<h3>
Answer: Vertex is (2,2)</h3>
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Explanation:
The equation
y = -3x^2 + 12x - 10
is in the form
y = ax^2 + bx + c
with a = -3, b = 12, c = -10
Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex
h = -b/(2a)
h = -12/(2*(-3))
h = -12/(-6)
h = 2
The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex
y = -3x^2 + 12x - 10
y = -3(2)^2 + 12(2) - 10
y = -3(4) + 12(2) - 10
y = -12 + 24 - 10
y = 12 - 10
y = 2
The y coordinate of the vertex is k = 2
The vertex is (h,k) = (2,2)
The number provided rounded to the nearest tenth is 13.2.
Because the number in the hundreds place is a 4, we round down and keep the tenth at 2.
We can write a system of equations.
x + y = 77
y = x + 5
Plug in x + 5 into the first equation:
x + y = 77
x + (x + 5) = 77
So this is our answer.
Write and solve an equation of ratios:
15 min 3 racks
---------- = -------------
x 36 racks
Solving this for x: 3x = (15)(36) => x = 180 minutes.
convert this into hours: 180 min 1 hr
------------ * -------------- = 3 hrs (answer)
1 60 min
I believe it would be the third one down
