Question 7(Multiple Choice Worth 1 points) (08.05 MC)

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.15x2 − 6x + 400

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:

xg(x)
5075
6060
7055
8060
9075

Based on the given information, determine which company has a lower minimum and find the minimum value.
g(x) at (70, 55)
f(x) at (20, 340)
f(x) at (70, 55)
g(x) at (20, 340)

Option A.

Step-by-step explanation:

The given function is

Leading coefficient is positive, so it is an upward parabola. Vertex of an upward parabola is the point of minima.

Vertex of a parabola is

In the given function a=0.15, b=-6 and x=400.

At x=20,

So, minimum value of f(x) is 340 at x=20.

From the given table it is clear that the minimum value of g(x) is 55 at x=70.

Since 55 < 340, therefore, g(x) has a lower minimum values, i.e, (70,55).

Hence, option A is correct.

correct

step-by-step explanation:

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.