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pochemuha
2 years ago
7

Solve the following System Of Equations Using Substitution or Elimination Methods. Show Work.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
8 0

Answer:

There are two pairs of solutions: (2,7) and (-1,4)

Step-by-step explanation:

We will use substitution.

y = x^2 + 3

y = x +5

Since the second equation is equal to y, replace y in the first equation with the second equation.

y = x^2 + 3

x + 5 = x^2 + 3

Rearrange so that one side is equal to 0.

5 - 3 = x^2 - x

2 = x^2 - x

0 = x^2 - x - 2

You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).

a = 1, b = -1, c = -2

Zeros = \frac{-b + \sqrt{b^{2}-4ac }  }{2a} and \frac{-b - \sqrt{b^{2}-4ac }  }{2a}

Zeros = 2 and -1

Now that you have your x values, plug them into the equations to find their corresponding y values.

y = x^2 + 3

y = (2)^2 + 3

y = 7

Pair #1: (2,7)

y = x^2 + 3

y = (-1)^2 + 3

y = 4

Pair #2: (-1,4)

Therefore, there are two pairs of solutions: (2,7) and (-1,4).

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What is (-4x² + 3x + 3)(x² - 2x + 2) as a polynomial
gizmo_the_mogwai [7]

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

<h3>What is a polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

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5 0
1 year ago
5000+e2200000=I need help
valina [46]
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2200000
+    5000
-------------
2205000
6 0
3 years ago
Read 2 more answers
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