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Paraphin [41]
3 years ago
14

F(x) = -x^2 + 8x Find f(-7)

Mathematics
1 answer:
Volgvan3 years ago
8 0

Answer:

-105

Step-by-step explanation:

hello there!

f(x)= -x^2+8x

f(-7)= -(-7)^2 + 8*(-7)

     = - 49 + (-56)

     = -105

hope it helps!

thank u!

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Write an equation of the hyperbola given that the center is at (2, -3), the vertices are at (2, 3) and (2, - 9), and the foci ar
zavuch27 [327]
Check the picture below.

so, the hyperbola looks like so, clearly a = 6 from the traverse axis, and the "c" distance from the center to a focus has to be from -3±c, as aforementioned above, the tell-tale is that part, therefore, we can see that c = 2√(10).

because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

\bf \textit{hyperbolas, vertical traverse axis }
\\\\
\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h,  k\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}\\
asymptotes\quad  y= k\pm \cfrac{a}{b}(x- h)
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
h=2\\
k=-3\\
a=6\\
c=2\sqrt{10}
\end{cases}\implies \cfrac{[y- (-3)]^2}{ 6^2}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
c^2=a^2+b^2\implies (2\sqrt{10})^2=6^2+b^2\implies 2^2(\sqrt{10})^2=36+b^2
\\\\\\
4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2
\\\\\\
\sqrt{4}=b\implies 2=b\\\\
-------------------------------\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

3 0
3 years ago
Translate these points
zmey [24]
3,-4 is the correct anwser
3 0
3 years ago
1+1 equals 2 plus 3 get brainlist if u answer first
dusya [7]
Cool thanks bro I appreciate it
7 0
3 years ago
Read 2 more answers
Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 126 times in 7 minutes. What is her
vlabodo [156]
18 blinks per min since 126 divided by 7 equals 18
3 0
3 years ago
Read 2 more answers
Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid
max2010maxim [7]

Frank will need 4 gallons of juice.

35*12=420 fluid ounces

420/32=13.125 quarts

13.125/4=3.28 gallons

He will have some juice cups left over.

5 0
3 years ago
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