Simply the expression given below. x^2+x-2/x^3-x^2+2x-2

Answers

Answer 1

Answer:

Step-by-step explanation:

(x-1)(x+2)/x^2(x-1)+2(x-1)

(x-1)(x+2)/(x-1)(x^2+2)

(x+2)/(x^2+2)

Answer 2

Answer:

[tex]\frac{(x+2)}{(x^2+2)}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}[/tex]

To simplify the given expression , factor both numerator and denominator

Numerator : [tex]x^2+x-2[/tex]

Product is -2 and sum is +1. factors are 2 and -1

[tex]x^2+x-2=(x+2)(x-1)[/tex]

Denominator : [tex]x^3-x^2+2x-2[/tex]

Group first two terms and last two terms

Factor out GCF from each term

[tex](x^3-x^2)+(2x-2)[/tex]

[tex]x^2(x-1)+2(x-1)[/tex]

[tex](x^2+2)(x-1)[/tex]

Replace the factors in the given expression

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

Cancel out x-1 at the top and bottom

[tex]\frac{(x+2)}{(x^2+2)}[/tex]


Related Questions

Can someone please explain how to solve it ?? ​

Answers

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

[tex]4 \times 2[/tex]

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

[tex]3 \times 2[/tex]

add both equations and you get

[tex](4 \times 2) + (3 \times 2)[/tex]

The answer is 14cm! Don't forget to label. ;)

solve c2=a2+b2 for b

Answers

Answer:

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Step-by-step explanation:

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex].

Step-by-step explanation:

The given expression is [tex]c^2=a^2+b^2[/tex].

We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.

[tex]c^2-a^2=b^2[/tex].

We take the square root of both sides to get;

[tex]\pm \sqrt{c^2-a^2}=b[/tex].

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

[tex]b=\sqrt{c^2-a^2}[/tex].

What is the square root of 81?

Answers

Answer: 9 or -9 it can be both

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the square root is fundamentally just what two numbers multiply together to make the number within the square root

9 x 9 = 81

so 9 is the square root

also think of the root of the square

9^2 the root in this case is the nine and te answer is 81

Find the area of a parallelogram who vertices ate (2,1), (7,1), (9,5) and (4,5)

Answers

Answer:

20 units

Step-by-step explanation:

The area of a parallelogram is A =b*h. Find the base and height by looking at the points. The distance between (2,1) and (7,1) is 5. The height between (9,5) and (7,1) must be found as a perpendicular height. It is 4 and is the distance between y coordinates or 5 - 1 = 4. See attached picture.

So the area is A = b*h = 5*4 = 20

which ordered pair is not included in the graph of p=3m+6

A.) (1,9)
B.) (3,12)
C.) (10,36)
D.) (6,18)

Answers

Answer:

(3,12) and (6,18)

Step-by-step explanation:

An order pair is not included if it make the equation false. Substitute each pair to determine this.

(1,9) ----> 9 = 3(1) + 6 -----> 9 = 9 TRUE

(3,12) ---> 12 = 3(3) + 6 ----> 12 = 15 FALSE

(10,36) ---> 36 = 3(10) + 6 -----> 36 = 36 TRUE

(6,18) ----> 18 = 3(6) + 6 ----> 18 = 24 FALSE

The correct answer is option (B)(D) because the ordered pair (3,12) and (6,18) is not included in graph of [tex]\( p = 3m + 6 \)[/tex].

To determine which ordered pair is not included in the graph of [tex]\( p = 3m + 6 \)[/tex], we need to verify each pair against the equation [tex]\( p = 3m + 6 \)[/tex].

The equation [tex]\( p = 3m + 6 \)[/tex] represents a linear relationship where [tex]\( m \)[/tex] is the independent variable (input) and [tex]\( p \)[/tex] is the dependent variable (output).

Let's check each ordered pair:

A) [tex]\( (1, 9) \)[/tex]:

[tex]\[ p = 3 \times 1 + 6 = 3 + 6 = 9 \][/tex]

This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].

B) [tex]\( (3, 12) \)[/tex]:

[tex]\[ p = 3 \times 3 + 6 = 9 + 6 = 15\neq 12 \][/tex]

This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].

C) [tex]\( (10, 36) \)[/tex]:

[tex]\[ p = 3 \times 10 + 6 = 30 + 6 = 36 \][/tex]

This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].

D) [tex]\( (6, 18) \)[/tex]:

[tex]\[ p = 3 \times 6 + 6 = 18 + 6 = 24 \][/tex]

This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].

PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think

Answer:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

Step-by-step explanation:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

IQR = Upper quartile - lower quartile

Please answer this question ASAP.

Answers

Let c = angle TPS

This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.

We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.

So we have these two equations

a+c = 90

b+c = 90

If we were to subtract straight down then we would end up with

a-b = 0

which solves to

a = b

after adding b to both sides

Before an algebraic fraction is selected as a final answer what should you always check?

Answers

Answer:

a variable numerator

Step-by-step explanation:

Answer:

Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.

Let a algebraic equation is

[tex]4x+4=18[/tex]

Subtract 4 from both sides.

[tex]4x=14[/tex]

Divide both sides by 4.

[tex]x=\frac{14}{4}[/tex]

Now cancel out the common factors.

[tex]x=\frac{7}{2}[/tex]

The final answer in algebraic fraction is 7/2.

Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

A number that multiple by itself equal a given number is what​

Answers

Answer:

I don't understand the question, but...

When you multiply a number by itself, you are squaring it.

For Example:

3 x 3= 9

is the same as...

3^2= 9

what does 3(x+4)= equal​

Answers

3x + 12

[tex]3(x+4)=3x+12[/tex

Answer:

3x + 12

Step-by-step explanation:

3(x+4) => (3 · x) + (3 · 4) => 3x + 12

there are 3 different cheeses at the deil. yasuko buys 3/4 of a pound of each there are also 4 different meats she buys 1/2 of a pound of each how much total food did yasuko buy at the deil​

Answers

Answer:

explanation below

Step-by-step explanation:

3/4+3/4+3/4=9/4 or 2   1/4 pounds of cheese

1/2+1/2+1/2+1/2= 4/2 or 2 pounds of meat

so in total he buys 2 and 1/4 a pound of cheese and 2 pounds of meat or 4 1/4 pounds of total product

Answer:

The total food that yasuko did buy at the deli was: 4 1/4 pounds.

The length of AB (the minor arc) is 20 cm. What is the circumference of c

Answers

Answer:

D. 720 cm

Step-by-step explanation:

20/10 = x / 360

2 = x / 360

x = 360 * 2

x = 720

Answer

D. 720 cm

Final answer:

The circumference of a circle is greater than the length of any of its arcs. Without knowing what fraction of the circle's circumference the arc makes up, it's impossible to calculate the exact circumference from the arc length.

Explanation:

The arc length 's' is the distance traveled along a circular path, and the radius of curvature 'r', is the radius of the circular path. The circumference of a circle can be found using the formula 2πr, and the length AB, if it corresponds to the minor arc, can be the fraction of the entire circle. This fraction is determined by the relation between the length of the arc and the full circumference. Thus, if the length of AB is 20cm, then we can infer that 2πr (the full circumference) is greater than 20cm.

To find the exact value you'd need to know what fraction of the circle the minor arc AB represents. Without this information, we can only conclude that the length of the minor arc is smaller than the circumference (2πr) of the whole circle.

Learn more about Circle Circumference here:

https://brainly.com/question/33875792

#SPJ11

PLEASE HELP ASAP!!! What is the exact volume of the cone?


40π cm³

803π cm³

1603π cm³

160π cm³

Answers

Answer:

Its the third choice.

Step-by-step explanation:

V = 1/3  pi r^2 h

= 1/3 pi 4^2 * 10

= (160/3) pi cm^3.

Answer:

third one:)

Step-by-step explanation:

i took the k12 test

One side of a square is 4x, what is the area of this square?

Answers

Answer:

16x^2

Step-by-step explanation:

To find the area of a square, we use the formula

A = s^2  where s is the side length

A = (4x)^2

A = 16x^2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find how to find the area.

length*width

Since all sides of a square are the same:

4x*4x

16x^2 is the area of the square.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

A soup pot will hold 14 cups or water. How many quarts will the pot hold?

(Set up as a proportion and solve)

Answers

Answer:

3.5 Quarts

Step-by-step explanation:

we know that;

4 cups = 1 Quart

Therefore;

1 cup = 1/4 Quart

Therefore;

14 cups will be equivalent to ;

  = 14 × 1/4

  = 14/4 Quarts

  = 3.5 Quarts

7+12+21+34 Please find the mean!

Answers

Answer:

Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean

Answer:

The answer is 18.5.

Step-by-step explanation:

First, we have to add them all.

7 + 12 + 21 + 34 = 74

Next, we divide the sum by how many numbers we added (we added four numbers).

74 / 4 = 18.5.

I hope this helped! :-D

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

Answers

Answer:

The volume of cube =  x³ -6x²y + 12xy² - 8y³

Step-by-step explanation:

It is given that,

Side length of cube s = (x - 2y)

Volume of cube = s³

Points to remember

(a - b)³ = a³ - 3a²b + 3ab² - b³

To find the volume of cube

s = (x - 2y)

Volume V = s³ = (x - 2y)³

(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³

  = x³ -6x²y + 12xy² - 8y³

Therefore the volume of cube =  x³ -6x²y + 12xy² - 8y³

Answer:

[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Step-by-step explanation:

We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.

[tex]Volume =  (x-2y)^3[/tex]

We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]

So expanding the given expression accordingly:

[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]

Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

(03.05 MC) Daisy recorded the temperatures at which two oils freeze: Oil Temperature Cottonseed oil –48.1 °C Palm oil 24.1 °C Which statement about the temperatures at which these oils freeze is true? (1 point) Select one: a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C. b. Cottonseed oil freezes at a higher temperature than palm oil because –48.1 °C > 24.1 °C. c. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C > 24.1 °C. d. Cottonseed oil freezes at a higher temperature than palm oil because –48.1 °C < 24.1 °C.

Answers

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because          –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because          –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

Tori examined the pattern of exponents in the table.

Answers

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

[tex]6^{1} = 6[/tex]

so

[tex]6^{-1} = \frac{1}{6^{1} }[/tex]

= 1/6

and

[tex]6^{2} = 36\\[/tex]

So,

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

= [tex]\frac{1}{36}[/tex]

what is the mean mode midean and rage of 78 86 88 79 88 88 95 92

Answers

Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2

78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number

The mode is 88

The mean is 86.75

And the range is 17

Can I have brainliest if it is correct plz?

Answer:

This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)

have a great day

Given that cos(30°) = cos(45°)cos(15°) + sin(45°)sin(15°), it follows that cos(30°) =

Answers

Answer:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Step-by-step explanation:

To solve this problem you must know the formula of subtraction of angles for the function cosx.

The formula is:

[tex]cos(h-d) = cos(h)cos(d) + sin(h)sin(d)[/tex]

We can write 30° as: 45° - 15°

Then:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Using the formula for subtraction of angles we have:

[tex]cos(45\°-15\°) = cos(45\°)cos(15\°) + sin(45\°)sin(15\°)[/tex]

Notice that we have achieved the expression shown in the statement

Finally:

[tex]cos(30\°) = cos(45\°-15\°)[/tex]

Answer:

square root 3/2

Step-by-step explanation:

on usatestprep and the unit circle

Ken ate 2⁄7 of the chocolate bar one day and 8⁄14 the next day. How much of the chocolate bar did Ken eat?

Answers

Answer:

6/7

In decimal form it would be 0.85714285714

Answer:

6/7

Step-by-step explanation:

Add 2/7 and 8/14:

Recognize that the LCD is 14.  Rewrite 2/7 as 4/14.

Then 4/14 + 8/14 = 12/14.  This reduces to 6/7.

Ken ate 6/7 of the chocolate bar in two days.

Evaluate √121.
A.11
B.12
C.13
D.14

Answers

[tex] \sqrt{121} [/tex]

[tex] \sqrt{11 \times 11} [/tex]

A. 11

Answer:

A.11

Step-by-step explanation:

sqrt(121)

What number times itself is 121

11*11 = 121

-11*-11 =121

We have two options 11 or -11

Given our choices

A.11

*Easy!* Will mark brainest! Determine whether the given equations are parallel, perpendicular or neither.
y=-7
x=4

Answers

Answer:

The lines are perpendicular because the y=-7 is horizontal and the line x=4 is vertical. They intersect at a 90 degree angle

:D brainliest?

Step-by-step explanation:

This is not a linear equation!! You have to have 2 variables, y and x in the same equation in order for this to be made into a line.

You can use the equations y=kx for proportional lines or y=mx+b, which is slope-intercept form.

For example, y=2x-4.

Sorry I can't do more.

Graph the equation below by plotting the y-intercept and a second point on the line.

Answers

The y-intercept is the Y coordinate when X = 0

replace x with 0 and solve for Y:

y = 3/2(0)-5 = -5

The first point using the Y-intercept would be (0,-5)

Now to find another point replace X with another number other than 0 and solve for Y.

Lets use 2:

y = 3/2(2) - 5

y = 3-5 = -2

The second point would be (2,-2)

Now plot those two points and connect with a line.

See attached picture of how it should look:

David need 36 gallons of punch for a party and has two different cooler to carry I in the bigger cooler is 5 times as large as the smaller cooler how many gallons can each hold?

Answers

David needs 36 gallons.
So, 36/z (for now) the bigger cooler is 5x. However, I don’t know what x is. So, the problem can’t really be solved. I’m sorry.
Answer:

Small cooler can hold= 6 gallons

and big cooler can hold= 30 gallons

Step-by-step explanation:

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

( Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler  )

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

   x+5x=36

i.e.  6x=36

On dividing both side by 6 we get:

   x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5×6=30 gallons

Olive’s solar powered scooter travels at a rate of 30 miles per hour. What equation can she use to calculate her distance with relation to the time she is traveling?

Answers

To get total miles traveled, multiply 30 miles per hour by number of hours.

The equation would be m = 30h

Answer:

The answer is m=30h

Your welcome :)

multiply 12x to the 4th (-5 over 6x to the 3rd y squared)

Answers

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf 12x^4\cdot -\cfrac{5}{6x^3y^2}\implies -\cfrac{12\cdot 5\cdot x^4}{6x^3y^2}\implies -\cfrac{12}{6}\cdot \cfrac{5}{1}\cdot \cfrac{x^4}{x^3y^2}\implies -2\cdot 5\cdot \cfrac{x^4x^{-3}}{y^2} \\\\\\ -10\cdot \cfrac{x^{4-3}}{y^2}\implies -10\cdot \cfrac{x}{y^2}\implies -\cfrac{10x}{y^2}[/tex]

8398 divide by 10 then by 100

Answers

Answer:

8.398

Step-by-step explanation:

If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal

8398 / 10 = 839.8 Move the decimal 1 place.

839.8/100 = 8.398 Move the decimal 2 places.

In both instances, move the decimal left.

What is area of this face

Answers

Answer:

The area of that face is 28

Step-by-step explanation:

because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28

Answer:

[tex]28in^{2}[/tex]

Step-by-step explanation:

We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.

So, the area of the rectangle is

[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]

Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is

[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]

The total area would be

[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]

Therefore, the right answer is [tex]28in^{2}[/tex]

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