Mathematics High School

Rewrite in simplest rational exponent from √x × [tex]\sqrt[4]{x}[/tex]

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Answer 1

Answer:

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors.

Related Questions

I need to know about the gradient

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Answer:

Step-by-step explanation:

Twelve more than a number is the product of -3 and 6. Translate using n

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Answer: n + 12 = -18 or n + 12= -3(6)

Step-by-step explanation:

12 more than a number means 12 is added to the number so the expression will be n + 12 and the product of -3 and 6 is the same as -3 times 6 which is -18 . n + 12 has to equal -18 .

n + 12 = -18 now subtract 12 from both sides

-12 -12

n= -30

So the number is -30

I NEED SERIOUS HELP NOW PLZ
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.

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Answer:

Step-by-step explanation:

Hello,

[tex](y-9)^2=(y-9)(y-9)=y^2-2*9*y+9^2=y^2-18y+81[/tex]

thanks

Answer:

yes

Step-by-step explanation:

PLEASE HELP meeeeeeee

Answers

Answer: Distance between x intercepts is 1 unit.

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Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

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In summary, we found...

x = 1 is the y intercept of f(x)x = 2 is the y intercept of g(x)

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

Using inductive reasoning, what number is the most reasonable conjecture for the next number in the pattern 27,23,19,15,

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Answer:

Step-by-step explanation:

The pattern here is to subtract by 4, so 15-4=11

What is the unit rate if a student reads 81 pages in 3 hours?

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Answer:

27 pages per hour

Step-by-step explanation:

81 pages divide by 3 hours. think of it as a fraction and divided 3 on both bottom and top then it gives you 27pages per hour as a fraction

1) f(x) = 3x - 4
g(x) – x2 + 3x
Find f(g(x))

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Answer:

x=4/3

Step-by-step explanation:

A water tank is 2/3 full. 40 litres of water are taken from the tank. The tank is now 1/2 full. How many litres does the tank hold when full?

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⅔ - ½ = 4/6 - 3/6 (make denomenator the same)

= 1/6

Thus, 1/6 = 40 litres

A full tank is 6/6 which equals to 1 whole

So,

1 unit (from 1/6) = 40 litres

6 units (from 6/6) = 40 × 6

= 240 litres

Therefore, the tank holds 240 litres when it is full.

( i hope my solution helps :3 )

The number of liters does the tank hold when full is 240 liters.

Number of liters

Formulate

x=40÷⅔ - ½

Let find the common denominator

x=40÷4-3/6

Calculate the sum or the difference

x=40÷1/6

Divide the fraction

x=40×6

x=240 liters

Inconclusion the number of liters does the tank hold when full is 240 liters.

Learn more about number of liters here:https://brainly.com/question/24928841

Please help, Solve Systems of Linear Equations

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Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system: