1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)

You might be interested in
8- (-7) = help ASAP
alukav5142 [94]

Answer: 15

Step-by-step explanation: have a great day!

6 0
3 years ago
Read 2 more answers
PLZ ANSWER QUICKLY AND THEN PLZ EXPLAIN HOW TO DO IT
Andrews [41]

Hello!

The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

First, let's find the y-intercept. This is where the line hits the y-axis. Therefore, it hits at 4 on the y-axis, so our y-intercept is 4.

To find the slope, let's find 2 points on our line. Let's use (0,4) and (2,5). We divide the difference in the y-values by the difference in the x-values as shown below.

\frac{5-1}{2-0} =\frac{4}{2} =2

Therefore, our slope is 2.

Now we plug these values into our equation.

y=2x+4

I hope this helps!

6 0
2 years ago
To date, Ty has cumulative earnings of $107,600. This week he is paid $3,000. What's the total amount of social security tax for
rjkz [21]
Ty's social security tax is
  6.2% * $3000 = $186.00

The best choice is ...
  A. $186.00
6 0
3 years ago
Read 2 more answers
1. Which point on the axis satisfies the inequality y
grigory [225]

Answer:

1) Point (1,0) -----> see the attached figure N 1

2) The value of x is 4

3) I quadrant

4) (1,1)

5)  y>-5x+3

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point (1,0) is included in the shaded area

Part 2)

we have

x-2y\geq 4

see the attached figure N 2

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line x-2y= 4

For y=0

Find the value of x

x-2(0)= 4  

x=4

The solution is x=4

Part 3)

we have

x\geq 0 -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

y\geq 0 -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

y\geq 4x-5

we know that

If a ordered pair is a solution  of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point (3,4)

Substitute the value of x and y in the inequality

x=3,y=4

4\geq 4(3)-5

4\geq 7 ------> is not true

therefore

the point (3,4) is not a solution of the inequality

<u>case B)</u> point (2,1)

Substitute the value of x and y in the inequality

x=2,y=1

1\geq 4(2)-5

1\geq 3 ------> is not true

therefore

the point  (2,1) is not a solution of the inequality

<u>case C)</u> point (3,0)

Substitute the value of x and y in the inequality

x=3,y=0

0\geq 4(3)-5

0\geq 7 ------> is not true

therefore

the point  (3,0) is not a solution of the inequality

<u>case D)</u> point (1,1)

Substitute the value of x and y in the inequality

x=1,y=1

1\geq 4(1)-5

1\geq -1 ------> is true

therefore

the point  (1,1) is  a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point (3,0)

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is y=-5x+3

The inequality is  y>-5x+3

3 0
3 years ago
Read 2 more answers
10(2.1q -2) + (7.5q+18)
aliina [53]

Answer:

Simplify the expression.

28.5q−2

Step-by-step explanation:

i think this what you would like

6 0
2 years ago
Other questions:
  • Isabelle has $84.00 in her account
    6·1 answer
  • Help me with this question
    11·1 answer
  • Which expression is 444 times as large as the expression 34 -15
    15·1 answer
  • You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take
    8·1 answer
  • Please help! what equation best models this data?
    10·1 answer
  • -5+7=7-5 is what property
    9·2 answers
  • The diagram shows squares 1, 2, and 3 constructed on the sides of a right triangle.
    7·1 answer
  • Which of the following exponential equations is equivalent to the logarithmic
    5·1 answer
  • 60 books represent 1% of total books of library 2
    11·1 answer
  • A passenger train traveled 120 miles in the same amount of time it took a freight train to travel 70 miles. The rate of the frei
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!