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Olin [163]
3 years ago
9

Which expression is NOT equivalent to 6x + (5x + 10)?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0
To find the answer test all the possible solutions
6x+(5x+10)
= 6x+5x+10
=11x+10

A) 11x+10

B) (6x+10)+5x
= 6x+10+5x
=11x+10

C) 5(x+10)+5x
= 5x+50+5x
= 10x+50, this is not equivalent. 

D) 6x+5(x+10)
= 6x+5x+50
= 11x+50, this is not equivalent either 
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Step-by-step explanation:

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What is the maximum number of possible extreme values for the function, F(x)=x^4+x^3-7x^2-x+6?
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Coming from a 6th grader but I hope this is right!

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3 years ago
Select the correct answer from each drop-down menu.
olganol [36]

The system of inequalities is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

(30, 90) is not a solution of that system, while (60, 160) is a solution.

<h3>How to get the system of inequalities?</h3>

We know that the revenue y is given by:

y ≤ -0.05x^2 + 6x

And we know that the costs are 1.5x + 45, and the revenue must be larger than that, so we also have the inequality:

y >  1.5x + 45

So the system is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

Now, the point (30, 90) means that we need to replace x by 30 and y by 90, replacing that in the second inequality, we will get:

90 > 1.5*30 + 45 = 90

90 > 90

This is false, so the point is not a solution of this inequality, meaning that the point is not a solution of the system.

For the second point we do the same: x= 60, y = 160, replacing that in the second inequality we get:

160 > 1.5*60 + 45 = 135

160 > 135

This is true, now we need to check with the other inequality.

160 ≤  -0.05*60^2 + 6*60 = 180

This is also true.

So the point (60, 160) is a solution to the system.

If you want to learn more about systems of inequalities, you can read:

brainly.com/question/9774970

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Answer:

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Step-by-step explanation:

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