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Dima020 [189]
3 years ago
15

Jen received some birthday money she brought a new pair of shoes for $24.95 and socks for $4.50 she gave your brother $25 and sp

ent half of the remaining money and a book bag if jen has $42.86 left how much did she get for her birthday
Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:

$140.17

Step-by-step explanation:

24.95+4.5=29.45+25=54.45+(42.86×2)=140.17

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Find the values of b such that the function has the given maximum value.
gizmo_the_mogwai [7]
So, the equation has a leading term with a negative coefficient, and is a quadratic, meaning is a parabola opening downwards, so it goes up and up and up and then makes a U-turn then down down, so it has a maximum point, that is, at the vertex point

so.. where the dickens is the vertex at?
we're asked to make the vertex with a y-coordinate of 104, so the maximum value is 104

well
\bf y = {{ a}}x^2{{ +b}}x{{ +c}}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)\\\\
-----------------------------\\\\
\textit{so we want }\implies {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}=104
\\\\
\textit{let's take a peek at your equation}\quad 
\begin{array}{ccccllll}
f(x)=&-x^2&+bx&-17\\
f(x)=&-1x^2&+bx&-17\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\
thus
\\\\
(-17)=\cfrac{b^2}{4(-1)}=104

solve for "b"
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