A classroom of children has 18 boys and 19 girls in which five students are chosen at random to do presentations. What is the pr
1 answer:
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Answer:
See picture attached
Step-by-step explanation:
The graph of a non-proportional linear relationship is a line that does not cross through the origin. The graph of a proportional linear relationship does.
Given the general expression of a line: y = ax + b, where a and b are constants, if b is equal to zero, the line cross through the origin, otherwise the line inercept y-axis at value of b.
Direct variation means that y = kx, where k is a constant, then is a proportional linear relationship.
Given a cell phone company charges $19.95 per month for the first 2G, then $5 per gig over the initial 2G; the graph is a non-proportional linear relationship because the cost is never zero and the graph does not cross through the origin.
Given a cell phone company charges $29.95 per month always, then the cost is never zero and the graph does not cross through the origin.
Answer:
Always
Always
Sometimes
Never
Step-by-step explanation:
P(X) + Q(X)
Sum of two polynomials is always a polynomial.
For example, Let P(x) = 3x² and Q(x) = 5x
P(x) + Q(x) = 3x² + 5x
This is again a polynomial.
In other words, we can say that Polynomial is closed under addition.
P(x) . Q(x)
Product of two polynomials is again a polynomial.
Let P(x) = 2x and Q(x) = a constant function, 5
Then the product = 10x, is again a polynomial.
Multiplication of two polynomials is closed.
P(x) / Q(x)
This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.
But let's say P(x) = 5x² and Q(x) = x.
=
= 5x, a polynomial.
So, is a polynomial sometimes.
We can, say Division is not always closed.
1/Q(x)
This could never be a polynomial. This is not even in the form of a polynomial. So, is never a polynomial.
Hence, the answer.
