The resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]
How to simplify fractional sumGiven the expression as shown in the question:
[tex]\frac{x-2}{x+3} + \frac{10x}{x^2-9}[/tex]
Find the LCM of the expression to have:
[tex]\frac{(x-2)(x-3)+10x}{(x+3)(x-3)}[/tex]
Expand the expression
[tex]\frac{(x^2 - 5x+6+10x}{(x+3)(x-3)}\\\frac {x^2 + 5x+6}{(x+3)(x-3)}\\[/tex]
Expand the expression
[tex]=\frac {x^2 + 2x + 3x +6}{(x+3)(x-3)}\\=\frac {x(x + 2) + 3(x +2)}{(x+3)(x-3)}\\=\frac{(x+2)(x+3)}{(x+3)(x-3)}\\ =\frac{x+2}{x-3}\\[/tex]
Hence the resulting expression will be [tex]\frac{x+2}{x-3}\\[/tex]
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Answer:
I think its C I know for sure its not A or D
Step-by-step explanation:
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
174 + 10x = 102 + 10x - 6x
Step-by-step explanation:
174 + 10x = 102 + 10x - 6x
174 - 102 = 10x - 6x -10x
72 = - 6x
- x = 72/6
- x = 12
x = -12
Jamie is not sure exactly what career to pursue but when she learned about the Human Services cluster, something spoke to her. Which types of career pathways are available to Jamie? Pick a career from each path and explain what it involves and where she might work if she had that job.
The careers in the human services cluster include:
Agriculture, and Natural Resources.Architecture and Construction. Communications.Business, Management, and Administration.Education and TrainingHow to illustrate the information?Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.
Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.
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please help i am so confused
Answer:
[tex]q\geq -81[/tex]
Step-by-step explanation:
First, begin by multiplying [tex]\frac{q}{27} \\[/tex] by its reciprocal.
To do this, flip the fraction upside-down.
The resulting equation looks like this: [tex]\frac{27}{1} *\frac{q}{27}[/tex]
Cancel out the two 27's and you are left with [tex]\frac{q}{1}[/tex] , which you can simplify to q.
Next, multiply -3 by [tex]\frac{27}{1}[/tex] . Remember, what you do on one side, you must do on the other.
Your equation should look like this:
[tex]q\geq -81[/tex]
The final answer is [tex]q\geq -81[/tex] .
Have a nice day!
I need help like really bad.!
Answer:
C
Step-by-step explanation:
A's equation would be 60+6
B's equation would be 60-6
C's equation would be 60/6
Answer:
c
Step-by-step explanation:
the first one would be 60+6, and the second would be 60-6.
I know this one is hard but its hard for me. PLEASE HELPP
Answer:
G. <3 and <5 hope this helps
Answer:
G
Step-by-step explanation:
ally and sophie are sharing cookies in a ratio of 5:2, ally has 15 more than sophie. How many sweets does sophie have?
I will give brainlyist to the first right answer
Answer: I think it's 5(x+2y-3) or just letter C.
Step-by-step explanation:
Carlos has four notes in his wallet: $5, $10, $20, and $50. He takes out two notes at random.
There are six possible pairs of notes. List them.
b Find the probability that:
i. one of the notes is $5 ii. the total value of the notes is more than $50.
Answer:
5 and 10
5 and 20
5 and 50
10 and 20
10 and 50
20 and 50
1/4 for 5$
1/4 for 50$
Solve for x please and thank you.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
See https://brainly.com/question/22237817 for a complete explanation.
Answer choices:
AB
EF
KL
RS
PLEASEE HELP MEE FASTT
Answer:
RS
Step-by-step explanation:
If a/2 = b/3, then b/a = ?
A. 3/2
B. 2/3
Is -16 rational or irrational
Answer:
irrational number
Step-by-step explanation:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.
Please help with this, I don't know if 10 points are enough.
Answer:
x = 65
Step-by-step explanation:
all angles in a triangle add up to 180 degrees
therefore, knowing that we can say that 25 + 25 = 50 degrees.
we then minus 50 from 180 (180-50=130) to find the remaining angle
we then say that 2x = 130
and solve for x i.e. 130/2 = 65
therefore x is 65
Sweet T is making a double batch of cupcakes. He puts them in the oven at 6:50 that needs to bake for 25 minutes. When should sweet T take the cupcakes out of the oven?
Answer:
7:15
Step-by-step explanation:
Which graph represents a function?
Answer:
D
Step-by-step explanation:
A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.
Let's examine each choice.
(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.
(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.
(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.
(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.
Therefore, the answer is D.
Answer:
D
Step-by-step explanation:
give person above brainliest
have a good one!
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST TO WHOEVER GETS THIS RIGHT
Answer:
FGJ +JGH=90
25+x. =90
x. =90-25
x. =65°
Answer:
65
Step-by-step explanation:
Hey There!
Those are a pair of complementary angles meaning that they will add up to equal 90
so to find x we subtract the given angle from 90
90-25=65
therefore x=65
Find the Perimeter of the figure below, composed of a parallelogram and two
semicircles. Round to the nearest tenths place.
15
12
Answer:
91.68
Step-by-step explanation:
first u find the perimeter of the inner shape...
15+15+12+12=54
than u find the circumstances of the two circles than dividing it is half since it is half a circle
c=2×pi×r
c=2×3.14×6
c=37.68
than add them together
37.68+54= 91.68
please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth
!. How wide and deep is the keyboard
2. what is the area of the keyboard
Answer:
Width = 6ft Area = 54 sq ft
Step-by-step explanation:
First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).
Translate the problem:
"The length of a rectangle is 3 ft longer than its width" means
L = 3 + W (eq1)
"the perimeter of the rectangle is 30 ft" means
P = 30 (eq2)
So, now the math is easy, just find L and W so we can compute the area:
P = 30 = 2L + 2W (eq3; from eq2 and the formula for P)
30 = 2(3+W) + 2W (use eq1 to substitute for L)
30 = 6 + 2W + 2W (distribute)
30 = 6 + 4W (collect terms)
24 = 4W (subtract 6 from both sides)
6 ft = W (divide both sides by 4)
Use the easiest equation (either eq1 or else eq3) to find L:
L = 3 + W (eq1)
L = 3 + 6
L = 9 ft
What is the area (A)?
A = L*W
A = (9 ft)*(6 ft)
A = 54 sq ft
please help me!!!!!!!!
Answer:
DE=36/9=4............
3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
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Someone please help me with this question
Is chef is going to use a mixture of two brands of Italian dressing the first brand contains 9% vinegar and the second one contains 12% vinegar the chef wants to make 240 mL of dressing that is 11% vinegar how much of each where should she use
Answer:
80 of vinegar
160 of dressing
Explanation is below.
Hope this helps :)
if 100g can make 24 cakes, how much flour is needed to make 48?
Answer:
200g
Step-by-step explanation:
24x2=48
100x2=200
What is the positive solution to the equation 0=1/3 x^2 -3
Answer:
x=3
Step-by-step explanation:
To solve for x, get x alone on one side of the equation.
First, add 3 to both sides.
3 = 1/3x^2
Multiply each side by 3
x^2 = 9
Take the square root of both sides
x = + or - 3
You want the positive solution, so x = 3
Simplify√60×√180/√75
Find the perimeter of the figure.
Step-by-step explanation:
12 times 4 + 12 + 48
Answer:
Not sure but giving it a try.
the perimeter of a circle is its circumference. C=2pir
2×3.142×6=38cm
the perimeter of one triangle is 13cm+5cm+12cm. how did i get 5?
22-12=10,
10÷2=5.
13cm+5cm+12cm= 30.
count that as two, 30+30=60.
perimeter of square= length × 4 = 12×4 = 48
Total : 38cm+60cm+48 = 146cm?
The perimeter of a rectangle is 72 m. The width of the rectangle is 16 m. What is the area of the rectangle?
Answer:
320m
Step-by-step explanation
a rectangle has four sides, two pairs of identical sides. So two sides are 16. So that adds up to 32. Perimeter is all sides added together. so it has to add up to 72. 72 minus 32 is 40, so two of the sides have to be 40. Area is length times width, so 16 times 20, which is 320.
Question 14 (4 points)
M M
(8x + 18)
L
(20x
+4)*
(6x + 4)º
What is mZKLM?
F 3
H 42
G 22
J 644
Answer:
oi bom fia lindinha a resposta em total 1k4
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
Answer:
= 40.5π square inches
Step-by-step explanation:
Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?
The formula for the surface Area of a cylinder = 2πr( r + h)
r = 1.5 inches
h = 12 inches
Hence,
2 × π × 1.5( 1.5 + 12)
3π(13.5)
= 40.5π square inches
The surface area of the cylinder is
= 40.5π square inches
