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amm1812
3 years ago
11

Solve for x. x-2/4 - x+3/3 = -2

Mathematics
1 answer:
exis [7]3 years ago
7 0
The LCD is 12.  Thus, your 

(x-2)/4 - (x+3)/3 = -2 becomes  12((x-2)/4 - (x+3)/3 = -2), or

                                                    3(x-2) - 4(x+3) = -36

Then 3x - 6 - 4x - 12 = -36.  Combining like terms,

 -x = -36 + 18, or -x = -18, or x = 18.  

Check this result by subbing 18 for x in the given equation.

Please note:  You must use parentheses here as indicated to eliminate any ambiguity about order of operations and what divides into what.

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How to solve the inequality
beks73 [17]

Answer:

x\geq 19/6

Step-by-step explanation:

1. Multiply both sides by 6 (the LCM of 6,3)

5/2 + 3-x <= 2(x-2)

2. Simplify 5/2+3-x to 11/2-x

11/2 - x<=2 (x-2)

3. Expand.

11/2-x<= 2x-4

4. Add x to both sides.

11/2<= 2x-4+x

5. Simplify 2x-4+x to 3x-4.

11/2<=3x-4

6. Add 4 to both sides.

11/2+4<=3x

7. Simplify 11/2+4 to 19/2

19/2<=3x

8. Divide both sides by 3

19/2 /3 <=x

9. Simplify 19/2 /3 to 19/2*3

19/2*3<=x

10. Simplify 2*3 to 6

19/6<=x

11. Switch sides.

x>= 19/6

Hope this helps!

4 0
3 years ago
Find the mean of this set of numbers.<br><br> 7, –9, 6, –10, –13, –5
ivann1987 [24]
7+(-9)+6+(-10)+(-13)+(-5)=
7-9+6-10-13-5=
-24

mean is the sum of all the numbers divided by the total number of numbers within the data.

-24÷6=-4

The mean is -4.
5 0
3 years ago
A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.
NeTakaya

Answer:

The minimum cost is $9,105

Step-by-step explanation:

<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>

∵ C(x) = 0.5x² - 130x + 17,555

- Differentiate it with respect to x

∴ C'(x) = (0.5)(2)x - 130(1) + 0

∴ C'(x) = x - 130

Equate C' by 0 to find x

∵ x - 130 = 0

- Add 130 to both sides

∴ x = 130

∴ The minimum cost is at x = 130

Substitute the value of x in C(x) to find the minimum unit cost

∵ C(130) = 0.5(130)² - 130(130) + 17,555

∴ C(130) = 9,105

∵ C(130) is the minimum cost

∴ The minimum cost is $9,105

4 0
3 years ago
Simplify 2(x + y) + 3(x + y)
ANTONII [103]
The answer would be 5x+5y
5 0
3 years ago
Solve for the variable, please show work.
JulsSmile [24]
The answer is c = 0

Explanation, see the picture

7 0
3 years ago
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