What is the result when 4x3 + 4x² + 13x + 6 is divided by 2x + 1?
1 answer:
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Answer:
b)
Step-by-step explanation:
A is invertible if and only if det(A)≠0. Let's compute the determinant of A and find the values k for which it is nonzero.
Using Sarrus's rule, we obtain that
Note that the determinant is a quadratic equation on k, which can be factored as above.
Now the determinant is only zero if k=5 or k=2 (the zeroes of the quadratic polynomial). Therefore, if k≠2,5 the determinant is nonzero so A is invertible.
Answer:
C = 14
Step-by-step explanation:
If we graph the inequalities, the solution set of the constraints is the shaded area (see attached diagram).
The vertices of the shaded area are (0, 20), (6, 8) and (18, 0)
To determine the minimum value of C, substitute the values of x and y of each vertex into C = x + y:
at (0, 20): C = 0 + 20 = 20
at (6, 8): C = 6 + 8 = 14
at (18, 0): C = 18 + 0 = 18
Therefore, the minimum value is at (6, 8) ⇒ C = 14
