Solve 9x−y=45 for y.

1 answer:

Taya2010 [7]3 years ago

4 0

So to solve for y, we need to get y alone on one side of the equation. So we are going to subtract 9x from both sides of the equation to get:

$-y=-9x+45$

And since y is negative, we are going to divide both sides by -1 in order to make the y positive:

$y=9x-45$

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Simply 4 square root of 45

maksim [4K]

Answer : 12 square root 5

4 square root 45
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4 time 3 square root 5
12 square root 5

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3 years ago

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s344n2d4d5 [400]

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3 years ago

Use the graph of f(x) below to estimate the value of f '(3):

klio [65]

Well, looking at the graph, notice, its vertex is at 0,9, and it passes through the points -3,0 and 3,0, so hmm let's use 3,0, to get the equation of f(x)

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------$

$\bf vertex~(0,9)~
\begin{cases}
h=0\\
k=9
\end{cases}\implies y=a(x-0)^2+9
\\\\\\
\textit{we also know that }
\begin{cases}
x=3\\
y=0
\end{cases}\implies 0=a(3-0)^2+9
\\\\\\
-9=9a\implies \cfrac{-9}{9}=a\implies -1=a\quad thus\quad \boxed{y=-x^2+9}
\\\\\\
\left. \cfrac{dy}{dx}=-2x \right|_{x=3}\implies -6$

3 0

3 years ago

Read 2 more answers

Will give brainliest if I can.

bearhunter [10]

Answer:

x=5

y=-5

Step-by-step explanation:

6 0

2 years ago

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