step-by-step explanation:

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: