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Sedbober [7]
2 years ago
6

Solve the Linear Quadratic system of equations y=x^(2)+2x-9 y=-2x+3

Mathematics
1 answer:
Debora [2.8K]2 years ago
3 0

9514 1404 393

Answer:

  (x, y) = (-6, 15) and (2, -1)

Step-by-step explanation:

You can start by subtracting the second equation from the first.

  (y) -(y) = (x^2 +2x -9) -(-2x +3)

  0 = x^2 +4x -12 . . . . . . collect terms

  0 = (x +6)(x -2) . . . . . . . factor

Solutions for x are -6 and +2. These values make the factors zero.

The corresponding solutions for y are ...

  y = -2(-6) +3 = 15

  y = -2(2) +3 = -1

Solutions to the system of equations are ...

  (x, y) = (-6, 15) and (2, -1)

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.(3x+1)(x-3)<br> Binomial
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3x^2−8x−3

Step-by-step explanation:

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3 years ago
Write a polynomial function in standard form with zeros at −3, −1, and 1.
Annette [7]

Answer:

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

Step-by-step explanation:

The given polynomial has zeros at:

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This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

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We expand the last two factors using difference of two squares.

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f(x) = {x}^{3}  - x+ 3 {x}^{2}  -3

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This is the standard form because it is now in decreasing powers of x.

8 0
3 years ago
Warm up. help please
vampirchik [111]
Exponents are similar in concept to multipication. Multiplication is repeated addition and exponents are repeated multiplication.
So x^3 = x*x*x
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Try the others For yourself!

3 0
3 years ago
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