simplify the following rational expression?

Answer:

b)7x²(x-4)(x+6)!!!!!!!!!!!!

Answer:

D)  7x²(x+4)(x-6)

Step-by-step explanation:

the greatest common factor of all 3 terms is 7x²

7x²(x² + 2x - 24)

now we can factor x² + 2x - 24 to be:

(x+4) (x-6)

Answer:

Let’s let the unknown number be “x”

Now we can just plug it in

quotient of a number and 4

x/4

12 less then the quotient

(x/4)-12

Answer:

  p : q : r = 3 : 18 : 2

Step-by-step explanation:

Given:

  p : q = (1/3) : 2

  p : r = (3/4) : (1/2)

Find:

  p : q : r

Solution:

We want to rewrite these ratios so they use the same number for p. We can do that by using the least common multiple of (1/3) and (3/4) for p. That value is 3.

  p : q = (9)(1/3) : (9)(2) = 3 : 18

  p : r = (4)(3/4) : (4)(1/2) = 3 : 2

Then the ratio of interest is ...

  p : q : r = 3 : 18 : 2

_____

Additional comment

We are not often asked to find the least common multiple of fractions or mixed numbers. One way to do it is to write the numbers using a common denominator, then find the LCM of the numerators, and reduce any resulting fraction.

  LCM(1/3, 3/4) = LCM(4/12, 9/12) = (1/12)·LCM(4, 9) = 36/12 = 3

__

As with integers, you also have ...

  LCM(1/3, 3/4) = product/GCD = (1/3)(3/4)/GCD(1/3, 3/4)

The greatest common divisor (GCD) will be the unit fraction with the least common denominator: 1/12, so this is ...

  LCM(1/3, 3/4) = (1/3)(3/4)/(1/12) = (3/12)/(1/12) = 3

Answer:

500-410=

= 90

Step-by-step explanation:

your answer is c 90 miles per hour

Answer:

1. -1/3

2. (11,13) and (8,18)

3. -2

4. undefined

5. 60 miles per hour

Answer:

A

Step-by-step explanation:

Both the input and output are being increased by 1.

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope;  (change in y values)/(change in x values)

Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using  the slope intercept formula: y = mx + b

    m = 2 and using point (1, 3) , solve for "b"

       y = mx + b

       3 = 2(1) + b

       3 = 2 + b

      1 = b

3.  Write the linear equation: y = 2x + 1

Answer:

810/45=18 as the answer

Answer:

Step-by-step explanation:

(1): "a2"   was replaced by   "a^2"

((2a2 +  8ab) -  3a) -  12b

2a2 + 8ab - 3a - 12b

Answer: 1

Step-by-step explanation: 3 to the second power is just 3x3 which is 9. But because you asked "What is ten minus" we write it as 10 - 9 = 1 Hope it helped ^^

Answer:

A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $32 per pair of shoes. The shoes ...

5 pages

Step-by-step explanation:

Answer:

b on the time it takes to reach the bus stop

Answer:

7/10

Step-by-step explanation:

4/5 of 7/8 means we can multiply the fractions to get the answer

28/40 can be simplified by dividing by 4 to get:  7/10

Answer:

Please mark as brainlest please

The maximum profit is $923.44 which is gotten when 83 T shirts are produced.

Given the function:

Profit = Revenue - Cost

Profit (P) = 100x - (0.6x²+0.52x+3200)

P = -0.6x² + 99.48x - 3200

The maximum profit is at dP/dx = 0, hence:

dP/dx = -1.2x + 99.48

0 = -1.2x + 99.48

1.2x = 99.48

x = 82.9

x ≅ 83

The maximum profit is at x = 83, hence:

P = -0.6(83)² + 99.48(83) - 3200

P = 923.44

Find out more at: https://brainly.com/question/19682087

Answer:

Step-by-step explanation:

40% of people are men, then 60% are women.

60% of x is 42 people, find x:

Let total people be x

ATQ

[tex]\\ \sf\longmapsto 60\%\:of\:x=42[/tex]

[tex]\\ \sf\longmapsto 0.60x=42[/tex]

[tex]\\ \sf\longmapsto x=42/0.6=70[/tex]

2500 grams = 2.5 kilograms.

Remember:-

1000 grams = 1 kilogram.

_______

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According to above statement ~

where,

so, let's plug the value of x as 4 hours to find y ( total money charged by the electrician )

that is ~

So, you owe a total of $ 109 to the electrician ~

Answer:

if understand this correctly

Step-by-step explanation:

it would be half a meter

Answer:

Hi. is there a picture you can upload in your next question? I can try to help!

Step-by-step explanation:

Byeeee have a nice day

Answer:

84 degrees

Step-by-step explanation:

-28.97 written as a mixed number is = -28 97/100

Answer:

-28 97/100

Step-by-step explanation:

-28 97/100 yea

Answer:

rotated about 180 degrees clockwise

Step-by-step explanation:

Triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

From the given graph, the vertices of triangle A are (1, -1), (1, -4) and (3, -4)

The given vector is (-3, 1).

Translate triangle A by a vector (-3,1) to give triangle B.

Then rotate your triangle B 180 degrees around the origin to give triangle C.

The following steps can be used to describe the transformation that maps triangle A onto triangle C:

Step 1 - Triangle A is given in the fourth quadrant.

Step 2 - Now, as per the given data translate triangle A by a vector (-3,1) which means the triangle shift in the negative x-axis by a factor of 3 and also shift downwards in the negative y-axis by a factor of 1.

The resulting triangle is in the third quadrant which is triangle B.

Step 3 - Now, rotate the triangle B by 180 degrees. So, the resulting triangle is triangle C which is in the first quadrant.

Therefore, triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.

To learn more about the translation visit:

https://brainly.com/question/17485121.

#SPJ2

Step-by-step explanation:

Answer is in the picture

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

A system of equations consists of at least two equations

The value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]

The equation is given as:

y = 2x - 4

The actual question is to solve for x.

So, we start by adding 4 to both sides of the equation

y +4 = 2x - 4 + 4

y +4 = 2x

Rewrite the equation as:

2x= y +4

Divide both sides of the equation by 2

[tex]\mathbf{\frac{2x}2 = \frac{y +4}2}[/tex]

Divide 2x by 2

[tex]\mathbf{x = \frac{y +4}2}[/tex]

Split the fraction

[tex]\mathbf{x = \frac{y}2 +\frac{4}2}[/tex]

Simplify

[tex]\mathbf{x = \frac{y}2 +2}[/tex]

Hence, the value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]

Read more about systems of equations at:

https://brainly.com/question/12895249

Answer:

Slope: 2

Y-intercept:  (0, -1) or - 1

Step-by-step explanation:

Given the linear equation, -4x + 2y = -2:

Transform the given equation into its slope-intercept form, y = mx + b:

-4x + 2y = -2

Add 4x to both sides:

-4x + 4x + 2y = 4x - 2

2y = 4x - 2

Divide both sides by 2 to isolate y:

[tex]\frac{2y}{2} = \frac{4x - 2}{2}[/tex]

y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).

Answer:

A carpenter needs 4 1/3 strips of lumber for a project. Each strip is to measure 1/3 meter.

Step-by-step explanation:

Answer:

5 1/2 meters because 5 x 1/2 gives 11/2 so mixed fraction will be 5 1/2

Step-by-step explanation:

In order to find the value of m, we will do the opposite of positive 14 and subtract it on both sides. Now we have m = -11.

Hope this helps :)

Answer:

m = -11

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

#1 has to be excluded, since it jumps from 4 to 5 and has a hole between x=4 and x=5

#2 loses the extreme values. It would be correct if the domain was [tex]2<x<5[/tex]

#3 is including values in the interval [tex]1<x \leq 2[/tex] which aren't in our domain.

#4 is the remaining one.