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

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

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) :)

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

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.

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

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.

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

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.

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

Answers

Answer:

D

Step-by-step explanation:

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

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:

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

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?

HELPPPP PLEASEEEE will give brainliest ​

Answers

Answer:

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

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

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

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

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.

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

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:

What is the value of r?

Answers

Answer:

its 40

Step-by-step explanation:

180-100=80

80/2= 40

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]

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)

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.

:)

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. 

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

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[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}

Help me please Asap

Answers

Answer:

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

Step-by-step explanation:

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

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:

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

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