2 years ago

What is f(x) = 8x² + 4x written in vertex form?

1 answer:

8 0

$8x^{2}+4x\\\\=8\left(x^{2}+\frac{1}{2}x \right)\\\\=8\left(x+\frac{1}{4} \right)^{2}-8\left(\frac{1}{16} \right)\\\\\boxed{f(x)=8\left(x+\frac{1}{4} \right)^{2}-\frac{1}{2}}$

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alexgriva [62]

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Step-by-step explanation:

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3 years ago

Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr to mow lawns and $10/hr to walk dog

LiRa [457]

$\\
\text{Ezra works two summer jobs to save for a laptop that costs at least }\$1100\\
\\
\text{also given that he charges 15 dollars per hour to mow lawns and }\\
\text{10 dollars per hour to walk dogs.}\\
\\
\text{so if he mow lawns for x hours and walk the dogs for y hours in summer,}\\
\text{then the inequality that modeles this data is}\\
\\
15x+10 y \geq 1100$

$\text{now suppose Ezra decides to also spend more than }\$80 \text{ on a printer,}\\
\text{so the total expences he want for laptop and printer is}=1100+80=1180\\
\\
\text{so now the inequality becomes: }$