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mr Goodwill [35]
3 years ago
7

2/3 (n - 6) = 5n - 43 PLEASE HELP! YOU WILL GET AT 12 POINTS SO PPLLLZZZ HELP

Mathematics
2 answers:
valkas [14]3 years ago
7 0
There are several methods you could use, to solve this problem. I'll show you ONE way :)
Working:
 - We need to expand the brackets first.
Thus,
multiply 2/3 to each term in side the bracket.
2 × n = 2n then divide 2n to the denominator. 
2n ÷ 3  becomes, 2/3n.
Following same method:
2 × -6 = -12
-12 ÷ 3 = -4
Answer for the expanded form is; 2/3n - 4 = 5n - 43.
From here, you need to place the like terms on one side of the equation.
So,
2/3n - 5n = -43 + 4
-13/3n = -39
Then divide the coefficent (-13/3) on both sides. 
n = 9

I'll upload a picture of my workings. It cuts of the question, but that's fine, you can still see the working out. Chur
Hope this makes sense :)



CaHeK987 [17]3 years ago
4 0
Solve for n by simplifying both sides of the equation, then isolating the variable
n=9
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Answer:

22x^2 -10xy + 12x

Step-by-step explanation:

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  10x^2 + 12xy + 4x

+ 12x^2 -22xy + 8x

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22x^2 -10xy + 12x

Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.

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3 years ago
Which number belongs to the solution set of the equation below? 8x=120
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please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up​
babunello [35]

Answer:

y'' =12x^2 -72=0

And solving we got:

x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}

We can find the sings of the second derivate on the following intervals:

(-\infty Concave up

x=-\sqrt{6}, y =-180 inflection point

(-\sqrt{6} Concave down

x=\sqrt{6}, y=-180 inflection point

(\sqrt{6} Concave up

Step-by-step explanation:

For this case we have the following function:

y= x^4 -36x^2

We can find the first derivate and we got:

y' = 4x^3 -72x

In order to find the concavity we can find the second derivate and we got:

y'' = 12x^2 -72

We can set up this derivate equal to 0 and we got:

y'' =12x^2 -72=0

And solving we got:

x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}

We can find the sings of the second derivate on the following intervals:

(-\infty Concave up

x=-\sqrt{6}, y =-180 inflection point

(-\sqrt{6} Concave down

x=\sqrt{6}, y=-180 inflection point

(\sqrt{6} Concave up

8 0
2 years ago
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