Can you simplify 7/63. ( If you can show your work)
2 answers:
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General Idea:
If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .
Applying the concept:
The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as .
Comparing the function f(x)=ax^{2} +bx+c with the given function , we get
,
and
.
The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds
The maximum height is found by substituting in the function as below:
Conclusion:
<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.
<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2><h3>1.) 3x + 2 = 15</h3>
➪ 3x = 15 - 2
➪ 3x = 13
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<h3>2.) 5x - 8 = 52</h3>➪ 5x = 52 + 8
➪ 5x = 60
➪ x =
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<h3>3.) 2(x+1) = 14</h3>➪ 2x + 2 = 14
➪ 2x = 14 - 2
➪ 2x = 12
➪ x =
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<h3>4.) 1/4 x + 6 = 12</h3>➪
➪
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<h3>5.) 1/5 + 2y = 2/5</h3>➪
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