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Alexeev081 [22]
2 years ago
11

Subtract the rational expression and simplify x+2/2x-6 - x+3/5x-15

Mathematics
1 answer:
SashulF [63]2 years ago
7 0

Answer: -3x² - 2x -57

This is how this would look: \frac{x+2}{2x-6} - \frac{x+3}{5x-15}

First I brought the denominator to the top for both expressions.

so I was left with: 2x-6(x+2) - 5x-15(x+3)

I distributed, combined like terms, and simplified.

<em><u> -3x² - 2x -57</u></em> was my answer

Step-by-step explanation:

Trust Milky. Milky smart.

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If one of the 50 states is chosen at random, then a standard die is rolled, Find the probability of getting a state that starts
Black_prince [1.1K]

Answer:

The final answer is 2/15 or 0.133

Step-by-step explanation:

The US States that start with an "N" are:

  1. Nebraska
  2. Nevada
  3. New Hampshire
  4. New Jersey
  5. New Mexico
  6. New York
  7. North Carolina
  8. North Dakota

The probability of selecting a state that starts with an N is 8/50

The probability of rolling at least a two is 5/6.

If we multiply the two probabilities together, we get 2/15.

3 0
3 years ago
What is the greatest common factor of 42a^5b^3, 35a^3b^4, and 42ab^4? 7ab^3 6a^4b 42a^5b^4 77a^8b^7
Blababa [14]
42a^5b^3=7ab^3\cdot6a^4\\\\35a^3b^4=7ab^3\cdot5a^2b\\\\42ab^4=7ab^3\cdot6b\\\\\boxed{GCF(42a^5b^3,\ 35a^3b^4,\ 42ab^4)=7ab^3}
3 0
3 years ago
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xeze [42]

Answer:

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5 0
2 years ago
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Is -2.54 greater or less than -2 and 27/50
zloy xaker [14]
-2.54 is equal to -2 27/50
7 0
2 years ago
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A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
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