3 years ago

In a Punkin’ Chunkin’ contest, the height (in feet)

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

a. At t=0, the pumpkin is 25 feet above the ground (Plug 0 into the equation and solve)

b. If you plug the equation in a graphing calculator and find the rightmost zero, you get t = 10.15 seconds.

c. The vertex (maximum point) of the graph is (5, 425). Therefore, the pumpkin reaches its maximum height of 425 feet after 5 seconds in the air.

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Hey, guys help me answer!

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Hello and Good Morning/Afternoon

Let's take this problem step by step.

$5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6$

What did we do in this problem

we ensured that both sides remained equally balanced in value
took everything step-by-step to make sure that there were no mistakes
to check it, we can plug it back into the original equation to see if it works

$5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\$

Answer: x = 6

Hope that helps!

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