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NeX [460]
3 years ago
11

A utility company charges $0.12 per kilowatt-hour for energy a customer uses. They give a credit of $0.025 for every kilowatt-ho

ur of electricity a customer with a solar panel generates that they don't use themselves.
A customer has a charge of $82.04 and a credit of -$4.10 on this month's bill.

What is the amount due this month?
Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:$77.94

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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 &#10;\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)\\\\&#10;-----------------------------\\\\&#10;\textit{so we want }\implies {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}=104&#10;\\\\&#10;\textit{let's take a peek at your equation}\quad &#10;\begin{array}{ccccllll}&#10;f(x)=&-x^2&+bx&-17\\&#10;f(x)=&-1x^2&+bx&-17\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}&#10;\\\\&#10;thus&#10;\\\\&#10;(-17)=\cfrac{b^2}{4(-1)}=104

solve for "b"
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3 years ago
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