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notka56 [123]
2 years ago
11

Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z

Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

Answer:

I got -437

Step-by-step explanation:

Lets break it down.

12x - 3y4x - z

If you substitute the numbers for its given variable, you should get

12(3) - 3(13)4(3) - 5

Now, just multiply and subtract to simplify.

36 - 468 - 5

<u>-437</u>

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Step-by-step explanation:

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at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

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  • x = plane's speed
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  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

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  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
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  • 1720/40 = 40y/40      Do the division
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  • 9y = x                          x = 9*y  
  • 9*43 = x
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Step-by-step explanation:

Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)

By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.

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By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.

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