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

Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.

Answers

Answer:

6 is this answers to find

Answer:

9 omelets

Step-by-step explanation:

She used 12 eggs in the morning so 39-12= 27 then 27/3 = 9

Hope that helps!

If you can could you help with 27-30 please

Answers

Answer:

27. 98% of 15 is 14.7 (rounding to the nearest tenth, this would be 15)

28. 250% of 25 is 62.5 (rounding to the nearest tenth, this would be 63)

29. 108% of $50 is $54

30. 75.2% of 130 is 97.76 (this would be 98)

Step-by-step explanation:

How to do This item ? help me please!!!!

Answers

Answer:

I don't know if this will be helpful but here,

Step-by-step explanation:

I need to solve for x

Answers

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)°  = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1  = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 +  5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.

5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Answers

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)

Distance describes how far an object has moved along its path.


Displacement describes how far an object has moved from its starting point to its final position.

Answers

Step-by-step explanation:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Answer:

Distance travelled by skateboard is 1.5 miles.

Displacement is 1 mile.

Tom made $90 for 5 hours of work.
At the same rate, how many hours would he have to work to make $126?

Answers

7 Hours

Step-by-step explanation:

Very simple, 90/5 is 18, so that means Tom makes 18 dollars an hour, multiply 18 by 7 and you get 126.

(Thanks and Brainiest Appreciated)

pls answer asap and correctly

Answers

Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

Please help
What is the measure of ∠ABC?

Answers

Answer:

180°

Step-by-step explanation:

PLEASE HELP IT’S DUE TMR

Answers

Answer:

a = 5/3 (1 1/3)

b = 16/3 (5 1/3)

c = 42/5 (8 2/5)

d = 20/9 (2 2/9)

Step-by-step explanation:

Can I have brainliest pls?

Select all solutions for the equation (3x + 5)(2x + 8) = 0

Answers

Answer:

Step-by-step explanation:

can someone help?! please (:

Answers

Answer:

30.7

Step-by-step explanation:

How much farther is Neptune from the Sun than Mars?

---Neptune is 30.7 astronomical unit(s) farther from the sun

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charged 2.49 for each ice cream cone and 24.99 for a birthday cake Jenna decides to buy a birthday cake and an ice cream cone for each of her friends. Jenna needs to determine the total cost for her birthday party.

Answers

Answer:

multiply the cost of the ice cream cones by the amount of friends then add the cost of the birthday cake.

example: (2.49 × n) + 24.99 = a

I would give you an answer but I dont have enough information, I'm sorry for the inconvenience.

help fast pleaseee
NO RANDOMS

Answers

a) is -18
b) is -20
c) is 18

Answer:

a) 6 × (-3) = – 18

b) (-5) × 4 = – 20

c) (-9) × (-2) = 18

Step-by-step explanation:

** Note;

[tex]( - ) \times ( - ) = ( + ) \\ ( + ) \times ( - ) = ( - )\\ ( - )\times ( + ) = ( - ) \\( + ) \times ( + ) = ( + )[/tex]

I hope I helped you^_^

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 6 feet.. Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer, stating the theorem you used. Show all your work. (5 points) Part B: The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)

Answers

Answer:

You didn't give us a picture to look at

Step-by-step explanation:

Subtract ​​using the number line.

−23−(−113)




−123

−23

−13

23

Answers

Answer:

The answer is 2/3

Step-by-step explanation:

Write the equation.Please help

Answers

Answer: y=3x

Step-by-step explanation:

We want an equation of the form y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0).

The slope: From the point (0,0), the braph goes to point (2,6). Slope is the rise (y) over the run(x): (6/2) or 3. The slope, m, is 3. b, the y-intercept, is 0. y is 0 when x is 0.

y=3x

(3)
(2)
2 m
5 m
2 m
5 m
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = (5 × 3) + (2 × 3) = 15 + 6 = 21

The perimeter = 2 + 3 + 5 + 5 + 3 + 2 = 20

please give me a brainliest answer

Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.

(please show your working)

a. On what page will that occur?
b.How many minutes have they read when Riley catches up?

Answers

Let's call kate, sara
And call riley ,henery

determine the value of x.

No links please!

Answers

Answer:

44.785

Step-by-step explanation:

F(105)=105/7 use the following functions to find f(105)

Answers

Answer:

F(105)  = 15

Step-by-step explanation:

105 ÷ 7 = 15

Hope this helps!

get these all right and ill give you a bonus of 75-100points

Answers

Answer:

1: -6m,

2: 10.3-12m,

3: 28a-7,

4: 5/8h+7

Step-by-step explanation:

so, a helpful thing with these, is to add like terms. with #4, we see that the letter m is with both of the numbers, and since we are adding a bigger negative to a positive, the answer will be a negative with the number. for 6, 2 numbers have an x, and 2 do not. so we add or subtract the like pairs, as in the ones with the letters, and then a separate one for the one with no letters. for the last one, you always want to have a "common denominator" which is the number on the bottom. because 8 is already on the bottom, and 4 is divisible by 8 by 2, we inversely multiply the top and bottom numbers for the "3/4" and would get "6/8" to match the bottom denominator for "1/8" hope this helps

Can someone help me please thank you

Answers

Di ko alam Yan sorry

Step-by-step explanation:

Bobo ako eh ML nalng Joke lang Tanong nalng kayo Ng iba

Answer:

152

Explination:

this is answer

Brainliest answer: thx(:

what x-6-5x plz help me

Answers

Answer:

−4−6

Step-by-step explanation:

State 4 solutions for the equation that is modeled by the graph.

Answers

Answer:

see explanation

Step-by-step explanation:

Any coordinate point that lies on the line is a solution , that is

(- 2, 8 ) , (0, 4 ) , (2, 0 ) , (4, - 4 )

An insurance agent earns a base salary of 32,000 and commission of 3% of his sale he also receives an additional fee of 16.00

Answers

Answer:

EHEHEHEHEHEHEHEGRGEHEHE

Step-by-step explanation:

22,324

please help!
-
-
-
-
-

Answers

The answer has to be in y-intercept form. Which is y=mx+b and b can also be neg. y=mx-b. The m is your slope and b is your y-intercept. So A’s slope counting from 3 on the y axis to 1 on the x-axis which is down 2 over 1 so it will be -2/1. And your y intercept is 3. The equation is y=-2x+3. For B its the same thing but no graph. Remember that slope is RISE over RUN. So since the number is on the bottom of the line the rise is 4 and the run is 1. So in this case 10 is your y-intercept. Which means you equation is y=4x+10.

A chess player played 44 chess games total. If he won 16 games, what is the ratio of the games. He lost to games he won​

Answers

28:16
can be simplified to: 7:4

Hope this helps, if you need further explanation feel free to ask in the comments of this answer, and if this was helpful please mark brainliest, thanks so much!
28:16 because you have to subtract 16 from 44 so that you can get the total games lost (28) so when you make the ratio it has to be in order from loses to wins which is 28:16

Hope this helped<3

The 4th term in an arithmetic sequence is 18 and 9th term is 43. Find the first 5 terms of the sequence

Answers

Answer:

3, 8, 13, 18, 23

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 and a₉ = 43 , then

a₁ + 3d = 18 → (1)

a₁ + 8d = 43 → (2)

Subtract (1) from (2) term by term, eliminating a₁

5d = 25 ( divide both sides by 5 )

d = 5

Substitute d = 5 into (1) for value of a₁

a₁ + 3(5) = 18

a₁ + 15 = 18 ( subtract 15 from both sides )

a₁ = 3 , then

a₂ = a₁ + 5 = 3 + 5 = 8

a₃ = a₂ + 5 = 8 + 5 = 13

a₄ = a₃ + 5 = 13 + 5 = 18

a₅ = a₄ + 5 = 18 + 5 = 23

The first 5 terms are 3, 8, 13, 18, 23

the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures

Answers

Answer:

The max is 85F

The min is 75F

Step-by-step explanation:

Happy To Help :)

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