If the height of an object at time t can be represented by
h(t) = -16t2 + 38t + 9, find h(7).
2 answers:
Answer:
-509
Step-by-step explanation:
h(t) = -16t² + 38t + 9
h(7) = - 16(49) + 38(7) + 9
h(7) = -784 + 266 + 9
h(7) = -509
Solution:
<u>It should be noted:</u>
Given equation: h(t) = -16t² + 38t + 9 <em>To find h(7), let's find "t" by comparing h(7) and h(t).</em>
<u>Compare h(7) and h(t):</u>
h(7) = h(t) => h(7)/h = h(t)/h => 7 = t <em>Now, find h(7) by substituting the value of t into the equation.</em>
<u>Substitute the value of t into the equation:</u>
h(t) = -16t² + 38t + 9 => h(t) = (-16)(t²) + (38)(t) + 9 => h(7) = (-16)(7²) + (38)(7) + 9 => h(7) = -784 + 266 + 9 => h(7) = -509 Thus, h(7) is <u>-509. </u>
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