Express the following in standard form

Mathematics

1 answer:

sleet_krkn [62]3 years ago

8 0

Answer:

1. 24200

2. 0.0156

3. 0.00009092

Step-by-step explanation:

positive you move the decimal back wards and add the amount of zeros needed.

negative you move the decimal forwards and add zeros.

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Read 2 more answers

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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3 years ago

Express the following in standard form​

Express the following in standard form