Find the minimum value of the parabola y=x^2+x

Step-by-step explanation:

The vertex of the parabola represents the mimimum value. A no calculus method of finding is as follows: Consider y = x^2 + 3x + 1, where a = 1 and b= 3. the x- co-ordinate is equal to -b/2a which equals -3/2. to find the y co-ordinate: y = (-3/2)^2 -3(3/2) + 1. y = 9/4 -9/2 + 1. y = -5/4. The minimum value (-5/4) is found at (-3/2, -5/4)

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: