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erik [133]
2 years ago
7

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify and leave in radical form.

Mathematics
2 answers:
Scrat [10]2 years ago
6 0

Answer:

4√(xy³)

Step-by-step explanation:

8√(x²y⁶)

The above expression can be simplified as follow:

8√(x²y⁶)

Recall:

m√a = a^1/m

Therefore,

8√(x²y⁶) = (x²y⁶)^1/8

Recall:

(aⁿ)^1/m = a^(n/m)

Therefore,

(x²y⁶)^1/8 = x^(2/8)•y^(6/8)

= x^1/4•y^3/4

= (xy³)^1/4

Recall :

a^1/m = m√a

Therefore,

(xy³)^1/4 = 4√(xy³)

Therefore,

8√(x²y⁶) = 4√(xy³)

Fudgin [204]2 years ago
4 0

Step-by-step explanation:

You might be interested in
7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x
bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20

Revenue:

The revenue is given by the following equation:

R = 15x

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

\frac{4x}{3} + 20 = 15x

15x - \frac{4x}{3} = 20

\frac{45x}{3} - \frac{4x}{3} = 20

Multiplying everything by 3

45x - 4x = 60

41x = 60

x = \frac{60}{41} = 1,...

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

[

7 0
3 years ago
Which equation can be used to solve for I in the following diagram?
vaieri [72.5K]
The answer is the the 3rd option! Hope this helps!
4 0
2 years ago
At which approximate x-value are these two equations equal? A. 0. 5 B. 0. 8 C. 1. 2 D. 1. 4.
Alinara [238K]

Answer:

What are the two equations?

Step-by-step explanation:

Once u answer that I'll edit this and answer ur question :)

5 0
2 years ago
13. Solve the equation: y = 4x + ax + 6 for a.
I am Lyosha [343]

Answer:

a= (y-4x-6)/X

Step-by-step explanation:

Make ax the subject of the formulae

-ax=4x+6-y

Multiply both sides by minus (-)

ax= y-4x-6

Divide both sides by x

a= (y-4x-6)/x

4 0
3 years ago
The profit P (in thousands of dollars) for an educational publisher can be modeled by P 52b31 5b21b where b is the number of wor
Anna007 [38]

Answer:

The lesser number of workbooks are 1,000

Step-by-step explanation:

The correct question is

The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?

we have

P=-b^3+5b^2+b  

For P=\$5,000

substitute in the equation and solve for b

Remember that the profit and the number of workbooks is in thousands

so

P=5

5=-b^3+5b^2+b

Using a graphing tool

Solve the cubic function

The solutions are

x=-1

x=1

x=5

therefore

The lesser number of workbooks are 1,000

<u><em>Verify</em></u>

For b=1

P=-(1)^3+5(1)^2+1  

P=5  -----> is in thousands

so

P=\$5,000 ----> is ok

7 0
3 years ago
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