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Natali [406]
3 years ago
7

Solve the system of equations.

Mathematics
1 answer:
sasho [114]3 years ago
8 0

Step-by-step explanation:

y = x² - 3x + 6

y = 2x + 6

y = y

x² - 3x + 6 = 2x + 6

x² - 5x = 0

x(x - 5) = 0

x = 0 and x = 5

y = 2x + 6 and y = 2x + 6

y = 2(0) + 6 and y = 2(5) + 6

y = 0 + 6 and y = 10 + 6

y = 6 and y = 16

(x1,y1) and (x2, y2) = (0,6) and (5,16)

Option → A

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Correct Answer:
First Option

Let the first integer be n.
Since the integers are consecutive, the integer next to n will be n+1
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Therefore, the three integers are:
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3 years ago
Use additive inverses and their properties to find the equivalent expressions
ella [17]

Answer:

1. -6 + (-3)

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Step-by-step explanation:

Given

See attachment

Required

Determine the additive inverse of each

The rule of additive inverse is as follows;

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  • And for any negative number (-n), the additive inverse is (n)

Using the above, the solution is as follows:

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Rule: <em>6 becomes -6 and - (-3) becomes +(-3)</em>

So, the additive inverse is -6 + (-3)

2.\ -6 -3

<em />

Rule: <em>-6 becomes 6 and -3 becomes 3</em>

So, the additive inverse is 6 + 3

3.\ 6 - 3

Rule: <em>6 becomes -6 and -3 becomes 3</em>

So, the additive inverse is -6 + 3

4.\ -6 - (-3)

Rule: -<em>6 becomes 6 and -(-3) becomes +(-3)</em>

So, the additive inverse is 6 + (-3)

<em />

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