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mixas84 [53]
3 years ago
14

100 POINTS!!! See picture for math problem, please show work.

Mathematics
2 answers:
Lelechka [254]3 years ago
6 0

Answer:

no solution

Step-by-step explanation:

3(x-2) = 3x-2  

x(3) -2(3) = 3x-2

3x -6 = 3x - 2  (subtract 3x from both sides)

-6 = -2

it is obvious that this is a false statement  (-6 is obviously not equal to -2)

hence this equation has no solution.

rosijanka [135]3 years ago
3 0

We can solve or simplify the equation to find if an equation has one solution, no solutions, or infinitely many solutions.

3(x-2) = 3x-2

Use the distributive property on the left side of the equation

3x-6=3x-2

Subtract both sides by 3x

3x-3x-6=3x-3x-2

-6=-2

Realize how weird our final output is? -6 does NOT equal -2. Since there's no way we could've solved for x and the final output isn't true, this equation has no solutions.

This means that the graph of lines are parallel in the coordinate plane and never intersect.

Let me know if you need any clarifications, thanks!

~ Padoru

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Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars says they will pay him $500 per week
Arisa [49]

Answer:

  $20,000

Step-by-step explanation:

You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:

  2.5%(car price) = $500

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If you prefer, you can get there with equations.

At Job 1, the pay is ...

  y = 10%×(car price)

At Job 2, the pay is ...

  y = 7.5%×(car price)

Setting the equal (the two opportunities pay the same), we have ...

  0.10(car price) = 500 +0.075(car price)

  0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)

  car price = 500/0.025 = 20,000 . . . . divide by 0.025

Jim would have to sell a $20,000 car each week for the jobs to pay the same.

8 0
3 years ago
the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?
kvasek [131]

Answer:

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Step-by-step explanation:²

The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius.  Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.

The formula for the area of a circle is A = πr².

Here, with r = 4, the area is A = π(4 units)² = 16π units², or

50.27 units² to the nearest hundredth.

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