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3 years ago

Can someone please explain how to simplify expressions and rearrange the terms with an example?

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

Hey, I hope this helps UwU

Step-by-step explanation:

Example 1: Simplify: 5(7y+2) 5 ( 7 y + 2 ) . Solution: Multiply 5 times each term inside the parentheses. Example 2: Simplify: −3(2x2+5x+1) − 3 ( 2 x 2 + 5 x + 1 ) . Solution: Multiply −3 times each of the coefficients of the terms inside the parentheses. Each term in an algebraic expression is separated by a + sign or J sign. In , the terms are: 5x, 3y, and 8. When a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.

__________________

To simplify any algebraic expression, the following are the basic rules and steps:

Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

- from go0gle

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4 years ago

Suppose the population of a certain city is 5358 thousand. It is expected to decrease to 4565 thousand in 50 years. Find the per

notsponge [240]

Answer:

The population decreases at the rate of 0.32% a year.

Step-by-step explanation:

The population of this certain city can be modeled by this following differential equation.

$\frac{dP}{dt} = Pr$

where r is the growth rate(r>0 means that the population increases, r < 0 it decreases).

We can solve this by the variable separation method. We have that:

$\frac{dP}{P} = rdt$

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$ln{P} = rt + P(0)$

where P(0) is the initial population.

To find P in function of t, we apply the exponential to both sides.

$e^{ln{P}} = e^{rt + P(0)}$

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

The initial population of the city 5,358,000. So P(0) = 5,358,000.

It decreases to 4,565,000 in 50 years. So P(50) = 4,565,000.

Applying to the bold equation:

$5,358,000 = 4,565,000e^{50r}$

$e^{50r} = 1.174$

To find the growth rate, we apply ln to both sides.

$ln{e^{50r}} = ln{1.174}$

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The population decreases at the rate of 0.32% a year.

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3 years ago

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Answer: $443.32

Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

Replacing with the values given:

P = 3.14 (23/2) + 23 = 59.11 feet

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59.11 x 7.50 = $443.32

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Hello and welcome to another day of being a Brainly member. The answer you are looking for is 11,183,000. Hope this helps out. Have a good day

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