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Eduardwww [97]
3 years ago
11

Find the x.intercept and the y.intercept of the graph of each quation. Then graph the equation

Mathematics
1 answer:
vovangra [49]3 years ago
7 0
X intercept is where the graph hits the x axis or where y=0
y intercept is where the graph hits the y axis or where x=0


3x-2y=-12

x intercept
set y=0
3x-0=-12
3x=-12
divide by 3
x=-4
x intercept is at x=-4 or (-4,0)



y intercept
x=0
0-2y=-12
-2y=-12
divide -2
y=6
y intercept is y=6 or (0,6)




xintercept: (-4,0)
yintercept: (0,6)
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Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

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The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

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