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3 years ago

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 .

2x (x-2). + 5.

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

2x^2-4x +5

(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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— 8х + 3y = 17 8x — 9y = — 19

bija089 [108]

Answer:

x= 83y−17 and y= 83x+17

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3 years ago

Write the equation, show all your work, and circle your answer. ** The

notsponge [240]

Answer:

The length of the triangle is 3x given

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9x=180 x= 20

3x =3*20=60

3x=3*20=60

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3 years ago

Which of these expressions is a monomial?

Margarita [4]

A monomial has one term. Therefore, A is the only one with one term.

7 0

3 years ago

Read 2 more answers

Sin (3x) dx = ? find the integral

AVprozaik [17]

Answer:

$\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C$

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int{sin(x)} \, dx = -cos(x) + C$

U-Substitution

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {sin(3x)} \, dx$

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite: $\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx$
[Integral] U-Substitution: $\displaystyle \frac{1}{3}\int {sin(u)} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{3}[-cos(u)] + C$
[Expression] Multiply: $\displaystyle \frac{-cos(u)}{3} + C$
[Expression] Back-Substitute: $\displaystyle \frac{-cos(3x)}{3} + C$

8 0

3 years ago

What number is 15.26 more than the difference of 346.18 and 215.37?

Galina-37 [17]

Answer:

146.07

Step-by-step explanation:

Let's take this question one step at a time. First, we'll find the difference of 346.18 and 215.37. This is equivalent to 130.81. Then, we have to find the number that's 15.26 more than 130.81, and this is equivalent to 146.07. So, our final answer is 146.07.

If you have any further questions, let me know!

6 0

2 years ago