A golfer hits the golf ball. The quadratic function y = −16x^2 + 80x gives the time x seconds when the golf ball is at height 0
feet. How long does it take for the golf ball to return to the ground? HELP PLEASE!
1 answer:
You need to calculate the two zeros of the function. The first zero is the "start", the second zero is the "end" of the trajectory.
Well...
0 = x(-16x+80)
First zero is x=0 (the start of trajectory)
Second zero:
-16x+80=0.... x=5! (The end of the trajectory!)
Good luck!
M.
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Step-by-step explanation:
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![\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}](https://tex.z-dn.net/?f=%5Cbf%20~%5Chspace%7B10em%7D%5Ctextit%7Bfunction%20transformations%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%20f%28x%29%3D%20A%28%20Bx%2B%20C%29%5E2%2B%20D%20%5C%5C%5C%5C%20f%28x%29%3D%20A%5Csqrt%7B%20Bx%2B%20C%7D%2B%20D%20%5C%5C%5C%5C%20f%28x%29%3D%20A%28%5Cmathbb%7BR%7D%29%5E%7B%20Bx%2B%20C%7D%2B%20D%20%5Cend%7Barray%7D%5Cqquad%20%5Cqquad%20%5Cbegin%7Barray%7D%7Bllll%7D%20f%28x%29%3D%5Ccfrac%7B1%7D%7BA%28Bx%2BC%29%7D%2BD%20%5C%5C%5C%5C%5C%5C%20f%28x%29%3D%20A%20sin%5Cleft%28%20B%20x%2B%20C%20%5Cright%29%2B%20D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20stretches%20or%20shrinks%20horizontally%20by%20%7D%20A%5Ccdot%20B%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20flips%20it%20upside-down%20if%20%7D%20A%5Ctextit%7B%20is%20negative%7D)


now with that template in mind
![\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill](https://tex.z-dn.net/?f=%5Cbf%20h%28x%29%3D%5Cstackrel%7BA%7D%7B2%7D%7C%5Cstackrel%7BB%7D%7B1%7Dx%2B%5Cstackrel%7BC%7D%7B3%7D%7C%5Cstackrel%7BD%7D%7B-1%7D%5Cqquad%20%5Cqquad%20%5Cstackrel%7B%5Ctextit%7BC%3DC-2%20a%20translation%20to%20the%20right%7D%7D%7Bh%28x%29%3D2%7Cx%5Cboxed%7B%2B3-2%7D%7C-1%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20h%28x%29%3D2%7Cx%2B1%7C-1~%5Chfill)
Answer:

Answer: 24
Step-by-step explanation: Multiply 4 by 6 to get 24