Solve the problem. Show how you used a real number line to solve the polynomial inequality. An arrow is fired straight up from the ground with an initial velocity of 240 feet per second. Its height, s(t), in feet at any time t is given by the function s(t) = -16t2 + 240t. Find the interval of time for which the height of the arrow is greater than 116 feet.

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answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: