Answer:
4 times 1 plus 3 equals 7
Step-by-step explanation:
Answer: I believe the answer is D(the last Choice)
Step-by-step explanation:
Answer:
f(x) has three real roots.
Step-by-step explanation:
f(x) has three real roots.
A third degree polynomial function with real coefficients has exactly 3 roots.
Furthermore, all complex roots come in pairs, either there is none, or there are exactly two conjugates, which are in the form e1+i(e2) and e1-i(e2) where e1 and e2 are polynomial expressions.
This also means that a third degree polynomial with real coefficients has at least one real root, or three.
Since we are given two real roots for the given polynomial, the third root cannot be complex alone, so the only possibility is that there are three real roots.
Ummm i ain’t sure but you could try to figure out the recipe of the boesack soup
Answer:
150 bikes, $10,500 minimum manufacturing cost
Step-by-step explanation:
5x^2 - 1500x + 123000 is represented by a parabolic graph that opens up. You could easily estimate the x value at which C(x) is at a minimum, as well as the smallest C(x) value.
Or you could do this problem algebraically by finding the vertex of the parabola. The results MUST be the same as before.
-b
The equation of the axis of symmetry of this curve is x = ---------
2a
... which here is x = 1500
--------- = 150 units (150 bikes)
2(5)
Evaluating C(x) (see the problem statement) at x = 150 leads to finding the minimum cost. I like to use synthetic division to evaluate polynomials. Here, the divisor would be 150 and the coefficients of the quadratic would be
5 -1500 123000
Setting up synthetic division, we get:
150 / 5 -1500 123000
750 -112500
--------------------------------------
5 -750 10500
The remainder is $10,500. This is the minimum cost of this manufacturing operation.
