The sum of two numbers is 30. Their difference is 6. What are the numbers?
2 answers:
Answer:
Find out the numbers .
To prove
Let us assume that one number be x.
Let us assume that second number be y.
As given
The sum of two numbers is 30.
Than the equation becomes
x + y = 30
Their difference is 6.
x - y = 6
Thus two equation are .
x + y = 30 and x - y = 6
Subtracted x - y = 6 from x + y = 30
x - x + y - (-y) = 30 - 6
y + y = 24
2y = 24
y = 12
Put in the x - y = 6
x - 12 = 6
x = 6 + 12
x = 18
Therefore the two numbers are 12 and 18 .
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Answer:
where a>0.
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Step-by-step explanation:
The real zeros are the result of setting each factor of the polynomial to zero. By reversing this process, we find:
- zero -2 is factor (x+2)
- zero 1/2 is factor (2x-1)
- zero 3 is factor (x-3)
We write them together with an unknown leading coefficient a which is negative so -a.
where a>0
The leading coefficient of a polynomial determines the direction of the graph's end behavior.
- A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.
- A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.
- This graph has all odd multiplicity. The graph will cross through the x-axis each time at its real zeros.
To graph the the polynomial, begin in the left top of quadrant 2. Then draw downwards to the first real zero on the x-axis at -2. Cross the x-axis and then curve back up to 1/2 on the x-axis. Cross through again and curve back down to cross for the last time at 3 on the x-axis. The graph then ends going down towards the right in quadrant 4. It forms an s shape.