Which equation has no real solutions?

A. –2x^2 = –168

B. 4x^2 + 76 = 32

C. 25x^2 = 1

D. 43 − x^2 = 12

B has no real solutions.

Step-by-step explanation:

4x^2 + 76 +32 (Move the constant to the left)

4x^2 +76 - 32 = 0 (Subtract the numbers)

4x^2 + 44 = 0 (Calculate the discriminant)

D = 0^2 - 4 x 4 x 44 (Simplify the expression)

D = -704 (The quadratic equation has no real solutions)

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

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: