3 years ago

2x – 3y =-11 3x +2y =29

Mathematics

1 answer:

Mariulka [41]3 years ago

6 0

Answer:

(5,7)

did you need and explanation?

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What is the standard form for the quadratic function?<br> g(x) = (x + 1)^2– 2

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Answer: $g(x)=x^2+x-1$

Step-by-step explanation:

$(x+1)^2-2$

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3 years ago

The population of a particular type of bacteria is known to triple in 22 days. What is the daily growth rate

Paul [167]

Answer: ∛(3)

Step-by-step explanation:

Suppose that at day 0 the population was A.

at day 3, the population will be: 3*A

at day 6, the population will be 3*(3*A) = A*3^2

then, at day N = 3*n (where n = 0, 1, 2.....) the population will be:

P(N) = A*3^n

Particularly, if we take n = 1/3 we will have:

N = 3*1/3 = 1

This means that this is the first day after the day 0.

P(1) = A*3^(1/3)

(then in day one, the population grow by a factor of 3^(1/3))

N = 2 is when n = 2/3, then:

P(2) = A*3^(2/3)

The quotient between P(2) and P(1) is equal to the growth between day one and day two, this should be the same as the growth between day zero and day one.

A*3^(2/3)/(A*3^(1/3)) = 3^( 2/3 - 1/3) = 3^(1/3)

So we found that the daily growth rate is 3^(1/3) or ∛(3)

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3 years ago

The population of the town increased from 175000 to 262500 in a decade. What is the average percent increase of population per y

Alenkinab [10]

Answer:

Step-by-step explanation:

As given,

The population of the town increased from 175000 to 262500 in a decade.

⇒ In 10 years , population increased from 175000 to 262500

⇒% increase = $\frac{262500 - 175000}{175000}$ × 100% = $\frac{87500}{175000}$ ×100% = 0.5×100% = 50%

Now,

Average % increase = $\frac{percent increase}{Total years}$ = $\frac{50}{10}$ % = 5%

∴ we get

Average percent increase of population per year = 5%

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3 years ago