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Pavlova-9 [17]
2 years ago
9

HELP WITH MATH PLS!!!!!

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
3 0

The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)

<h3>What is the result of the subtraction between two algebraic rational functions?</h3>

In this question we have a subtraction between two <em>rational</em> functions, which have to be simplified by <em>algebra</em> properties. The complete procedure is presented below:

32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9)        Given

32 · x² / [(x + 3) · (x + 5)] - 14 · x² / [(x + 3) · (x - 3)]         Factorization

[x² / (x + 3)] · [32 / (x + 5) - 14 / (x - 3)]      Distributive and associative properties

[x² / (x + 3)] · [32 · (x - 3) - 14 · (x + 5)] / [(x + 5) · (x - 3)]      Subtraction of rational numbers with distinct denominators

[x² / (x + 3)] · [32 · x - 96 - 14 · x - 70] / [(x + 5) · (x - 3)]     Distributive property / (- 1) · a = - a

[x² / (x + 3)] · (18 · x - 166) / [(x + 5) · (x - 3)]      Distributive property / Definitions of addition and subtraction

[18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]         Mutiplication between rational numbers / Multiplication between powers / Distributive property

The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

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7 0
3 years ago
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Mazyrski [523]

Answer:

a. 14

b. 7

Step-by-step explanation:

a. First we must add all the animals together,

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Birds: 6

Fish: 5

Mammals: 11

Reptiles: 3

Therefore our equation is:

6 + 5 + 11 +3 = 25.

Now, we must subtract by the number of mammals:

25 - 11 = 14

So our answer for a. is 14!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

b. So for this problem we must compute mammals + fish and than birds + reptiles. After we figure that out we must subtract them!

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9

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3 0
3 years ago
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Answer:

See below ↓↓↓

Step-by-step explanation:

<u>Probability of getting heads</u>

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<u></u>

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