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Diano4ka-milaya [45]
3 years ago
6

The average grade of an English class rose fro 70 to 85, what is the approximate percent increase?

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

Answer:

Step-by-step explanation:

85 - 70 = 15

15/70 = 0.21428571428

Round to .21

Move decimal over twice to the right

21%

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3 0
3 years ago
What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
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So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

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so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
Leon has 16 fewer quarters than dimes. He has 34 quarters.
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Answer:

A grand total of 50 dimes

Step-by-step explanation:

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1. 8x – 4 = 12x + 12
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7(x-2) +3x=46
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X=6
3 0
3 years ago
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