How would I simplify radical expressions?

How Would I Simplify Radical Expressions?

Answers

Answer 1

[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]


Related Questions

If the polynomial
[tex] {x}^{19} + {x}^{17} + {x}^{13} + {x}^{11} + {x}^{7} + {x}^{5} + {x}^{3} [/tex]
is divided by (x² + 1), then the remainder is:
(a) 1
(b) x² + 4
(c) -x
(d) x

Please solve this for me. Spam free answer required. Thank you.​

Answers

Answer:

(C) - x

Step-by-step explanation:

Given polynomial:

x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³

Group as follows:

(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x = x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - x

As we see all terms have (x² + 1) as factor apart from the last one.

It means the remainder is - x

Correct choice is C

How long does it take him to make $375.25

Answers

where’s the root to the question

A town’s population increased from 25200 to 26460. Find the percent of increase.

Answers

Answer:

5%

Step-by-step explanation:

Based on the given conditions, formulate: (26460-25200)÷25200

Calculate the sum or difference: 1260/25200

Cross out the common factor: 1/20

Multiply a number to both the numerator and the denominator: 1/20 * 5/5

Write as a single fraction: 5/20*5

Calculate the product or quotient: 5/100

Rewrite a fraction with denominator equals 100 to a percentage: 5%

Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125

Answers

Answer:

an = 60 x 1/5^n-1

Step-by-step explanation:

correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.

Find 51% of the number 93.

Answers

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

[tex]\frac{51}{100}\times \frac{93}{1}[/tex]

[tex]=\frac{4743}{100\times \:1}[/tex]

[tex]=\frac{4743}{100}[/tex]

is 4.57691 rational?

Answers

Answer:

Possibly

Step-by-step explanation:

Depending on how the number is depicted, there are some easy tells. If the number is an integer, or a finite decimal, or decimal with an infinitely repeating portion (like ), or a fraction with integers, finite decimals, or repeating decimals

4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?

Answers

Answer:

Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.

Kimi and Jordan are each working during the summer to earn money in addition to

their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour

at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his

allowance is $16 each week.

Answers

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hourWeekly allowance = $8

So, the equation for Kimi's weekly earning is:

[tex]y =9x + 8[/tex]

Jordan

Earnings = $7 per hourWeekly allowance = $16

So, the equation for Jordan's weekly earning is:

[tex]y = 7x + 16[/tex]

Equate both equations

[tex]7x + 16 = 9x + 8[/tex]

Collect like terms

[tex]9x - 7x = 16 - 8[/tex]

[tex]2x =8[/tex]

Divide both sides by 2

[tex]x =4[/tex]

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

https://brainly.com/question/13729904

-4+6p+18+3p=9(p+1)+5

What is the answer?

Answers

Answer:

Step-by-step explanation:

Expand

-4 + 6px + 18 + 3p = 9p + 9 + 5

Simplify

14 + 9p = 9p + 14

Solve

Take away 14 from both sides

9p = 9p

p = p

p = 0

Step-by-step explanation:

as shown in the photo

p equals to p

Need help with properties if dilations homework

Answers

With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.

Slope = change I. Y over the change in X

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

Slope = 1

20 Points Please Help

Answers

1. 31, 37, 43, 49, 55

That’s all I know from this I apologize, I’m only a freshman in hs lol
Good luck and Merry Christmas, happy holidays

The lines represented by the equations y=-2x-6 and 2y+x=-16 are

Answers

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

Is there a relationship between deforestation and Global climate change

Answers

Answer:

There is a relationship between Deforestation and Global Climate Change.

Step-by-step explanation:

Deforestation is a cause of global climate change.

15.
n. F(n)


2. 5

7. 15625

9. 390625

Explicit:
Recursive:

Answers

Answer:

400

Step-by-step explanation:

i think

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? (1 point)

Answers

Answer: 5, -1/3 and 1/2

Did this question before and I have many study guide websites

13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
A) 100 is the maximum grade,
B) y equals your final grade..
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems

Answers

Answer:

A, B, D

Step-by-step explanation:

from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).

A and B and D and that’s it

rút gọn (x-4) (x-3) -x(x+5) +82

Answers

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

I giv Brainliest


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

The best answer is option C.

Step-by-step explanation:

Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...

Find the value of x.

Answers

Answer:

Step-by-step explanation:

The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.

3x = 2 * 48

3x = 96            Divide by 3

3x/3 = 96/3     Combine

x = 32

Solve for x. x^2+6x+9=0

Answers

Answer:

x=-3

Step-by-step explanation:

x^2+6x+9=0

Factor

(x+3)(x+3) =0

Using the zero product property

x+3 =0  x+3=0

x=-3   x=-3

Solution

x=-3

Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?

Answers

Answer:

$20,073.38

Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.

Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.

Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.

Find the greatest common factor. 54,81

Answers

27 is the greatest common factor

54: 1, 2, 3, 6, 9, 18, 27, and 54

81:  1, 3, 9, 27, and 81

Which graph shows a dilation?

Answers

the 1st and 3rd one shows dilation. mark me brainlist

can someone help me with this

Answers

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

Write the equation of the line with a slope of 2 and passes throug the point (4, 3).
Answer can be in either slope-intercept
form or point-slope
form

Answers

Answer:

y=2x-5

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as the Brainliest. Thank you.

The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is​

Answers

Answer:

2x+6

Step-by-step explanation:

Perimeter of a rectangle= 2(length + width)

12x+ 4= 2(length + 4x-4)

2(6x+2)= 2(length + 4x-4)

divide both sides by 2

6x+2= length+4x-4

length = 2x +6

×-2+2×+4+2×-2=180 what does x equal in this equation.

Answers

Answer:

x = 36

Here's how I got that:

   - Group like terms -

x - 2 + 2x + 4 + 2x - 2 = 180

                    ↓

      5x - 2 + 4 - 2 = 180

                    ↓

              5x = 180

 - Divide both sides by 5 -

         5x/5 = 180/5

                   ↓

               x = 36

~ That's all folks ~

-Siascon

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building

Answers

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.



Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8

Answers

Answer:

Step-by-step explanation:

i think that it is either -7 - -8 or -7 + 8 or -7+-8.

Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are

Expression a  = 7 - 8

Expression b = -8 - (-7)

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given,

Greg records deposit of $7

He records purchase of $8 b

Total change = 7 + (-8)

Expression a  = 7 - 8

Expression b = -8 - (-7)

Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Please help me on this it’s due tomorrow:(((

Answers

Answer:

Bro

Step-by-step explanation:

sorry

I cannot do each one. But I can go over how to do them. An explanation is more valuable than an answer

Think of slope as rise over run. How much does the line go up, every time it goes over. Simply find two points that are nice and even on the graph. Then count how much it goes up between these two point, and how much it goes over. Then write as rise over run. If the graph goes up to the right, then it’s positive. If it goes down to the right, then it’s negative

Y intercept is where the graph crosses the y axis. The intercept will be (0, y). It’s just the crossing point

I don’t know what the hell real world interpretation means. U will never use that again :)

For the equation, just put the last two things I went over together. I remember by saying y = move x plus begin. This stands for y=Mx+b
The move is the slope. Put in the fractional slope, which will be either positive or negative. Then write x. Then do the y intercept. Which is how far up or down on the y axis it starts.
For example. The equation for the first one is y=3x+6. It rises 6 for every time it goes over 12, which is simplified to 3/1. And it starts at y=6

Hope that helps. Sorry I won’t do each one
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