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Elina [12.6K]
3 years ago
13

The equation of the line in this graph is y=____x +____  .

Mathematics
2 answers:
Nastasia [14]3 years ago
7 0
Y=3/2x+ 3 because the slope is 3/2 and the y intercept( where it touches the y axis) is 3
almond37 [142]3 years ago
4 0
The equation is y=\frac{3}{2}x+3
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Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
Inessa05 [86]

Answer:

The solution of the equations are -6 and 1

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- We want to find the solution of the equation (x + 2) (x + 3) = 12

- <em>At first lets use the Foil method to multiply the two brackets</em>

 (x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)

 (x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term

 (x + 2) (x + 3) = x² + 5x + 6

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∴ x² + 5x + 6 = 12

- Subtract 12 from both sides

∴ x² + 5x - 6 = 0

- <em>Factorize the left hand side</em>

∵ x² = (x)(x)

∵ -6 = 6 × -1

∵ 6x + -1x = 5x

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∵ (x + 6)(x - 1) = 0

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- Subtract 6 from both sides

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- Add 1 to both sides

∴ x = 1

∴ The solution of the equations are -6 and 1

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3 years ago
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