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umka2103 [35]
3 years ago
11

Find the vertex of the parabola whose equation is y = x 2 + 8x + 12. (-4, 12) (-4, -4) (0, -6)

Mathematics
1 answer:
dsp733 years ago
5 0

The answer should be (-4,-4)


Good luck<3

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Slope-rate of change- “if there were 12,000 in the Atlantic Ocean in 1950 and there are 3,600 dolphins today, what is the yearly
jasenka [17]

\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{dolphins}\\ \cline{1-2} &\\ 1950&12000\\ 2018&3600 \\&\\ \cline{1-2} \end{array}~\hspace{5em}(\stackrel{x_1}{1950}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2018}~,~\stackrel{y_2}{3600}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3600-12000}{2018-1950}\implies \cfrac{-8400}{68}~~\approx~~ \stackrel{\textit{rate of change}}{-123.53}


-8400/68 simplifies to to -2100/17,  dolphins/year, so 2100 less dolphins every 17 years.

and we can just divide those to get the decimal amount of -123.53, which means, 123.53  less dolphins every year.

of course, there's no such a thing as 0.53 of a dolphin, so, we can say "about" 123 less dolphins per year.

5 0
3 years ago
Can someone help me please
Anna007 [38]

Answer:

The Area of the shaded region :

(x²)(4x-1) - (5x)(x+7) =

4x³ - x² - 5x² - 35x =

4x³ - 6x² - 35x

6 0
2 years ago
What is the surface area?
loris [4]
I believe it is 1250
Explanation: Area of a triangle=1/2bh-1/2•20•30
Area of square=bh-25•25
Add your answers together then you get 1250
7 0
3 years ago
Please help me. i want to have this finished.
Anuta_ua [19.1K]
We know that y is equal to x-2. We can just substitute x-2 for y since y is equal to it. 

10x- 9(x-2)=24

Distribute.

10x- 9x+18= 24

x+18= 24

Subtract 18 on both sides.

x= 6

Now, plug in x.

y= (6)-2

y= 4

We can check this to see if this works:

4= 6-2, 4=4 

10(6)- 9(4)= 24

60-36= 24, 24=24

x=6 and y=4

I hope this helps!
<em>~kaikers</em>
5 0
3 years ago
1.<br> Use trigonometry to work out the value of x.<br> Not drawn accurately. <br> Help pls
tino4ka555 [31]

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

  • Use SOHCAHTOA
  • You want to find A and have an angle of 36° and H
  • So use CAH
  • cos(39) = x / 20
  • x = 20cos(39)
8 0
2 years ago
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