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Svet_ta [14]
2 years ago
8

Whats the answer? Please help

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

Answer:

Answer: y=3/2x+1

To find a line that is perpendicular, invert the slope and multiply by -1

so the original slope is -2/3,

invert it to get -3/2 then multiply by -1 to get 3/2

Put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)

Rewrite in standard form to get y=3/2x+1

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Answer:

An exponential function

Step-by-step explanation:

So let's suppose that at 9:00 am there were 132 cars. We'll call this P_0

P_{0}=132

On the next half an hour, let's say at 9:30, the number of cars trippled, this is:

P_{1}=132*3=396

the next half an hour, at 10:00 am, the number of cars trippled, this is:

P_{2}=132*3*3=1188

and finaly, at 10:30am, the number of cars trippled again, so:

P_{3}=132*3*3*3=3564

We can now see a pattern there which can be simplified as:

P(n)=P_{0}(3)^{n}

or

P(n)=132(3)^{n}

where:

P_{0}=initial number of cars

n=number of half hours after 9:00 a.m

P_{n}= number of cars after n number of half hours.

That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.

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