At x=0 y=6 the y intercept. The rate is -0.25 so the equation is y=6-0.25x. The ordered pair is (x,6-0.25x).
Answer:
(8,-3)
Step-by-step explanation:
The given parabola is

We factor -3 from the first two terms to get:

Add and subtract the square of half the coefficient of x


We simplify to get:

We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)
Answer:
She spent 5 hours mowing lawns.
Step-by-step explanation:
To solve, we will just use some algebra
8h + 20 = 60 | Subtract 20 from both sides
8h = 40 | Divide both sides by 8
h = 5
We can confirm this by plugging it back into the original formula.
8(5) + 20 = 60
40 + 20 = 60
60 = 60
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for <em>x</em>
<u>Subtract 3x on both sides:</u> 2x - 11 = 5
<u>Add 11 to both sides:</u> 2x = 16
<u>Divide both sides by 2:</u> x = 8
Step 3: Check
<em>Plug in x to verify it is a solution.</em>
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29