Answer:
The polynomial 3x² + x - 6x + 3 is a prime polynomial
How to determine the prime polynomial?
For a polynomial to be prime, it means that the polynomial cannot be divided into factors
From the list of options, the polynomial (D) is prime, and the proof is as follows:
We have:
3x² + x - 6x + 3
From the graph of the polynomial (see attachment), we can see that the function does not cross the x-axis.
Hence, the polynomial 3x² + x - 6x + 3 is a prime polynomial
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Answer:
1/4
Step-by-step explanation:
1/2 first coin
1/2 second coin
Multiply them
1/4
Answer:
-9
Step-by-step explanation:
eq.of line is
y+6=(3+6)/(4-1) ×(x-1)
y+6=3(x-1)
y+6=3x-3
y=3x-3-6
y=3x-9
Answer: x=4 and y=3
Step-by-step explanation:
We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.
Answer:
38
Step-by-step explanation:
The simplest (almost trivial) solution is to add the two inequalities:
(x +3y) +(3x +2y) ≤ (13) +(25)
4x +5y ≤ 38
The maximum value of P is 38.
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Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).
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In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.