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Gre4nikov [31]
3 years ago
11

What is the line of symmetry for the parabola whose equation is y = 3x2 + 24x - 1?

Mathematics
2 answers:
meriva3 years ago
8 0
Hello :
<span>y = 3x2 + 24x - 1
   = 3(x²+8x) -1
   = 3 (x² +2(4)(x) +4²- 4² ) -1
   = 3((x+4)² -16)-1
y = 3(x+4)² - 49
</span><span>the line of symmetry is : x= - 4</span>
KatRina [158]3 years ago
6 0

Answer:x=-4

Step-by-step explanation:

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Pls help it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira.What is his percentage profit.
telo118 [61]

Answer:

Percentage profit=40%

Step-by-step explanation:

Cost price=120 Naira

Sold price=168 Naira

Profit=Sold price- cost price

=168-120

=48 Naira

Percentage profit=profit/cost price×100

=48/120×100

=0.4×100

=40%

Percentage profit=40%

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3 years ago
There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
Helga [31]

\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill

A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

7 0
2 years ago
How do I find the slope from a table if the value added onto each (x,y) value is different? Please help!!! I need the slope!
Bess [88]
ANSWER:
________

Line q = 3
Line v = -1/2

FORMULA
__________

y2 - y1 / x2 - x1

EXPLANATION:
_____________

First, we need to find the slope for line a only

We need to select two points from line q. The ones I selected are (-3,18) and (2,33)

y2 = 33
y1 = 18

x2 = 2
x1 = -3

33 - 18 = 15
2 - -3 = 5

15/5 = 3

Next, we need to find the slope for line v.

The two points I picked are (0,8) and (10,3)

y2 = 8
y1 = 3

x2 = 0
x1 = 10

8 - 3 = 5
0 - 10 = -10

5/-10 = -1/2

And that’s how you get your answer :)

PUN OF THE DAY
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Why did Adele cross the road? To say hello from the other side.

I hoped this helped! And have a •AMAZING• day :3
5 0
3 years ago
Leanne multiplied 8 x 4.3 and got 32.24. Is Leanne correct?Use an area model to explain your answer
dlinn [17]

Answer:

No, not correct.  

Step-by-step explanation:

Note that 8 * 4.3 can be broken up as follows:

8 * (4 + 0.3)

and that 4*8 =32, and that 0.3(8) = 2.4 (not 0.24).

Then 8 * (4 + 0.3) becomes 32 + 2.4 = 34.4

3 0
3 years ago
oliver is training for a marathon. In practice, he runs 15 kilometers in 72 minutes. What is the speed in kilometers per hour?
34kurt
72/15=4.8
4.8 is the answer 
8 0
3 years ago
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