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Elis [28]
3 years ago
12

Simplify the following rational expression

Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Step-by-step explanation:

as the denominator (x+3) is in both you need only one denominator to be multiplied in first rational number .

<u>2</u><u>x</u><u> </u><u>(</u><u>x-2</u><u>)</u><u>. </u><u> </u><u> </u>+ <u>5</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u>

(x+3) (x-2). (x+3) (x-2)

<u>2</u><u>x</u><u>^</u><u>2</u><u>-</u><u>4</u><u>x</u><u> </u><u>+</u><u>5</u><u> </u>

<u>(</u>x+3) (x-2)

it's cannot be solved after that.

mariarad [96]3 years ago
7 0

Answer: The simplified expression is

(2x² + x + 15)/(x + 3)(x - 2)

Step-by-step explanation:

The given expression is

2x/(x+ 3) + 5/(x + 3)(x - 2)

Looking at the denominator, the Lowest common factor is (x + 3)(x - 2). Multiplying through by (x + 3)(x - 2), it becomes

[2x(x - 2) + 5(x + 3)]/(x + 3)(x - 2)

We would simplify by applying the distributive property. Each term inside the bracket is multiplied by each term outside the bracket. It becomes

[2x² - 4x + 5x + 15)]/(x + 3)(x - 2)

= (2x² + x + 15)/(x + 3)(x - 2)

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3) 8p + 7q = 43<br>2 -7=-q<br>how can I solve this with substitution?​
Bess [88]

Answer:

p=1, q=5. (1, 5).

Step-by-step explanation:

8p+7q=43

2-7=-q

------------------

-q=-5

q=5

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8p+7(5)=43

8p+35=43

8p=43-35

8p=8

p=8/8=1

6 0
3 years ago
Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many pos
kenny6666 [7]

Answer:

Elimination (multiplication and subtraction)

There is 1 solution

Step-by-step explanation:

The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.

Your equations now are:

10x-5y=55 and 10x+6y=-22

You can subtract these equations to get -11y = 77.

Now that we know that y = -7, we can substitute y in to solve x.

10x-5(-7) = 55

10x=20

x=2

Final answer (2,-7)

3 0
3 years ago
How do you graph y = x + 2
Ghella [55]

Answer:

Basically you first start with having a graph with positive and negative numbers on four sides. Then, you start with 2. You have to graph 2 on the  positive y section.

x = 1/1 so you go 1 up which means put another dot at 3 on the y section, then go 1 on the right. And thats it.

Please brainliest

Step-by-step explanation:

7 0
3 years ago
Y = 4x – 18<br> y = -5x +9
adelina 88 [10]

Answer:

(3, -6)

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x - 18

y = -5x + 9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                           4x - 18 = -5x + 9
  2. [Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9
  3. [Addition Property of Equality] Add 18 on both sides:                                   9x = 27
  4. [Division Property of Equality] Divide 9 on both sides:                                  x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = 4(3) - 18
  2. Multiply:                                                                                                             y = 12 - 18
  3. Subtract:                                                                                                            y = -6
5 0
3 years ago
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seraphim [82]

Answer:

653

Step-by-step explanation:

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