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Paul [167]
3 years ago
9

What does 4(m-2)=2(m-9) equal

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

m = -5

Step-by-step explanation:

Simplify both sides of the equation.

4(m−2)=2(m−9)

(4)(m)+(4)(−2)=(2)(m)+(2)(−9)(Distribute)

4m+−8=2m+−18

4m−8=2m−18

Subtract 2m from both sides.

4m−8−2m=2m−18−2m

2m−8=−18

Add 8 to both sides.

2m−8+8=−18+8

2m=−10

Divide both sides by 2.

2m/2 = -10/2

m = -5

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Solve the inequality for z-9< 15. Simplify your answer as much as possible.
Fiesta28 [93]

Answer:

z < 24

Step-by-step explanation:

5 0
2 years ago
4. The revenue of a company for a given month is represented as ????(x) = 1,500x − x^2 and its costs as ????(x) = 1,500 + 1,000x
mrs_skeptik [129]

Answer:

The profit will be maximum on x = 250.

Step-by-step explanation:

From the given information:

Revenue = 1500x - x²

Cost = 1500 + 1000x

As we know that

Profit = Revenue - Cost ; Let say it equation 1

Then after putting the values of revenue and cost in equation 1 we have:

Profit = (1500x - x²) - (1500 + 1000x)

Profit = 1500x - x² - 1500 - 1000x

Profit = -x² + 500x - 1500

We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:

d(Profit)/dx = d/dx(-x² + 500x - 1500)

d(Profit)/dx = -2x + 500

By putting the above slope equal to zero we get:

d(Profit)/dx = -2x + 500 = 0

-2x + 500 = 0

-2x = -500

x = 250

Therefore it is concluded that the profit will be maximum when x will be equal to 250.

4 0
3 years ago
Amy has some money in her checking account. If she writes a check for $42.50, her checking account will be overdrawn by $23.75.W
Bingel [31]
You have to subtract 23.75 from 42.50 to get your answer of 18.75
3 0
3 years ago
can someone explain this to me? thank you! (and I do apologize for it not being the correct way before, I didn't do that on purp
Kisachek [45]
D = 1/2 a t^2 is given. And it wants you to find t in terms if a and d. Which means, you need to arrange the equation and let t be alone.

If you let t^2 alone ;

2d/a = t^2

And square root t^2 will give you t ;
SquareRoot(2d/a) = t

The answer is (2)
8 0
3 years ago
5
atroni [7]

Answer:

I believe the question says "5j + 16 - 12(-9j - 4) - 12j"  I hope I'm correct because I have almost no idea what you typed.

If you did type "5j + 16 - 12(-9j - 4) - 12j" then your answer would be 133j + 52 I believe. You never put how you would like your problem to be solved, so I simplified.

Step-by-step explanation:

Hope this helps.

5 0
2 years ago
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