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2 years ago

What is the vertex of the parabola? f(x) = 2x² + 16x + 30

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

Answer:

y=2(x−4)²+3

Step-by-step explanation:

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

2 years ago

I WILL GIVE A CROWN JUST NEED HELP ASAP

pav-90 [236]

Answer:

$720

Step-by-step explanation:

First tutor = 30 x 10 = $300

Second tutor = 30 x 14 = $420

Total = 420 + 300 = $720

3 0

2 years ago

Can you guys sxxxub to my channel XxDuckyxX it has 225 suxvxvxvbs and I do giveaways

natulia [17]

Sure! quick question. What type of videos do you make? Like the genre.

8 0

2 years ago

I will be back to help everyone bye,vale,adios i forgot how to say it in french

kupik [55]

Answer:

Huh I am confused

Step-by-step explanation:

Do you need help with anything

4 0

2 years ago

Read 2 more answers

Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 lit

Lyrx [107]

Answer:

12.5 litres of Blue paint

Step-by-step explanation:

2+7+1=10

therefore;

10=64

2=??

cross-multiply

(2×64)÷10

answer= 12.4 liters or 12.5

6 0

2 years ago