Rewrite [tex]\frac{2}{x^{2}-x-12 } and \frac{1}{x^{2}-16 }[/tex] as equivalent rational expressions with the lowest common denominator.
Provide your answer below:
___ , ___

Answers

Answer 1

Answer:

2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

Step-by-step explanation:

Factor x^2-x-12: (x+3)(x-4)

Factor x^2-16: (x+4)(x-4)

So, LCD would be (x+3)(x-4)(x+4)

Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

I hope this helped and have a good rest of your day!


Related Questions

What is the solution to this system of equations? (Possible answers included)​

Answers

Answer:

A. 2,6

Step-by-step explanation:

Looking at the lines, the lines intercept through 2,6.

Have a great day (:

Simon is cutting lengths of ribbon for an art project. He cuts a 2.7-meter ribbon, a 1.15-meter ribbon, and a 0.65-meter ribbon. What is the total amount of ribbon Simon cut?

Answers

Answer:

4.5 meters

Step-by-step explanation:

you just add them 2.7 + 1.15 = 3.85 + 0.65 + 4.5

Answer:

4.5 m

Step-by-step explanation:

         2.7

       + 1.15

       + 0.65

       = 4.50 meters of ribbon

Hope this helps!

:
The CoffeeShop is creating a new blend of coffee. Coffee A sells
for $5 per pound. Coffee B sells for $9 per pound. The
Coffee Shop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the Ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?

Answers

Let x = pounds of $12 per pound coffee

then

20-x = pounds of $9 per pound coffee

.

12x + 9(20-x) = 10(20)

12x + 180 - 9x = 200

3x + 180 = 200

3x = 20

x = 20/3

x = 6 and 2/3 pounds of $12 per pound coffee

.

Amount of $9 per pound coffee:

20-x = 20-20/3 = 60/3 - 20/3 = 40/3

or

13 and 1/3 pounds of $9 per pound coffee

Shayla purchased a vase in the shape of a rectangular prism. The area of the bottom of the vase is 18 square inches, and the height of the vase is 8 inches. How many cubic inches of water will completely fill the vase?

A : 26

B:144

C:648

D : 2,592

Answers

Answer:

B:144

Step-by-step explanation:

18*8=144


A. 625in^3
B. 25in^3
C. 125in^3
D. 5in^3

Answers

Answer:

125in^3

Step-by-step explanation:

All sides of a cube are equal

∴ vol. of cube= side³

Side = 5in

Vol= (5)³=125

∴ Volume = 125in³

The population of a school is 2100 and is increasing at the rate of 3%;6 years.
Write a function to model the situation.

Answers

Answer:

p = 2100e^0.3t , t=6 years

Step-by-step explanation:

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?

Answers

Answer: 8

Step-by-step explanation: Speed is distance/time

18/3 = 6 miles per hour running

18/2 = 9 miles per hour biking

3 hour bike = 27 miles

1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles

27 + 9/3 + 1.50 = 36/4.5 or 8

The graph shows the numbers of quarts of yellow paint that must be mixed with different numbers of quarts of red paint to make a certain shade of orange paint.
Based on the graph, write an equation that shows the relationship between the number of quarts of yellow paint, y, and the number of quarts of red paint, x, needed to make the shade of orange paint.


Enter your equation in the space provided. Enter only your equation.

Answers

Answer:

y = 0.4x

Step-by-step explanation:

The graph shows that the relation is linear, so we can model this relation with a linear equation:

y = ax + b

To find the value of the parameters, we should get two points from the line and use their coordinates in the equation.

From point (0,0), we have:

0 = a*0 + b

b = 0

From point (2,5), we have:

2 = 5a + b

a = 2/5 = 0.4

So the equation we want is:

y = 0.4x

Do you have a triangle with 3 angles:60 degrees,60 degrees,and 63 degrees

Answers

Answer:

No

Step-by-step explanation:

The sum of all angles in a triangle is 180°. Because 60 + 60 + 63 = 183 ≠ 180, this is not a triangle.

The sum of all angles in triangle is equeal to 180°

We need to check sum of 60, 60 and 63.

60+60+63=183

183≠180

There is no such triangle

write the midpoint of the segment as an order pair.

Answers

Answer:

1. (3, 5)

2. (1/2, 4)

Step-by-step explanation:

To find the coordinates of the midpoint of a segment, find the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.

1. (1, 2) and (5, 8)

x-coordinate of midpoint = (1 + 5)/2 = 6/2 = 3

y-coordinate of midpoint = (2 + 8)/2 = 10/2 = 5

Midpoint: (3, 5)

2. (0, 1) and (1, 7)

x-coordinate of midpoint = (0 + 1)/2 = 1/2

y-coordinate of midpoint = (1 + 7)/2 = 8/2 = 4

Midpoint: (1/2, 4)

What is the area of the regular polygon?

Answers

The diagonal is 10, so a side is [tex]{10/\sqrt{2} }[/tex]

The area would be 100/2

or 50 m^2.

What mathematical operation is used with scaling/dilations?

Answers

Answer:

The scale factor, r, determines how much bigger or smaller the dilation image will be compared to the preimage. k will always be a value that is greater than 0. Center Point The center point is the center of the dilation. You use the center point to measure the distances to the preimage and the dilation image.    

Step-by-step explanation:

so multiplication

pls help me with this rq

Answers

Answer:

25 inches

Step-by-step explanation:

We can use a ratio to solve

width  dr            height  dr

-------------       = ----------

width   act         height act

15 inches         x inches

--------------- = -----------------

3 ft                      5 ft

Using cross products

15*5 = 3x

Divide each side by 3

15*5 /3 = 3x/3

25 =x

Segment AC is a diagonal of a regular polygon ABCDEF. What does Angle ACD equal.
A.36
B.5
C.72
D.108​

Answers

Answer: the answer is D.108​

find the value of x help plz​

Answers

Answer:

5. x = 9

6. x = 12

7. x = 15

8. x = 11

Step-by-step explanation:

5. 90-56 = 34

34 = 3x + 7

27 = 3x

x = 9

6. 90 - 48 = 42

42 = 3x + 6

36 = 3x

x = 12

7. 90 - 47 = 43

43 = 2x + 13

30 = 2x

x= 15

8. 3x + 5x + 2 =  90

8x = 88

x = 11

Could somebody help me on this please

Answers

Answer:

right angle:-a Pythagorean theorem only works if the triangle is a right angle.

leg:- the two legs of a triangle are needed to complete the equation a²+b²=c²

hypotenuse:- too is needed to complete the equation too.

square root:- is used to simplify the equation at the end.

it was simplified by putting 169=x² in a square root.

Step-by-step explanation:

How are polynomials with operations, like other number systems, such as whole numbers and integers?

Answers

just look in the most popular math books and u will find your answer

BRAINLIEST AWARD ASAP
(Please explain the way you got your answer)

3(2-4i)^2

Answers

your answer is: 48i^2-48i+12

1. Using (a-b)^2= a^2-2ab+b^2, expand the expression
2. 3(4-16i+16i^2)
3. Distribute the 3 throughout
4. 12-48i+48i^2
5. reorder the terms
6. Answer is 48i^2-48i+12

Write the equation of the line that passes through the points (−1,−6) and (−5,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:you get two answers. y+6=-7/4(x+5) or y-1=-7/4(x+5)

Step-by-step explanation:

By the way the 7/4 is negative if you could not tell. You get this answer by finding the slope which is 1- -6/-5- -1 and get -7/4. Then you plug it into the formula y-y1=slope(x-x1). When you plug it in you should get that answer.

The equation of the line that passes through the point (-1, -6) and (-5, 1) is

y = (-7/4)x - 32/4

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c

Now,

(-1, -6) and (-5, 1)

Slope = m

m = (1 + 6) / (-5 + 1)

m = 7/-4

m = -7/4

Now,

(-1, -6) = (x, y)

-6 = (-7/4) x -1 + c

-6 = 7/4 + c

c = -6 - 7/4

c = (-24 - 7) / 4

c = -32/4

The equation of the line is y = (-7/4)x - 32/4

Thus,

The equation of the line is

y = (-7/4)x - 32/4

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ3

PLEASE HELP ME!!

I don't understand.... If possible, please explain!

If ABC ≅ DCE,
Angle B = 2x + 31 and Angle E = 7x - 24
x = [?]

Answers

Answer:

The congruence statement tells you that both angle B and angle E are equal, since the triangles are identical!

Step-by-step explanation:

We want to set the equations equal to each other.

2x+31=7x-24

We need to isolate our variable, which is X.

1. Add 24 to both sides.

New Equation: 2x+55=7x

2. Subtract 2x from both sides.

New Equation: 55=5x

3. Divide by 5 from both sides so X is alone!

New Equation: x=11

Enough said! :D

Check the statement(s) below to ensure that distance readings are accurate.
Estimate measurements to the nearest 0.05 cm.
Start all measurements at the 1 cm mark.
Start all measurements from the corner of the ruler.
Start all measurements from the zero (0) mark.

Answers

Answer:

A and D

Step-by-step explanation:

Took test on Edg 2020 and was correct

Answer:

A: Estimate measurements to the nearest 0.05 cm.

D: Start all measurements from the zero (0) mark.

Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game seasons.

Unit rate ______ points/games

Points in 11 games ______

Answers

Unit rate = 41 points / 3 games = 13 2/3 points per game

Point in 11 games = 13 2/3 points per game x 11 games = 150 1/3 total points, round to 150.

Which represents where f(x)=g(x)?

Answers

it’s the second choice. f(2)=g(0) and f(0)=g(4)

I need help I can’t figure this out

Answers

Answer:

12.04 = BC

Step-by-step explanation:

A tangent intersects at 90 degrees

We know AB and AC

We can use the Pythagorean theorem

a^2 + b^2 = c^2

AC^2 + AB^2 = BC^2

8^2 + 9^2 = BC^2

64+ 81 = BC^2

145 = BC^2

Take the square root of each side

sqrt(145) = BC^2

12.0415945 BC

To the nearest hundredth

12.04 = BC


What is the volume of the right rectangular prism, in cubic inches?
12 in
Area of base = 4 sq in
cubic inches

Answers

Answer:[tex]48\ in.^3[/tex]

Step-by-step explanation:

Given

height of prism [tex]h=12\ in.[/tex]

Area of base [tex]A=4\ in.^2[/tex]

Volume of a rectangular prism

[tex]V=height\times Area[/tex]

[tex]V=12\times 4[/tex]

[tex]V=48\ in.^3[/tex]

So, volume of Prism is [tex]48\ in.^3[/tex]

Answer:

48

Step-by-step explanation:

I'm doing the quiz, hope you guys have a good day.

(*˘︶˘*).。*♡

HELP QUICK PLZZZ HURRY!!!! ILL GIVE YOU 15 POINTS

Answers

Answer:

im so confused

can u make me brainliest Step-by-step explanation:

pleaseeeeeeeeeeeeeeeee

Answer:

What do you need help with?

Step-by-step explanation:

I'm happy to help! (If I can) (Probably not but maybe)

How can the diagram be used to evaluate Three-halves divided by three-fourths?

A number line going from 0 to 1 in increments of one-half.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is One-half.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is 2.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is One-half.

Answers

Answer: c

Step-by-step explanation: I took the test


Help please i'm getting mad because i don't understand, and again. Thank you if you answered. PLEASE HURRY!!!

Answers

D and e
E 3/4 pounds = 6/8 and 3 packages
of 1 1/8 were purchased to the 6/8 so therefor 3 times

D All packages weigh kore than 1/2 pound since 1/2=4/8 and smallest packages was 5/8 so therefor greater than 4/8

Answer:

D and E are the correct answers

Step-by-step explanation:

A is false: The difference between the greatest and least weights is NOT 1/2.

B is false: 2/9 of the packages weigh 5/8 pounds...not 1/4.

C is false: You can clearly see there were more than 12 packages purchased.

D is true: 3/4 = 6/8 and there is 1 package that weighs 6/8 pounds 1 x 3=3 and there is a total of 3 packages that weigh 1 1/8 pounds.

E is true: 1/2=4/8 and the smallest amount is 5/8 pounds which is over 1/2 pound.

~ Please mark me as brainliest :)

A girl measures the mass of a 8 cm3 block of sugar to be a 12.9 g. What is the density of the brown sugar. Give work.

Answers

Answer:

Density: 1.6g/cm^3

Step-by-step explanation:

Density = mass/volume

Mass: 12.9g

Volume: 8cm^3

12.9/8 = 1.6125

Rounded to tenths place.

1.6 grams/cm^3

Answer:

1.61 g/cm³

Step-by-step explanation:

Density is measured as the mass divided by the volume:

d = m / v, where d is the density, m is the mass, and v is the volume

Here, our mass is 12.9 g and our volume is 8 cm cubed, so plug these in:

d = m / c

d = 12.9 g / 8 cm³

d = 1.6125 ≈ 1.61 g/cm³

The density is 1.61 g/cm³.

Simplify the expression.

[tex]\sqrt\frac{16}{15} - \frac{1}{3}[/tex]

Answers

Exact Form:
√15/4 -1/3

Decimal Form:
0.63491250

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