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KATRIN_1 [288]
3 years ago
15

*WILL GIVE BRAINLIEST* the following function represents the production cost f(x), in dollars, for x number of units produced by

company 1:
f(x)=0.05x^2-7x+300

The following table 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

Based on the given information, determine which company has a lower minimum and find the minimum value.

a.) f(x) at (1, 899.50)
b.) g(x) at (70, 55)
c.) f(x) at (70, 55)
d.) g(x) at (1, 899.50)
Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

C.

Step-by-step explanation:

By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.

To find the minimum value, we want to find the y-coordinate of the vertex.

In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.

In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.

This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.

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The number of men and women participating in the Winter Olympic Games has been steadily increasing in recent years. In the 19th
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Using a system of equations, it is found that the correct option is:

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<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

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