If $7=x^2+\frac{1}{x^2}$, then what is the greatest possible value of $x+\frac{1}{x}$?

3

Step-by-step explanation:

7 = x² + 1/(x²)

7 + 2 = x² + 2 + 1/(x²)

9 = (x + 1/x)²

±3 = x + 1/x

i hope this is what you were looking for.

see attached graph

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: