Answer:
In standard form the first equation is 3x + 4y = 12
Step-by-step explanation:
In order to find this, we need to solve for the constant and then eliminate the denominators.
y = -3/4x + 3
3/4x + y = 3
3x + 4y = 12
Answer: x - 5/x + 1
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 )
= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator
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
Answer:
Step-by-step explanation:
First, you have to substitute both functions into the equation to get:
Then, you distribute the negative sign in front of g(x) to get:
And finally, you add/subtract the x's that have the same power to get:
Answer:
16
Step-by-step explanation:
