First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
Answer:
1. 550 miles
2. $103
Step-by-step explanation:
y = total rental cost
m = initial fee
x = cost per mile
n = number of miles
Plan 1: y = m + xn = 59 + 0.08n
Plan 2: y = m +xn = 48 + 0.10n
Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550
Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103
Answer:
A.
Step-by-step explanation:
As shown in the question we can interpret the following:
Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.
<span>The inverse function is found by replacing the independent variable with the dependent variable and vice versa like so</span>
(1,1) is the answer
Hope this helps!!