So this translates to:

5e + 5n = 25.95
2e + 6n = 22.38

One way to solve that is to multiply the top equation by 2, and the bottom equation by 5:

10e + 10n = 51.90
10e + 30n = 111.90

Then subtract the top from the bottom to get:

20n = 60

and divide by 20 to get

n = 3

So you know that note paper costs $3. Substituting that into the top equation you get:

5e + 5*3 = 25.95 or

5e + 15 = 25.95

Subtracting 15 from both sides you get:

5e = 10.95

Dividing by 5 you get:

e = $2.19

6 0

3 years ago

Find the vertex of the graph of the function. f(x) = 3x2 - 24x + 51

Ne4ueva [31]

$\bf \qquad \qquad \textit{vertex of a parabola}\\\quad \\\begin{array}{llccll}
f(x)=&3x^2&-24x&+51\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

4 0

3 years ago

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