So she earned 84 total dollars
she earned 14 dollars mowing lawns
she earned (total-mowing lawns=babysitting) 84-14=70 dollar babysitting
7 dollars per hour so
70/7=10 so
h=10
6x^2 + 4(x^2 - 1) =
6x^2 + 4x^2 - 4 =
10x^2 - 4 <===
Answer: maximum height of the football = 176 feet
Step-by-step explanation:
We want to determine the maximum height of the football from the ground. From the function given,
h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t
t = -b/2a
b = 96 and a= -16
t = -b/2a = -96/2×-16= 3
Substituting t = 3 into the function if h
h(t) = -16×3^2+96×3 +32
=-16×9 + 96×3 +32
= -144+ 288+32
=176 feet
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
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