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Alexxx [7]
2 years ago
12

I need help for upcoming test tomorrow, will give brainliest

Mathematics
1 answer:
Gwar [14]2 years ago
7 0

Answer:

\frac{5x+2}{(x-4)(x+7)}

Step-by-step explanation:

to obtain a common denominator

multiply the numerator/denominator of the first fraction by x + 7

multiply the numerator/denominator of the second fraction by x - 4

= \frac{2(x+7)}{(x-4)(x+7)} + \frac{3(x-4)}{(x-4)(x+7)}

simplify and add numerators leaving the common denominator

= \frac{2x+14+3x-12}{(x-4)(x+7)}

= \frac{5x+2}{(x-4)(x+7)}

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A town has a population of 6000 people in the year 2009 and is growing at a rate of 3% a year. Let t denote the time in years af
dusya [7]

Answer:

  • f(t) = 6000*1.03^t
  • k = 0.0295588

Step-by-step explanation:

The formula for exponential growth can be written a couple of different ways. One I prefer uses the problem numbers directly:

  population = (initial population) × (growth factor)^t

Here, the initial population is 6000, and the growth factor is 1+3% = 1.03. Then the function can be written as ...

  f(t) = 6000·1.03^t

__

Another way to write the function is using the form ...

  f(t) = (initial population) × e^(kt)

where k is the natural logarithm of the growth factor. In this form, we have ...

  k = ln(1.03)

  k ≈ 0.0295588

so the function would be written ...

  f(t) = 6000·e^(0.0295588t)

5 0
3 years ago
A rectagle has a height of 5x and a width of x+2<br><br>area=???​
astra-53 [7]

Answer: Area=5x^2+10x

Step-by-step explanation:

The area of a rectangle:

a=h×w

a=5x(x+2)

a=5x × x+5x × 2

a=5x^2+10x

-Result:

a=5x^2+10x

5 0
3 years ago
32 (7 − 2) ⋅ 4 − 6 over 3.
kramer
Remove the over and replace with division sign;
32(7-2).4-6/3

Proceed to simplify;
32(5).4-2
160*4-2
640-2
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4 0
3 years ago
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
icang [17]

Answer:

1/8

Step-by-step explanation:

6 0
4 years ago
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I need is the answer of please <br> thank you
Savatey [412]

Answer:

39.2m

Step-by-step explanation:

The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.

4 0
3 years ago
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