Rationalize the denominator.
– 5x4
✓4x +7

Rationalize The Denominator. 5x44x +7

Answers

Answer 1
Answer:          (-5x⁴)(√(4x + 7))                                  4x + 7

Step-by-step explanation:

The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.

We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted  (√x × √x = x).

   - 5x⁴         ×      √(4x + 7)    =    (-5x⁴)(√(4x + 7))  

√(4x + 7)              √(4x + 7)                 4x + 7


Related Questions

HOW TO FIND A FRACTION OF THE ENGLISH ALPHABET IS A SET OF CONSENENTS

Answers

Answer:

21/26

Step-by-step explanation:

In the simplest categorization, English has 26 alphabets. Out of which, 5 are vowels and rest 21 are consonants.

so the fraction would be 21/26

What is 4t - t + 2=This is in combinding terms into equvilent equations

Answers

Answer:

=3t+2

Step-by-step explanation:

if you ONLY solve the equations the answer is (3t+2) but if you evaluate the equation and the answer together it's (9t+8). So which ever answer you were looking for there's two different choices for two different ways.

(you're welcome, and hope this helps) :)

The diagram below a triangle PQR on a Cartesian plane. Given the distance a Q from origin is 6 units

If the gradient of straight line PQ is 4/3 calculate y-intercept​

Answers

⸻➤[tex]{\pink{\tt{Mixedfarming}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex][tex]\sf\red{hope\:it\:helps\:you}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\pink{\mid{\fbox{\tt{your\:QUESTION}}\mid}}[/tex][tex]\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}[/tex]

[tex]\huge\red{\mid{\underline{\overline{\textbf{Solution\:࿐}}}\mid}}[/tex]

[tex] \frac{a}{b} [/tex][tex] \frac{a}{b} [/tex][tex] \frac{a}{b} [/tex][tex] \frac{a}{b} [/tex][tex] \frac{a}{b}

what are the equations to the graph
Can someone help me no bots or ill report ill also give brainly when their is 2 answer

Answers

The equations are y=3x-1 and y=-3x+5

I’ll try to solve it in the comments if you still have time

Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​

Answers

Answer:

The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.

Explanation:

1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

q
1
y=qx
P
Write x in terms of p, q and y.

Answers

Answer:

x = [tex]\frac{y}{pq}[/tex]

Step-by-step explanation:

y = pqx ( isolate x by dividing both sides by pq )

[tex]\frac{y}{pq}[/tex] = x

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Answers

Answer:

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Step-by-step explanation:

First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.

For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5

How does value of a affect the
parabola?

Answers

The parabola appears wider when |a| >1, the parabola appears thinner

When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards

Step-by-step explanation:

brainliest?

Help me please Asap

Answers

Answer:

it is the last one {-4, -1, 0, 1, 2}

Step-by-step explanation:

All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams

Answers

Answer: 1 slice is 9 grams

If 3 is 27 to find one slices you need to dived by 3.

3 slices divided by 3 slices is one slice.

27 grams divided by 3 is 9

So one slice is 9 grams

Kira is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges an initial fee of $35 and an additional 60 cents for every mile driven.
Company B charges an initial fee of $42 and an additional 50 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.

Answers

Answer:

m < 0.7

Miles less than 0.7

Step-by-step explanation:

Company A: 60m + 35

Company B: 50m + 42

60m + 35 < 50m + 42

60m - 50m < 42 - 35

10m < 7

m < 7/10 (0.7)

hi can anybody help thx!

What is the volume of air in a lab of dimensions 8 mx 5 m x 3 m?

What is the mass of the air? (Density of air = 1.3 kg/m3)

Answers

Answer:

Volume of air = 120 m³

Mass of air = 156 kg

Step-by-step explanation:

Volume of air in a lab of dimensions,

= 8 x 5 x 3

= 120 m³

Mass of the air ?

Given : Density of air = 1.3 kg/m³

Formula : -

Density = Mass / Volume

Mass = Density x Volume

= 1.3 x 120

Mass = 156 kg

HELPPPP PLEASEEEE will give brainliest ​

Answers

Answer:

I think it's the 3rd or fourth one. I'm not positive tho

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

,a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. 

PLEASE HELP NOW
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+6=5(x-3)
2

Answers

Answer:

answer is 21= 5x- y

Step-by-step explanation:

y+6=5(x-3)

y+6=5x-15

y = 5x-15-6

y = 5x-21

rearrange this equation as formAx+By=C

5X - y = 21

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

Answers

Answer:

[tex]12x^{2} -11x-5[/tex]

Step-by-step explanation:

1) Distribute

[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]

2) Distribute

[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]

3) Distribute

[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]

4) Subtract the numbers

[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]

5) Combine like terms

[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]

What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Answer: The slope of the line is 6.

You can use the distance formula to find the slope (Y2-Y1/X2-X1). You can plug in any two points seen on the graph into the formula. I will use (0,-1) and (1,5). When I plug in the values, 5-(-1)/1-0=6/1=6. So the slope of the line is 6.

:)

You spent a total of $63. How much will pay in 6% tax?

Answers

Answer:

You will pay $3.78 in tax. And you would pay a total of $66.78

Step-by-step explanation:

Answer: $3.78 or $66.78 if you are looking for the total amount including tax.

Step-by-step explanation:

6% can be represented by 0.06 so multiply that by 63

63*0.06=3.78

You will pay $3.78 in taxes

The total is 66.78 but I think you are asking for the tax.

Deshaun is estimating the weight of his mountain bike. The actual weight of his mountain bike is 11.3 kg. Deshaun's estimate is 12 kg.
Find the absolute error and the percent error of Deshaun's estimate. If necessary, round your answers to the nearest tenth.

Answers

Answer: Actual weight of his mountain bike is

16.4kg

. Deshaun's estimate is

15kg

...

Step-by-step explanation:

Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain

Answers

Answer:

YES

Step-by-step explanation:

For a triangle of sides a, b, c, we must have the following to be true to have a triangle.

a + b > c > |a - b|

b + c > a > |b - c|

a + c > b > |a - c|

if a=8, b=7, and c=9, we have that:

8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.

7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.

8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.

Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.

Which number line represents all of the values of x for the equation x2 = 36?

Answers

Answer:

D

Step-by-step explanation:

Please help me oh me a lot to me and you get a lot of points I think

Answers

Answer:

A. 0.2, 0.25, 0.2

B. the scores are a quarter of the whole

Answer:

so the three numbers can be turned into fractions.

1/5, 1/4, and 4/20.

fractions can be turned into decimals by dividing the denominator into the numerator.

now we have 0.2 , 0.25 , and 0.2

greatest to least, the numbers are 0.25 , 0.2 , and 0.2

(both 0.2s are equal, so order of those doesn't matter)

Step-by-step explanation:

⅕ of shots

Dwayne 25%

4 out 20

Write each score as decimal

Compare the three score.

How do you solve y=3x²-6x-1 using completing the square?

Answers

(B/2)^2 is the formula you need to complete the square
B is the second term which is -6
So let’s plug it into the formula
(-6/2)^2
(-3)^2= 9

can someone tell me the main idea for both of the story's yeh-shen and cinderella

Answers

Answer:

yeh-shen:

The theme in the story is that good things happen to good people and bad things befall on evil people.

cinderella:

Cinderella teaches the morals of kindness towards all, forgiving others for doing wrong, and never letting bad things ruin your heart. The themes of the story are good versus evil and luck changing your life.

Step-by-step explanation:

1. e(x) = 3 x -3, Find e(-6)

Answers

Answer:

e(-6) = -21

Step-by-step explanation:

Plug -6 into the equation and simplify.

3(-6) - 3

-18 - 3

-21

In each case use the new theorems to arrange the letters measures from greatest to least

Answers

Answer:

answer is a,b,c

Step-by-step explanation:

What is the value of r?

Answers

Answer:

its 40

Step-by-step explanation:

180-100=80

80/2= 40

The circle graph represents the after-tax budget for the Williams family. If the total monthly budget is $3050, which is the best estimate for the food budget?

Answers

The best estimate for the food budget will be the percentage of the food budget multiplied by $3050.

This is an incomplete question, therefore, an overview of the question will be given. Since you didn't provide the percentage of the food budget, let's assume that the percentage is given as 20%. Therefore, the food budget will be;

= 20% × $3050

= 0.2 × $3050

= $610

The food budget will be $610.

Read related link on:

https://brainly.com/question/25311515

4/100 fraction as percent

Answers

Answer:

4%

Step-by-step explanation:

have a lovely day <3

Answer:

4% is 4/100 as a percent

just take the fraction and turn it into a fraction out of 100 which this already is and then the percent is the numerator

the difference between 4x and 2x is 70. Find the 2x​

Answers

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

Other Questions
How might economic contribute to environmental problem such as cuyahoga river fires que tipo de argumento esLa ballena es un animal mamfero. 45 to 60 using percent of change unit. A large protein needs to enter a cell to help preform a function explain what process the cell must use to allow the protein to enter and why What could be the possible one's digit of the square root of 3721 ? 3 , 41 , 96 , 77 , 8 Complete the second sentences so that it has asimilar meaning to the first one HELPPPPP PLEASEEEEEEEEEEE What role did italy play in the crimean war Why did the Japanese seal almost all of their borders? A bouncy ball is dropped. The function h(n)=300(3/4)^n1 models the maximum height of the ball, in centimeters, after its nth bounce.Select EACH true statement about the scenario.[] The function represents a geometric sequence.[] The first term in the sequence is 300.[] The height of the ball after the first bounce is 300 cm.[] The ball is dropped from a height of 300 cm.*Multiple Choice* What is the difference?1x?+3x+2 (x+ 2)(x+1)(x+2)(x+1)X-16x+4-14x+21X+ 2x-1x + 3x+22 Who of the following is the best example of a "Renaissance Man"? A. Tom Brady is a football quarterback. He has won six Super Bowls and is considered to be the greatest quarterback in NFL history. B. Barack Obama served as the 44th President of the U.S. He was previously a senator and now continues to remain involved in politics. C. Mae Jemison is a NASA astronaut and was the first African American woman to go to space. She is a physician, engineer, dancer, and actress. D. Selena Gomez is a singer and actress. She rose to fame in Disney productions and continues to star in movies and produce pop music albums. PLSSS HLEPP ME OUTT ITS URGENTTTT How does Climate directly affect how people live in a country as well as how people interact with the place they live in? I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!! The following question has two parts. First, answer part A. Then, answer part B.Part A:Why did the author most likely choose the title Breaking Barriers for this text? A. to show that Elizabeth worked hard to make people like her B. to show that Elizabeth accomplished things never done before C. to show that Elizabeth proved to be smarter than those around her D. to show that Elizabeth tried to show she was the better than other doctorsPart B:Which sentences from the text best support your answer in part A? Select two options. A. Elizabeth loved learning, and she developed a passion for reading. B. When Elizabeth was 11 years old, her family moved to America. C. When she was just 16, she became a teacher. D. Finally, the Geneva Medical College in New York accepted her as a student. E. When people in town ignored the woman with the strange ambition, Elizabeth treated them in a polite, quiet manner. F. She became the first woman in the country to obtain a medical degree. Is Ayesha Erotica And Miss Luxury The same person? Define physical and chemical properties, provide three examples of each, discuss their reversibility, andexplain the fundamental differences between them. microorganisms are found in nearly every environment and are said to be Help if so omg ur amazing