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3 years ago

How do you simplify (2xy2)3

1 answer:

4 0

$(2xy^{2})^{3} = (2xy^{2})(2xy^{2})(2xy^{2})$
Now, we can just multiply it and obtain the result
$(2xy^{2})(2xy^{2})(2xy^{2})=(4x^{2}y^{4})(2xy^{2})=8x^{3}y^{6}$

I used law presented on this example
$2^{3}*2=2^{3}*2^{1}=2^{3+1}=2^{4}$

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Sketch the graph of each line: 6y-y=1

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3 years ago

In a group of 60 workers, the average salary is $80 a day per worker. if some of the workers earn $75 a day and all the rest ear

Softa [21]

The total number of workers that earn $75 per day is 48

<h3>What is average salary?</h3>

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

$\frac{75x + 100(60-x)}{60} =80$

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

x= 48

So, the total number of workers earn $75 per day is 48.

Learn more about the concept here:

brainly.com/question/21835898

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3 years ago

Solve real word problems involving comparing and ordering integers

nydimaria [60]

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How many solutions does this graph have?<br> 1<br> 3<br> 2<br> 0

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3 years ago

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Sphinxa [80]

Answer:

x=2.125

y=0

C=19.125

Step-by-step explanation:

To solve this problem we can use a graphical method, we start first noticing the restrictions $x\geq 0$ and $y\geq 0$ , which restricts the solution to be in the positive quadrant. Then we plot the first restriction $8x+10y\leq 17$ shown in purple, then we can plot the second one $11x+12y\leq 25$ shown in the second plot in green.

The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.

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3 years ago