rational expression,, please explain!
I understand mostly, but the subtraction sign throws me off... ​

Rational Expression,, Please Explain! I Understand Mostly, But The Subtraction Sign Throws Me Off...

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.

First, factor the denominator on the left side of the equation:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3} - \frac{1}{x-2}[/tex]

Then, create a common denominator on the right:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3}(\frac{x-2}{x-2}) - \frac{1}{x-2}(\frac{x+3}{x+3})[/tex]

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)}[/tex]

Put everything on one side:

[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]

[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]

set each term equal to zero:

x - 10 = 0

x = 10

x + 3 = 0

x = -3

x - 2 = 0

x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.


Related Questions

Subtract 4 from 8. Then, multiply by z.

Answers

Answer:

Kinda vague but here...

Step-by-step explanation:

z*(8-4)
z*(4)
4z

3(x-6)-8x=-2 + 5(2x+1)

Answers

Answer:

x = -1

Step-by-step explanation:

3(x - 6) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 10x + 3

-15x = 15

x = -1

Answer:

[tex]x=-\cfrac{7}{5}[/tex]

Or

[tex]x=-1.4[/tex]

Step-by-step explanation:

[tex]3(x-6)-8x=-2 + 5(2x+1)[/tex]

[tex]3(x-6)-8x \:\bold{Expand}[/tex]

[tex]-2+5\left(2x+1\right)\:\bold{Expand}[/tex]

[tex]-5x-18=10x+3[/tex]

[tex]-5x-18+18=10x+3+18\:\bold{Add\:18\:to\:both\:sides}[/tex]

[tex]-5x=10x+21[/tex]

[tex]-5x-18+18=10x+3+18\:\bold{Subtract\:10x \:from\:both\:sides}[/tex]

[tex]-15x=21[/tex]

[tex]\cfrac{-15x}{-15}=\cfrac{21}{-15}\:\bold{Divide \: both\: sides\: by\: 15}[/tex]

[tex]x=-\cfrac{7}{5}[/tex]

~

Rename 2/3 and 3/4 using the least common denominator.

Answers

Answer:

17/12

Step-by-step explanation:

because it 12 the most minimum amounted common multiple of 3 and 4


Answers : 8/12 and 9/12

2/3 3/4
Looking at the denominators their least common multiple is 12
Hence the two denominators should be 12

2/3 = 2/3 x 4/4 = 8/12

3/4 = 3/4 x 3/3 = 9/12

help me pls die tonight

Answers

Answer:

look at steps

Step-by-step explanation:

On the line that is your y-axis, go to -4 and place a dot

then from there, go down 1 space and to the right 2 spaces and place a dot.

then from there, you can repeat the second step until you make a line. (you can just use the 2 points)

Answer:

why

Step-by-step explanation:

analyze your whole life and ask why

Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned, how many cookies were made

Answers

Answer:

80 cookies

Step-by-step explanation:

25% of 64 is 16
16+64=80

Imani made total of 8 cookies.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Imani was assigned to make 64 cookies for the bake sale.

let she made x cookies.

So, x = 64 + 25% of 64

x = 64 + 25/100 (64)

x = 64 + 64/4

x = 64 + 16

x = 80

Hence, the total cookies made is 80.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

I need help asap. This due tn!

Answers

Answer:

Anything before 0 is negative. In this case we’re trying to “plot” - 1 2/3. It has to be between -2 and 0 on this plot.

Now lets imagine we have a center line between -2 and 0.
You’d get
-2, -1, 0

Now using that benchmark/ estimate, go towards the LEFT between -1 and -2. Now when reached about half way, go forward for a bit more and you should receive it.

Thats it!

1. What number added to 2.1835 gives 3?
2.The sum of 3.9 and 6.93 subtracted from 38.35 gives what number?
3.What should be added to 4.1648 to get 8?
4.By how much is the difference between 604 and 406.064 less than their sum?
5.By how much should 18.35 be decreased to get 6.4987?

Answers

Answer:

1. 0.8165 ; 2. 27.52 ; 3 = 3.8352 ; 4. 812.128 ; 5. 11.8513

Step-by-step explanation:

1. 3 - 2.1835 = 0.8165

2. 38.35 - (3.9 + 6.93) = 27.52

3. 8 - 4.1648 = 3.8352

4. 604 + 406.064 = 1010.064

604 - 406.064 = 197.936

1010.064 - 197.936 = 812.128

5. 18.35 - 6.4987 = 11.8513

Part 1: Rewrite the mathematical expressions. a) 4³=​

Answers

Answer:

64

Step-by-step explanation:

Round 34,528 to the nearest hundred. Write the comma (",") in your final answer.

Answers

Answer:

34,500

Step-by-step explanation:

34,528 rounds down rather than up because 528 is closer to 500 than 600 so it will round down to 34,500

Answer:

34,500

Step-by-step explanation:

34,528 = 34,500 because when you round the 5 in the hundred place the 2 isn't high enough to make the 5 round up so its 34,500.

5-10 round up 1-4 round down.

Point, Inc. produces men’s shirts. The following budgeted and actual amounts are for 2022: Cost Budget at 2,500 units Actual Amounts at 2,800 units Direct materials $65,000 $75,000 Direct labor 70,000 78,000 Fixed overhead 35,000 34,500 Instructions Prepare a performance report for Point, Inc. for the year explaining budget, actual and variances. State whether each variance is favourable or unfavourable.

Answers

               Budget      Actual  Difference
DM          72,800      75000  2200 U

DL           78400        78000    400 F

FO           35000       34500     500 F

Slope=2; (14,33)
What is the equation

Answers

= 28.66


Creo que es así, espero y te ayude

Which of the following figures is a pair of lines that are perpendicular? ​

Answers

Answer:

D is the correct answer.

Step-by-step explanation:

The lines are perpendicular as they go thiugh eachother at the center.

Answer:

4.) D

Step-by-step explanation:

A ( I'm not sure how to explain A )

B is an acute angle

C is a parallel line

D is a perpendicular line

I hope this helps!

The greatest distance across the continental United States is about less than 5000km. To fit a map in an 8.5in by 11 in what scale should I use

Answers

Answer:

  1 in = 500 km

Step-by-step explanation:

It is nice to choose a scale that leaves a little border, so one could probably make it ...

  10 in = 5000 km

  1 in = 500 km

__

If you'd rather have a "nice" ratio, you could use ...

  2.5 cm = 500 km   ⇒   1 : 20,000,000

_____

Additional comment

An inch is 2.54 cm, so using 2.5 cm for the same distance means the map is slightly smaller. It would end up about 9.8 inches wide, leaving a border of almost 0.6 inches on either side.

You might want a scale that makes it easy to draw using the tools you have. If your distances are in km, and you have an inch ruler, then the first choice might be better. If you have a centimeter ruler, then the second scale might work better for you.

The unitless scale is found by doing the division:

  [tex]\dfrac{2.5\times10^{-2}\text{ m}}{5.00\times10^5\text{ m}}=\dfrac{1}{2\times10^7}=\dfrac{1}{20,000,000}[/tex]

Juan buys a bond with a fixed coupon rate of 3%. Six months later, similar
bonds that are issued have a coupon rate of 4%. Which of the following is
TRUE? *

Answers

The coupon rate is the annual income that is expected by an investor.

What is a coupon rate?

Your information is incomplete as the options aren't given. Therefore, an overview of the coupon rate will be given.

The coupon rate simply means the annual income that an investor can expect to receive when he or she holds a particular bond.

It's fixed when the bond is being issued and calculated by dividing the sum of the annual coupon payment by the par value.

Learn more about coupon on:

https://brainly.com/question/2284861

Solve equation by using the quadratic formula.
8x² + 3x = 5

Answers

Answer:

[tex]x = \frac{5}{8} - 1[/tex]

x = 5/8 , -1

ABC  DEF. Find the length of median FQ.

Answers

Soln,

we Know that,

FQ/CP = QE/PA

or,FQ/27= 24/18

or,18FQ=648

or,FQ= 648/18

or,FQ=36

?The measure of chance variation

1 - Standard error
2- Standard deviation
3- Variance​

Answers

Answer of these questions is Mean

Write as a
single fraction
X-2
X+ 3
X+1
x-11

Answers

Answer:

x-2/1

X+3/1

x+1/1

x-11/1

Step-by-step explanation:

just put over 1 in the bottom for all the equation

Achilles was chosen to fight for the Greeks and he was honored to accept. Was he a good warrior? He forgot to take care of his weakness and this ultimately was taken advantage of by the defense, which led him being killed in battle. Was this honorable?
This story about the warrior Achilles demonstrates which character trait Homer was teaching?
Courage
Jealousy
Honesty

Answers

Answer: I don’t really know

Step-by-step explanation:

a/5+3=8
Please helI will mark BRAINLIEST ​

Answers

Answer:

A=25

Step-by-step explanation:

8-3=5

25/5=5

a=25

Answer:

A = 25

Step-by-step explanation:

To solve this equation, we have to find a number that can replace a that makes the equation true.

So, what number would fit?

Well, since a 5 is being divided by a, we have to find a number that 5 can  divided by 5 that gets 5.

This way, you can add 5 to 3 and get 8

Well, 5 x 5 = 25

So, 25 / 5 = 5

So, if we set a to 25, the equation is true

25 / 5 =5

5 + 3 = 8

Correct Answer: 25

!!50 POINTS!!
need it pronto!!

Answers

Answer:

I would like to help but it's hard tho sorry

Answer:

i need more context

Step-by-step explanation:

A diamond ring costs $1,020 to manufacture and is sold in stores for $1,275. While, a ruby ring that normally sells for $290 is on sale for $203.

Answers

Answer:

The 2nd paragraph has the straightforward answer, technically.

This is an example of gross domestic product and today's marketing. When a product is usually paid more money to manufacture than it costs to actually sell. However, the usual difference between manufacturing cost and sales cost is on average is at most 5 - 15% of the manufacturing cost.

The second problem however is just the perfect example of sales and sales tax. The diamond ring is on sale for 30% off in this case, because 290 divided by its percent is equal to 30%, the remaining amount.

Write a linear equation for the line represented by the table above.

Answers

Answer: y = -x - 9
——————————————————————
Pick two points: (-2,-7),(-1,-8)
——————————————————————
Find a slope: m = ((-8)-(-7))/((-1)-(-2)) = -1/1 = -1
——————————————————————
Plug-in in to linear equation: y = mx + b
-8 = -1(-1) + b
-8 = 1 + b
-9 = b
—————————————————————
So… y = -x - 9

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism?

Answers

Answer:  It takes 64 – ¼ inch cubes to fill one unit cube. The right rectangular prism can be filled with ¼ inch cubes. It takes 9 x 2 x 4 cubes to fill this right rectangular prism. It takes 72 – ¼ inch cubes to fill this right rectangular prism.

Step-by-step explanation:

Multiply.
5 - 6
3
2
1
0
-10

Answers

Answer:

Hello! the answer is negative 1

Step-by-step explanation:

5 - 6 is negative 1

there's no answer option for it

_AnnieTheDreamGirl, 3/8/2022

I think you meant Subtract or multiply?

Answer:

-1

30

Step-by-step explanation:

5  - 6 = -1

The first number is least than the second number thus, it a negative..

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

5 * 6 = 30

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

As shown it none of the answer choices.. I think there a mistaken with your question..

[RevyBreeze]

WILL MARK AS BRAINLIEST!!

On the first day of school, the teacher places 3 pencils and 2 highlighters on
each desk. Which shows the ratio of highlighters to pencils? Select THREE
ratios.
A. 3 to 2
B. 2:3
C. 2 to 3
D. 3/2
E. 3:2
F. 2/3

Answers

Answer:

B, C, and F

Step-by-step explanation:

find the value of x ​

Answers

Answer:

is awnser is 1

Step-by-step explanation:

i need help with this question

Answers

Answer:

[tex]\boxed{\tt D)\: x=42.5}[/tex]

Step-by-step explanation:

[tex]\tt 2x+5=90[/tex]

[tex]\tt 2x=90-5[/tex] ←(Subtract the numbers)

[tex]\tt 2x=85[/tex]

[tex]\tt \cfrac{2x}{2}=\cfrac{85}{2}[/tex] ← (Divide both sides by 2)

[tex]\boxed{\tt x=42.5}[/tex]

~

You borrow $3000 (principal) for 4 years and pay a 9% interest rate. How much interest do you pay?

Please explain your anwser!!

Answers

Answer:

Hello there, your answer would be 270

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

We assume, that the number 3000 is 100% - because it's the output value of the task.

so that x is the value we are looking for.

If 3000 is 100%, so we can write it down as 3000=100%.

We know that x is 9% of the output value, so we can write it down as x=9%.

Now we have two simple equations:

3000=100%

x=9%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

3000/x=100%/9%

Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for what is 9% of 3000

     - we multiply both sides of the equation by x and - we divide both sides of the equation by x

now we have:

9% of 3000=270

So, the answer is 270

What is the explicit formula for the geometric sequence: 4, 20, 100, 500, ....

Answers

Answer:

Step-by-step explanation:

Common ratio = 20/4 = 100/20 = 500/100 = 5

first term = 4

so

aₙ = 4 * 5ⁿ⁻¹

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