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2 years ago

A parabola y=1/2x^2-4x+21 can you help me find the vertex form of this parabola please and thank you :)

1 answer:

3 0

Ok
First factor out the first 2 terms as follows:-

y = 1/2(x^2 - 8x) + 21

Now complete the square on x^2 - 8x:-

y = 1/2[ (x - 4)^2 - 16] + 21

y = 1/2(x - 4)^2 - 8 + 21

y = 1/2(x - 4)^2 + 13 Answer

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1.7484450 is the answer

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2 years ago

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The population of a town was 25,000 people. then, 3,200 people moved away.. what was the percent decrease?

bogdanovich [222]

It Is B.21.8%, Simple way to figure this out is round B to 20%, If 3200 equals 20% and 20% times 5 equals 100% all you do is multiply 3200 by 5.

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In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the

natka813 [3]

Answer:

$P(t) = 5100e^{0.0039t}$

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that $P(0) = 5100$

$P(t) = 5100e^{rt}$

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that $P(5) = 5200$ .

We use this to find r.

$P(t) = 5100e^{rt}$

$5200 = 5100e^{5r}$

$e^{5r} = \frac{52}{51}$

$\ln{e^{5r}} = \ln{\frac{52}{51}}$

$5r = \ln{\frac{52}{51}}$

$r = \frac{\ln{\frac{52}{51}}}{5}$

$r = 0.0039$

So the equation for the moose population is:

$P(t) = 5100e^{0.0039t}$

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2 years ago

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3 years ago

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ss7ja [257]

Answer:

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Step-by-step explanation:

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=8000.00

amount of apples bought = 40000.00/8000.00

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He got 5kg of apples with Rp.40,000.00

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2 years ago