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3 years ago

Use the function f(x) = −16x2 + 60x + to Completely factor f(x). Pls include steps

Mathematics

1 answer:

Elodia [21]3 years ago

3 0

Answer: -4x(4x - 15)

Step-by-step explanation:

f(x) = $-16x^{2}$ + 60x

y = $-16x^{2}$ + 60x

=> - ( $16x^{2}$ - 60x)

=> -4x(4x - 15)

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natulia [17]

4 products are being purchased.

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3 years ago

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MrRa [10]

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3 years ago

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Look at the graph shown below:

ElenaW [278]

So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

once you get the slope and solve for "y", that'd be the equation of the line.

7 0

3 years ago

Use the function f(x) = −16x2 + 60x + to Completely factor f(x). Pls include steps ​

Use the function f(x) = −16x2 + 60x + to Completely factor f(x). Pls include steps