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Murrr4er [49]
3 years ago
7

I need help with this, anyone nice enough to help? :’)

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

7m³ - 11m² + 5m + 17

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                  3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9
  2. Combine like terms (m³):                                                                                7m³ - 4m² + 8 - 7m² + 5m + 9
  3. Combine like terms (m²):                                                                                7m³ - 11m² + 8 + 5m + 9
  4. Combine like terms (Z):                                                                                   7m³ - 11m² + 5m + 17
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Colt1911 [192]

Answer:

(0,3)

y=3

x=0

Step-by-step explanation:

x+5y=15

-3x+2y=6

solve the equation

x=15-5y

-3x+2y=6

substitute the value of x into an equation

-3(15-5y)+2y=6

distribute

-45-15y+2y=6

add 15 to 2

-45-17y=6

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17y=51

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Need help on this problem
faust18 [17]

Using an exponential function, it is found that:

  • For Country A, the doubling time is of 43 years.
  • For Country B, the growth rate is of 1.9% per year.

<h3>What is the exponential function for population growth?</h3>

The exponential function for population growth is given as follows:

P(t) = P(0)e^{kt}

In which:

  • P(t) is the population after t years.
  • P(0) is the initial population.
  • k is the exponential growth rate, as a decimal.
  • t is the time in years.

For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{0.016t}

e^{0.016t} = 2

\ln{e^{0.016t}} = \ln{2}

0.016t = \ln{2}

t = \frac{\ln{2}}{0.016}

t = 43 years.

For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{36k}

e^{36k} = 2

\ln{e^{36k}} = \ln{2}

36k = \ln{2}

k = \frac{\ln{2}}{36}

k = 0.019.

For Country B, the growth rate is of 1.9% per year.

More can be learned about exponential functions at brainly.com/question/25537936

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