Simplify the following rational expression and express in expanded form.

Simplify The Following Rational Expression And Express In Expanded Form.

Answers

Answer 1

Answer:

D m =  [tex]-\frac{3}{8}[/tex]

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> [tex]\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}[/tex]

=> [tex]-\frac{2m + 1}{8m + 3}[/tex]

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> [tex]-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}[/tex] = [tex]-\frac{2m + 1}{-3 + 3}[/tex] = [tex]-\frac{2m + 1}{0}[/tex]

in this case, the values of m from option D make the denominator of the fraction equals 0.


Related Questions

Please help! Will give brainiest to correct person!! No links please!

Answers

Answer:

39 inch

Step-by-step explanation:

Answer:

H=39.0625

Step-by-step explanation:

D=32in

R=1/2d=32/2=16

Volume of cylinder:pi r^2h

V=pir^2h

10000pi=16^2hpi

256h=10000

h=39.0625

What is the domain and range of √ X 2?

Answers

The domain of √ X  2 is X ≥ 4. The range is all real numbers.

Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.

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Martin will earn $20 per hour at a new job. During training, he will earn $15 per hour. What percent of Martin’s regular hourly rate will he earn during training?

Answers

Answer:

5

Step-by-step explanation:

Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her children at 3/4 of the wedges.

A) how many wedges did her children eat

B) how many wedges are left?

Answers

A = 27
B = 9

Total orange = 6
One orange wedge = 6
Total wedge = 6*6 = 36
36 / 4 = 9
9*3 = 27
36-27 = 9
If it is helpful t

Rewrite 7[tex]x^{\frac{1}{2}[/tex] as a radical expression

Answers

basically, the denominator will always be the number outside of the radical and the numerator will always be your exponent. If it’s one, you don’t put it in because if there is no exponent, it’s an invisible one
The answer would be 7 square root x

A bag of

.5 red marbles

.6 blue marbles

.3 green marbles

.4 black marbles

.2 yellow marbles

A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?

Answers

The number of green and black marbles will be 15 and 20 black marbles respectively.

How to illustrate the probability?

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

We have the following information:

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

Total marble = 20 marbles

The number of green marbles:

= 3/20 × 100

= 15

The black marbles will be:

= 4/20 × 100

= 20

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PLS SOMEONE HELPP I NEED THIS ASAP

Answers

The rate of change for the graph, when x=0 and x=1 is 2 units.

What is average rate of change?

This expression represents the average rate of change of the function f(x) over the range a<=x<=b, is less than or equal to x, and is less than or equal to b -

[f(b)-f(a)]/b-a

The rate of change of graph is determined by the formula -

[f(b)-f(a)]/b-a

[f(1)-f(0)]/1-0

Here, in the graph it can be clearly seen that f(0)=-1 and f(1)=1.

Plugging in the values -

[1-(-1)]/1

(1+1)/1

2

Therefore, the rate of change is 2 units.

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Molly bought a large basket of 60 apples.

When she got home, she found 4 rotten

ones. If she goes back and buys 200 more

apples, how many rotten apples would she

expect there to be?

Group of answer choices

20

24

13

8

Answers

Step-by-step explanation:

1. 60 apples

2. 60-4=56

3. 56+200=256

200/60

60/4

60+60=120

120+60=180

I think either 13.

A solution set always includes...

A. all the numbers that make the inequality false.

B. all the numbers that make the inequality true.

C. zero and infinity.

D. negative infinity.

Answers

I think the answer is going to be a

Answer:

A

Step-by-step explanation:

i got the same answer and got ir right

Substitution method.
y=x - 5
y —3х – у = -3

Answers

Answer : ( 1, - 4 )

Explanation : y=x - 5

y —3х – у = -3

Step 1 : Consider the first eqaution. Subtract X from both sides.

y - x = -5

Step 2 : Consider the second eqaution. Combine y and -y to get 0 .

-3x = -3

Step 3 : Divide both sides by -3

x = -3 / -3

Step 4 : Divide -3 by -3 to get 1

x = 1

Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.

y - 1 = -5

Step 6 : Add one to both sides.

y = -5 + 1

Step 7 : Add negative 5 and one to get negative 4 .

y = -4

Therefore, the answer is ( 1, - 4 )

How do you multiply FG?

Answers

FG cannot be multiplied because it is not a numerical value.

Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.

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need help with this

Answers

It’s an acute angle but need help with what?

Answer:

im sorry what exsactly is the question?

Step-by-step explanation:

Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2

Answers

Answer:

$42.00

Step-by-step explanation:

Interest = principle x rate x time

Interest = 300 x .07 x 2

Interest = 42

Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2.65%. How much money is in the account after 3 years and 9 months?

Answers

Answer:

$821.2

Step-by-step explanation:

cause 2.65 percentage of 800 dollars is 800/100=8*2.65=21.2dollars.+800 =$821.2

Find the value of x. Round to the nearest tenth.

Answers

Sin 21 = x/30
x = 30sin21 = 10.75 = 10.8 (to nearest tenth)

Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as much on his pass as Alexis. Write an equation to represent this situation. How much do Jelani and Alexis have on their subway passes now?

Answers

Answer:

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

x = 20 i.e. Alexis

And, Jelani be 40

Step-by-step explanation:

Given that

Jelani has twice as much as Alexis

And, both can added $20

Jelani will have 1.5 times as much on his pass on Alexis

We need to write an equation also the amount does Jelani and Alexis have

So,

Let us assume the alexis be x

And, Jelani be 2x

Now

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

1.5x + 30 = 2x + 20

-0.5x = -10

x = 20 i.e. Alexis

And, Jelani be 40

The picture shows a shed. Find the length, AB, of the roof.​

Answers

The length AB of the roof is 3.20 m.

What is the Pythagorean theorem.

The Pythagorean theorem is one that can be used to determine the value of the unknown side of a right triangle when given two of its sides.

The theorem states that;

/Hyp/^2 = /Adj/^2 + /Opp/^2

Considering the given picture of the shed, draw a perpendicular to B from a point C on parallel line A. So that the length of AB can be referred to as the hypotenuse of triangle ABC.

Now applying the Pythagorean theorem, we have;

/Hyp/^2 = /Adj/^2 + /Opp/^2

/AB/^2 = /2/^2 + /2.5/^2

            = 4 + 6.25

/AB/^2 = 10.25

AB = (10.25)^ 1/2

AB = 3.20

Thus, the length of AB of the roof is 3.20 m.

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An ice cream factory makes 310 quarts of ice cream in 10 hours how many quarts could be made in 48 hours what was the ate per day

Answers

The factory can make 744 quarts of ice cream per day.

To find out how many quarts of ice cream could be made in 48 hours, we can use the principle of proportionality. Since the factory makes 310 quarts of ice cream in 10 hours, we can set up a proportion:

310 quarts / 10 hours = x quarts / 48 hours

To solve for x, we can cross multiply:

310 quarts * 48 hours = 10 hours * x quarts

x = (310 quarts * 48 hours) / 10 hours = 1480 quarts

So the factory could make 1480 quarts of ice cream in 48 hours.

To find the rate per day, we need to divide the number of quarts made per hour by the number of hours in a day. Since there are 24 hours in a day, we can calculate the rate per day as:

rate per day = (310 quarts / 10 hours) * 24 hours = (31 quarts/hour) * 24 hours = 744 quarts/day

So the factory can make 744 quarts of ice cream per day.

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Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost

Answers

23 dollar for each book

Answer:

each book cost=222-15=207/9=22.88 dollar

temperature of an oven in a laboratory rises until it reaches a maximum temperature of 32°C. The oven then stops heating and reactivates only when the temperature goes down to a minimum of 18°C. At 12:00 pm, the oven starts at room temperature, which is 18°C, and takes 3 hours to reach 32°C Write a function in the form 0(t)= Acos(bt)+c, that represents the temperature of the oven, O. in terms of the number of hours, t, since 12:00pm. Then, sketch the function on the provided grid for one full cycle. Be sure to scale your axes trig.

Answers

Answer:

123456789123345

Step-by-step explanation:

In direct variation where y = kx, if y = 18 and x = 4, what is the value of x when y = 36 ?

Answers

Answer:

18/4x36/x

18x=4x36

18x=144

x=144/18

x=8

Answer:

x = 8

Step-by-step explanation:

Given

y = kx ← k is the constant of variation

To find k use the condition y = 18, x = 4 , then

18 = 4k ( divide both sides by 4 )

4.5 = k

y = 4.5x ← equation of variation

When y = 36, then

36 = 4.5x ( divide both sides by 4.5 )

8 = x

Question 3: Use the graph to fill in the blank with the correct number. f(3) =
10A
5

0
5

-5.
-10%
Your answer

Answers

Answer:

f(3) = 2

Step-by-step explanation:

See the attached graph.  f(3) = ____ is asking us to find the value of the function, f, at the point x = 3.  At x = 3, the value of y is 2.

Clara baked a sheet cake with a length of 0.5 meters. She covered the cake in small 1 frosting polka dots that are the length of the cake. What is the approximate 100 length of a polka dot, in meters?​

Answers

Answer:

kkuguftfhbnkmom ugvtvtv uvbuub

* I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
A circle has a circumference of 10 millimeters. What is the circle's diameter? Use 3.14 for pi and round your answer to the nearest tenth.

Answers

Answer:

To find the diameter divide the circumference by pi

10÷3.14

=3.2 mm

Answer: C3.2

Explanation

60 workers can complete a work in 21 days. How long will it take to complete the some work if 10 more workers were added?​

Answers

Answer:

Step-by-step explanation:

set 1 is the work, then 60 works finish 1/21 per day. [tex]\frac{1}{21*60}[/tex] is the work for per workers. so, the days for 70 workers is [tex]\frac{21*60}{70}=18[/tex] days.

it will spend 18 days to complete

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

3 times one number minus a second is 8 and the sum of the numbers is 12

Answers

Answer: 3x-y=8

Step-by-step explanation:


Marshall has $8.25 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the number of quarters. How many nickels and how
many quarters does Ross have?

Answers

Answer:

where did Ross come from? is that just misplaced or what. or am I reading it all wrong

I need to know the andwer to 0.03 divided by 0.81 in division of decimals

Answers

Answer: 0.0370 (Italic part repeats forever)

Step-by-step explanation:

Answer: 0.037...

Step-by-step explanation:

Frank earns an annual salary of $42,800. He pays 8% in total taxes. How much money will Frank pay in taxes each year?

Answers

Answer:

$3424

Step-by-step explanation:

42800 x .08

.08 = 8%

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