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:
-3 ≤y≤6
Step-by-step explanation:
The range is the output values or the y values
The y values go from -3 to 6 including these values
-3 ≤y≤6
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Answer:
Number of families will have both radio and television = 44
Step-by-step explanation:
Given:
Number of family have radio = 794
Number of family have TV = 187
Number of family haven't both = 63
Find:
Number of families will have both radio and television
Computation:
Number of families will have Tv or radio = 1,000 - 63
Number of families will have Tv or radio = 937
Number of family have one of them = 794 + 187
Number of family have one of them = 981
Number of families will have both radio and television = 981 - 937
Number of families will have both radio and television = 44
Since y=k, there is a slope of zero, which is just a horizontal line k units from the x-axis. In this case k=-5, so the graph of y=-5 is a horizontal line 5 units below the x-axis...
