The answer is in the image attached. I hope it is helpful.
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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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
Answer:
if you find the age of bob the rest is easy
Step-by-step explanation:
Which 2 values are greater than 3/5?
1/4
0.68
2/3
0.599
1/2
The answer is 0.68 and 2/3
Hoped that helped
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
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.
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:))
Answer:
868,412 visitors
Explanation:
434,206 x 2 (double)
what two decimal
are between the square root of 62
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?
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)
Hellooo, is this simple graphing or do I have to like solve something
Answer:
Just graph the points
Step-by-step explanation:
no need to solve anything
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:
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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Which of the following is equivalent to:
−−(2+5)−(3−7)?
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:
WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE
Answer:
It is totaly based on the diagram
Answer:
it is said on diagram or other values are given to find it
Write the equation of the line graphed below in slope-intercept form.
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
I’m a right or nah.
Helppp
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
Solve. 213−12x=−23 Enter your answer in the box.
[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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negate the following statements.
Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.
Answer:
60 degrees
Step-by-step explanation:
I am asking how this is when I found the median is 14!
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.
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?
Answer:
3,700
Step-by-step explanation:
I know it's black because I did it in my head
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?
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.
A _______ is a variable, an integer or a product of variables and
integers.
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
find the perimeter of a regular pentagon with each side measuring 6cm.
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
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
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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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?
Answer:
the answer is 8:5
Step-by-step explanation:
Urgent!
<6 and what angle are corresponding angles?
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).
Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*
Answer:
unit rate 1:8
Step-by-step explanation:
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.
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:
whats the answer pls
Answer:
y=0.75x-1
Step-by-step explanation:
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
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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Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answer:
no
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
27.2 ft
Step-by-step explanation:
similar triangles
51/90=x/48
x=27.2 ft