Answers
Answer:
[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}\\=\frac{x^2+(2-1)x-2}{x^2(x-1)+2(x-1)}\\=\frac{x^2+2x-x-2}{(x-1)(x^2+2)}\\=\frac{x(x+2)-1(x+2)}{(x-1)(x^2+2)}\\=\frac{(x-1)(x+2)}{(x-1)(x^2+2)} \\=\frac{x+2}{x^2+2}\\So, ~last~option~is~the~correct~answer.[/tex]
The simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]\rm \dfrac{\left(x^2+x-2\right)}{x^3-x^2+2x-2}[/tex]
[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{x^3-x^2+2x-2}[/tex]
[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x^2+2\right)}[/tex]
= (x + 2)/(x² + 2)
Thus, the simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.
Learn more about the expression here:
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Related Questions
Which statement is true regarding the intervals where the function is increasing and decreasing? The function is increasing from (–∞, 0). The function is increasing from (0, ∞). The function is decreasing from (–∞, 0). The function is decreasing from (–∞, ∞).
Answers
Step-by-step explanation:
mark me as a brainlist hope its helpful yo you
The function is increasing from (–∞, 0). Then the correct option is A.
What is increasing and decreasing of function?If the value of y increases as the value of x increases, then increasing function.
And if the value of y decreases as the value of x increases, then decreasing function.
From the graph, the function is increasing from (–∞, 0).
Then the correct option is A.
The complete question is attached below.
More about the increasing and decreasing of function link is given below.
https://brainly.com/question/14330051
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The function y = f(x) is shown in the graph, while y = g(x) is in the table. Choose all of the true statements.
Answers
Answer:
Step-by-step explanation:
a,b,and d
hopes this helps
Answer:
A B D E
Step-by-step explanation:
If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, how much interest is earned after 15 years?
Answers
Answer:
The amount is $3372.13 and the interest is $872.13
Step-by-step explanation:
Interest is the monetary charge for the privilege of borrowing money.If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals,
then 864.671 is the interest earned after 15 years.
What is Interest?Interest is the monetary charge for the privilege of borrowing money.
Given that $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, We need to find how much interest is earned after 15 years.
After 15 years,
Amount=2500×(1+2%)^15
=3364.671
The formula for interest is given below,
Interest=Amount-Capital
=3364.671-2500
=864.671
Hence 864.671 is the interest earned after 15 years for $2,500 is deposited with 2% interest compounded quarterly and there are no other deposits or withdrawals.
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[2.(9 – 8)]3 – 4 + 3
What is the answer
Answers
Answer:
5
Step-by-step explanation:
calculate (2(9-8))X3-4+3 then calculate the product (2X1)x3-4+3 then you multiply 2x3-4+3 after that you calculate 6-4+3 and you get 5
Answer:
5
Step-by-step explanation:
[2 x ( 9 – 8 )] x 3 – 4 + 3
[2 x ( 1 )] x 3 – 4 + 3
2 x 3 - 1
6 - 1 = 5
A Solve the
1. The total number of books which were borrowed from a library from Monday to Sunday can be
modelled by the function F(x) = 200x + 542x² + 179x + 1605 and the number of visitors to the
library from Monday to Sunday can be modelled by G(x) = 100x + 321, where x is the number of
days since Monday Which of the following expressions correctly describes the average number of
books per visitor?
Answers
Answer:
?
Step-by-step explanation:
A(n)?
is a number that is a multiple of two or more numbers.
Answers
1.1 x 1.2 with work shown
Answers
Answer:
1.32 that should be correct
Answer:
1.32
Step-by-step explanation:
you would write it out like this on paper
1.1
1.2
_______
22
+ 110
_______
132. ---> 1.32 because you move it two decimal points to the left because of the decimal points in 1.1 & 1.2.
Which expression shows -5 3/5+9 1/5 as the sum of integer and fractional parts?
Answers
Answer:
-5 + 9 + (-3/5) + 1/5
Step-by-step explanation:
Someone help pleaseee :)) thanks guyss
Answers
2 7/10
Explanation:
First you multiply 5 by 2/5 which is 2.
Next you multiply 2 by 2 which is 4.
Then you multiply -3 by 1.1 or you can turn it into a fraction then multiply
-3x11/10 which is - 33/10 .
Finally you put them all together and add or subtract.
2+4-33/10=?
6 - 33/10=?
60/10-33/10=27/10=2 7/10
The sum of two numbers is 24. One number is four less than the other. Find the numbers.
Answers
Answer:
The correct answer is 10 and 14
If Kiri has 28 full-time members this month, how many part-time members does she need, according to your formula?
Answers
George had 50.00 he bought a pair of pants for 39.59 and a tire for 8.75 what is the total amount of money that he has left
Answers
simplify the expression -2m-6(m+1)
Answers
Hope this helps
Have a great day/night
Answer:
-8m - 6
Step-by-step explanation:
-2m -6( m + 1 )
Distributive property (multiply what is in the parenthesis by what is out of it)
-2m -6 * m + -6 * 1
-2m -6m - 6
Combine like terms
-2m + -6m = -8m (remember 2 negatives numbers added will give you a bigger negative number so think of it as adding 2 numbers and then putting the negative sign in front of it)
-8m - 6
You cannot simplify it anymore, since it's not like terms
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.
Answers
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A. 2(x + 3) = 25
B. 2(3) + 25 = x
C. 2x + 3 = 25
D. x + 2(3) = 25
Answers
Answer:
The answer is c
Step-by-step explanation:
Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight. What will be the adult weight of Andre’s puppy?
Answers
Answer:
30 lbs.
Step-by-step explanation:
There is a much easier way to do this involving percentages, but I hate percentages so here is my way.
The adult weight will be 100% and the puppy is currently around 30%. If you multiply 30% by 3, you get 90% which is almost 100%.
So I multiplied 9 by 3 to get 27 lbs.
Now I need to get the remaining 10%. 9 lbs is 30%, soto get to 10%, I divide 30% by 3. I divided the 9 lbs by 3 to get 3 lbs.
Add the two numbers together: 27+3=30 lbs
A lottery game has balls numbered 0 through 9. What is the probability of selecting an even
numbered ball or a 5?
Select one:
2
a.
5
3
b.
5
c. 5
d. 2
Answers
Answer:
I believe there is a 5/10 chance
Step-by-step explanation:
Answer:
5/9 chance
Step-by-step explanation:
There are 4 even numbered balls from 0-9. Meaning there is a 4 out of 9 chance to get a even ball, but there is also a five. So the answer is 5 out of 9.
Please give brainliest :)
find the volume of this figure
Answers
Answer:
1920 cm³
Step-by-step explanation:
For the left figure:
10 • 8 • 14 =
80 • 14 = 1120
For the right figure:
10 • 10 • 8 =
100 • 8 = 800
Add together : 1120 + 800 = 1920 cm³
8x10x14= 1120
800 + 1120 = 1920
The sum of the lengths of two sides of a triangle must be greater than the third side. The sides of a triangle measure x
cm, 12 cm, and 10 cm. Which inequality can be used to represent the possible values of x?
VX
O X+12 > 10
X+ 12 <10
O X+ 12 > 12
O X+ 12 <12
Save and Exit
Next
Submit
Markthisandramm
Answers
Answer:
A
Step-by-step explanation:
It says the sum of the two sides must be greater than the third side, so we can eliminate answers B and D.
Answer C uses 12 multiple times, but in a equation of a triangle, we can't use 12 twice because when you calculate using the Pythagorean Theorem, X has to be the square root of 44. So C is out.
A is the correct answer. (also, I got it right on edge 2021)
Which one is ASA, AAS, HL, SSS, SAS
Answers
Answer:
1. ASA
2. AAS
3. AAS
4. SSS
5. SSS
6. not sure which triangles are number 6
7. SAS
Determine the order pair and quadrant for each point:
A.
B.
C.
Answers
Answer:
A: (-4,1) QUAD 2
B: (-1, -3) QUAD 3
C: (2,5) QUAD 1
D: (5, -4) QUAD 4
Step-by-step explanation:
The points in the table below are on the graph of the function g(x). Which rule and table of values correspond to points on the graph of the function g‒1(x)? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 14, negative 6, negative 4, negative 2, 6. A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 1, 0, negative 1, negative 2. Column 2 is labeled y with entries 6, negative 2, negative 4, negative 6, negative 14. (a, b) → (‒a, b) A 2-column table with 5 rows. Column 1 is labeled x with entries 14, 6, 4, 2, negative 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → ( −b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 14, negative 6, negative 4, negative 2, 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → (b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 14, 6, 4, 2, negative 6. (a, b) → (a, ‒b)
Answers
Answer:
MAG ARAL KA NG MABUTI ...PARA BALANG ARAW MAIPAGMALAKI KA... ❤️DOWN PAG MABASA MOTO☺️
Conduct a Pareto analysis for the number of minutes that flights are late in the accompanying data. Interpret the results. LOADING... Click the icon to view the Atlanta Airline Data. Conduct a Pareto analysis for the number of minutes that flights are late. 15127137130.3074601124.053619303 192644911620.5010780515.163538874 192426514270.6153514455.158176944
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution:
20% of flights accounted for nearly 70 to 80% of delayed minutes.
25 Pionts for it :)
Molly likes to quilt. Her new quilt will have 20 squares in one row, and the side lengths of each square will be 3 inches longer than the side lengths, s, of the squares on her previous quilt.
Complete the expression below that represents the length, in inches, of one row of Molly's quilt.
Answers
Answer:
20 (3+s)
and the answer to the expression is
20 (3+s)
=60+20s
80
The surface areas of two cubes have a ratio of 49 to 81. What is the
ratio of the edge lengths of the two cubes?
A
7 to 9
B
1 to 32
C
32 to 49
D
3 to 4
Answers
Answer:
A
7 to 9
Step-by-step explanation:
We have that:
The ratio of the edges is x.
The ratio of the surface areas is given by [tex]x^2[/tex]
The ratio of the volumes is given by [tex]x^3[/tex]
In this question, we have that:
[tex]x^2 = \frac{49}{81}[/tex]
So
[tex]x = \sqrt{\frac{49}{81}} = \frac{7}{9}[/tex]
So the correct answer is given by option A.
A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,
-4) and ends at point (25, 38). Counting the start point and end point, how many
points with integer coordinates does the caterpillar touch?
Answers
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
A garden table and a bench cost $903 combined. The garden table costs $53 more than the bench. What is the cost of the bench?
Answers
2x=850 divide by two
x=425
bench - $425
I really need help I will give brainliest
Answers
Answer:
64 degrees
Step-by-step explanation:
All angles in a triangle plus each other equals 180. First find the missing angle of the triangle with 2 given angles. The missing angle is 64 degrees because 68 plus 48 is 116 and 180 - 116 is 64. Vertical angles are always congruent and the missing angle is vertical to the missing angle on the first triangle.
. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information
Answers
Answer:
C. x = 4√70
Step-by-step explanation:
To find x, we would apply the leg rule.
Leg rule is:
Hypotenuse/leg = leg/part
Hypotenuse = 36 + 20 = 56
Leg = x
Part = 20
Plug in the values into the equation
Thus, we would have:
56/x = x/20
Cross multiply
x*x = 56*20
x² = 1,120
x = √1,120
x = √(16*70)
x = 4√70
The correct answer is c.
The sum of three numbers is 52. The difference of the largest and the smallest is 48, and the sum of the two smaller numbers is 11, Find the numbers.
Answers
Answer:
41, -7, 18
Step-by-step explanation:
Let a = smallest number
b = second number
c = largest number
Then a + b +c = 52 c - a = 48 a + b = 11
11 + c = 52
c = 41 41 - a = 48
-a = 6
a = -7 -7 + b = 11
b = 18
Answer:
a=-7
b=18
c=41
Step-by-step explanation:
a+b+c=52
c-a=48
a+b=11
11+48=59
a+59=52
a=-7