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OLga [1]
2 years ago
5

Please answer 10 point + brainlyest = 1 big thank u

Mathematics
1 answer:
solmaris [256]2 years ago
8 0

<em><u>Step-by-step explanation:</u></em>

FIRST, we want to understand every property:

Associative Property: The associative property states that you can add or multiply regardless of how the numbers are grouped so (5 + 4) + 3 = 5 + (4 + 3)

Commutative Property: Commutative is the one that refers to moving stuff around so 3 + 2 = 2 + 3

Additive Inverse Property: This is the number that when added to the original number, equals 0 or it's the opposite of the number so 5 <- is the original number and -5 <- is the additive inverse.

Simplify: Is just to add like terms, and make the equation the simplest.

1. ORIGINAL EXPRESSION

2. Additive Inverse Property

3. Commutative property

4. Associative Property

5. Simplify

6. Simplify

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Answer:

The sum is x^2 + x, the product is x^3.

Step-by-step explanation:

Adding x^2 and x leaves no like terms, so no simplification is required.

Multiplying gives x^2*x, which is x*x*x, which is then x^3

3 0
3 years ago
Write down two factors of 18
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7 0
2 years ago
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Which one doesn’t belong?identify the phrase that cannot be described by the same absolute value as the other three?
lys-0071 [83]

Answer:

8 miles above sea level.

Step-by-step explanation:

A loss of 8 pounds

= -8 pounds

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4 0
3 years ago
5. Abbey Road Motors pays a percent commission to its sales people. They are paid
ira [324]

Answer:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p = \frac{20}{100}*p = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

  commission rate is 20% of the first $1,000 and 24% of the remainder

  of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

  the reminder

∵ 20% of 1000 = \frac{20}{100}*1000 = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit = \frac{24}{100}*(p-1000)

  = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

   of profit,  24% of the next $1,000 of profit, and 29% of the amount

   of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

  next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 = \frac{20}{100}*1000 = 200

∵ 24% of 1000 = \frac{24}{100}*1000 = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   \frac{29}{100}*(p-2000) = 0.29(p - 2000)

   = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

            0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

            0.29 p - 140 ⇒ p > 2000}

6 0
2 years ago
Which of the following is the best approximation of the diameter of a circular box top whose circumference is 28.27 inches?
wlad13 [49]
C=πd  ⇒  d = C/π = 28.27/3.14 ≈ 9 <span>inches</span>
5 0
3 years ago
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