Wyatt should charge $9.26 before 8% sales tax if he does not want customers to pay more than $10.00
They will actually be charged $10 exactly.
9.26*.08= .74
.74+9.26= 10
The statement of the question tells us that 45% of the customers getting an oil change will have their car tires rotated. Therefore:
probability of both = 0.7 x 0.45
= 0.315
= 31.5%
(0,2)
(1,5)
(2,8)
(3,11)
(4,14)
The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
