Mathematics: This year a high school had 578 sophomores enrolled. this is 89 less than the number enrolled last year. write and solve an equation to find the number of sophomores enrolled last year.

This year a high school had 578 sophomores enrolled.

Ответ:

Darkknighta26

28.05.2020

Mathematics

667

Step-by-step explanation:

578 + 89 = 667

Hope this helps :)

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Ответ:

tsimonej12

05.10.2021

Mathematics

first off let's notice that hmmm the vertex is above the point (3,-3), so if we "assume" is a vertical parabola, then it'd be opening downwards.... anyhow that said, let's plug in those values.

$\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf vertex~~(\stackrel{h}{2}~~,~~\stackrel{k}{1})\qquad \implies \qquad y = a(x-2)^2+1 \\\\\\ \stackrel{\textit{we also know that }}{(3~~,~~-3)} \begin{cases} x = 3\\ y = -3 \end{cases}\qquad \implies -3=a(3-2)^2+1 \\\\\\ -3=a(1)^2+1\implies -3=a+1\implies -4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = -4(x-2)^2+1~\hfill$

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This year a high school had 578 sophomores enrolled. this is 89 less than the number enrolled last year. write and solve an equation to find the number of sophomores enrolled last year.

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