Mathematics High School

Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )

Select The Correct Answer From Each Drop-down Menu.Consider This Expression.9/4x2 - 12x + 7x/x^2 - 9The

Answers

Answer 1

The answer is in the image attached. I hope it is helpful.

Select The Correct Answer From Each Drop-down Menu.Consider This Expression.9/4x2 - 12x + 7x/x^2 - 9The
Answer 2

The least common denominator of two given rational expression are   4x, (x-3) and (x+3).

What is the least common denominator of two rational terms?

The factored denominator of two rational terms are called least common denominator of two rational numbers.

How to find the least common denominator of two rational terms?

To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.

According to the given question

We have two rational expressions

[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]

Now let's factorize the denominators

[tex]4x^{2} -12x =4x(x-3)[/tex]

and, [tex]x^{2} -9=(x+3)(x-3)[/tex]

Therefore,

[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]

⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]

⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]

Therefore, the least common denominator of two given rational expression are   4x, (x-3) and (x+3).

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Related Questions

Solve. 213−12x=−23 Enter your answer in the box.

Answers

[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]

The value of x from the given equation is [tex]19\frac{2}{3}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 213-12x=-23.

Now, 213+23=12x

⇒ 12x=236

⇒ x=236/12

⇒ x=59/3

⇒ x=[tex]19\frac{2}{3}[/tex]

Therefore, the value of x is [tex]19\frac{2}{3}[/tex].

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Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

and that we use in the second equation

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she was working 14 hours on job A and 9 hours on job B.

Answer:

she is rich

Step-by-step explanation:

A rock is thrown into a pool 72 inches deep. The rock sinks at a rate of 4 inches per
second (s). The rock's height (h) above the bottom of the pool is given by the
equation: h = 72 – 4s. After how many seconds will the rock be half way to the
bottom?

Answers

Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.


4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking

helpp

Answers

Answer:

if you find the age of bob the rest is easy

Step-by-step explanation:

WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE

Answers

Answer:

It is totaly based on the diagram

Answer:

it is said on diagram or other values are given to find it

6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?

Answers

Answer:

3:5

Step-by-step explanation:

s:m = 2:3

m:i = 9:10

convert m to same number so they are comparable

s:m = 6:9   (multiple so the ratio is still the same as 2:3)

m:i = 9:10 (the same thing as before)

s:i = 6:10

s:i = 3:5 (simplify)

negate the following statements.​

Answers

I will not go to school tomorrow
The earth is not the center of the solar system
Angle A and angle B are not congruent
The money you gave me was not enough
She is enjoying her time
I did bring the key

I hope this helps.

Which 2 values are greater than 3/5?


1/4
0.68
2/3
0.599
1/2

Answers

The answer is 0.68 and 2/3

Hoped that helped

I am asking how this is when I found the median is 14!

Answers

Hi there!

2  3  5  5  9  11  13  14  14  17  20  22  24  28

If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.

Count 6 from both sides and we get the middle two numbers to be:

13  14  

Take the average:

(13 + 14)/2 = 13.5

**This must be done if the amount of numbers given is EVEN.**

Answer:

Step-by-step explanation:

There are an even number of entries that make up the Data Set. (14 entries)

When you have an even number, you take the two entries that are at the center to find the median.

The values at the middle are entry seven which is 13 and entry eight, which is 14.

Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5

Otherwise I think you are correct.

Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*

Answers

Answer:

unit rate 1:8

Step-by-step explanation:

An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))

Answers

Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

27.2 ft

Step-by-step explanation:

similar triangles

51/90=x/48

x=27.2 ft

I’m a right or nah.


Helppp

Answers

Answer:

You are right

Step-by-step explanation:

It starts at zero and goes up. (Positive slope)

Urgent!
<6 and what angle are corresponding angles?

Answers

Answer:

11

Step-by-step explanation:

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

find the perimeter of a regular pentagon with each side measuring 6cm.

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of a Pentagon=5L

P=5×6cm=30cm

A _______ is a variable, an integer or a product of variables and
integers.

Answers

Product variation .

what two decimal
are between the square root of 62

Answers

7 and 8 because the square root is 7.874

Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.

Answers

Answer:

60 degrees

Step-by-step explanation:

the smiths want to fence their square garden, which has an area 256 square meters.

Questions 4, 5 and 6
PLEASE I NEED THIS ASAP

Answers

The answer s=16 answer 48

Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?

Answers

Answer:

the answer is 8:5

Step-by-step explanation:

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.

WILL GIVE BRAINLY TO FIRST ANSWER

Answers

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

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Write the equation of the line graphed below in slope-intercept form.

Answers

Answer:

y=1/2x+3

Step-by-step explanation:

grabbing two points in this case (0,3) and (2,4)

we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2

to get the y intercept just look at where the line touches the y line in this case at 3

using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers

so we get y=1/2x+3

At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.

Write a system to represent the situation.

AND

Solve the system and interpret the answer.

Your Answer:

Answers

Answer:

[tex]x + y = 42,[/tex]

[tex]4x + 14y = 568,[/tex]

[tex]x = 2, y = 40[/tex]

Step-by-step explanation:

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Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP​

Answers

No as they have different interior angles

Answer:

no

Step-by-step explanation:

David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?​

Answers

Answer:

3,700

Step-by-step explanation:

I know it's black because I did it in my head

A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?

O 20
O 5
02
O 16

Answers

5 I think sorry if I’m wrong

The sample standard deviation is 2. Therefore, the correct answer is option C.

Given that, a sample of n=5 scores has M=20 and s²=4.

The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.

The standard deviation is simply the square root of the variance;

Here, [tex]s=\sqrt{4}[/tex]

[tex]s=2[/tex]

Therefore, the correct answer is option C.

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Which of the following is equivalent to:
−−(2+5)−(3−7)?

Answers

Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

whats the answer pls

Answers

Answer:

y=0.75x-1

Step-by-step explanation:

what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5

Answers

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

Hellooo, is this simple graphing or do I have to like solve something

Answers

Answer:

Just graph the points

Step-by-step explanation:

no need to solve anything

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