Answer:
see below
Step-by-step explanation:
A cubic with a positive leading coefficient will have a general trend of upward to the right. (If the leading coefficient is negative, it will trend downward.) If there is only one real zero, it will cross the x-axis exactly once. There may or may not be two turning points, but there won't be any more than that. (There may be no turning points.)
The attached graph shows a couple of examples. The turning points and inflection points may be on either side of the x-axis.
Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation:
Answer:
53.63 feet
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.
The slope of the line is 2.
We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.
1. Negate
- Negate the slope, or switch the sign
- (+) 2 --> -2
2. Reciprocal
- Flip the numerator and denominator of the slope.
The perpendicular slope is -1/2, so the correct equation must be B.