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- HelloKitty17

MEDAL FOR RIGHT ANSWER HERE!!!!!!!!!!!!!!!!
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
What do the x-intercepts of the graph represent?
There were 20 larvae at 0 degrees Celsius.
There were 10 larvae at 0 degrees Celsius.
The water has no larvae at -10 degrees Celsius and 20 degrees Celsius.
The water has maximum larvae at -10 degrees Celsius and 20 degrees Celsius.

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- mathmath333

\(\large \color{black}{\begin{align}
y=-2x^{2}+20x+400\hspace{.33em}\\~\\
\end{align}}\)

- HelloKitty17

what does that mean

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- mathmath333

for \(x\)-intercepts set \(y=0\) and solve
\(\large \color{black}{\begin{align}
0=-2x^{2}+20x+400\hspace{.33em}\\~\\
\end{align}}\)

- OregonDuck

and the answer is?

- mathmath333

do u know how to solve this
\(\large \color{black}{\begin{align}
0=-2x^{2}+20x+400\hspace{.33em}\\~\\
\end{align}}\)

- OregonDuck

no

- OregonDuck

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
..........y = -2x² + 20x + 400
What do the x-intercepts of the graph represent?
..........C) The water has no larvae at -10 degrees Celsius
................and 20 degrees Celsius.

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