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Shtirlitz [24]
2 years ago
12

What is a solution to the system? y = x^2 + 2x - 15 y – 4x = -12

Mathematics
1 answer:
astra-53 [7]2 years ago
5 0

9514 1404 393

Answer:

  (x, y) = (-1, -16) or (3, 0)

Step-by-step explanation:

Perhaps you want to solve the system of equations ...

  • y = x^2 +2x -15
  • y -4x = -12

Substituting the first expression for y into the second equation gives ...

  x^2 +2x -15 -4x = -12

  x^2 -2x -3 = 0 . . . . . . . . add 12

  (x -3)(x +1) = 0 . . . . . . .  factor

Solutions are the values of x that make the factors zero: x = 3, x = -1.

The corresponding values of y are ...

  y = -12 +4x

  y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}

The solutions to the system are ...

  (x, y) = (-1, -16) or (3, 0)

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Answer:

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Step-by-step explanation:

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final answer should be 36x^6/y^10

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2 years ago
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Answer:

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Step-by-step explanation:

The given system is

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It doesn't matter which method he used or which variable he eliminated first.

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3 years ago
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3 years ago
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3 years ago
Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va
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Answer:

2

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2(\frac{x+1}{a}) - 1 = \frac{(2x-1)+1}{a}

If you multiply both sides by <em>a</em>, you get   2<em>a</em>(\frac{x+1}{a}) - a = (2x-1)+1

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Add <em>a</em> to both sides                                    2<em>a</em>(\frac{x+1}{a})  = 2x +<em>a</em>

The two <em>a</em>s on the left cancel out                   2(x+1)=2x+<em>a</em>

Distribute the 2                                               2x+2=2x+<em>a</em>

Then subtract 2x from both sides                        2 = <em>a</em>

Therefore, <em>a</em> = 2

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