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KATRIN_1 [288]
2 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]2 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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PLEASE HELP
lilavasa [31]

Those two functions just miss each other so there are no real solutions.  Every polynomial with complex coefficients has complex solutions.

2x^2 + 2 = 3x

2x^2 - 3x = -2

2( x^2 - \frac 3 2 x) = -2

x^2 - \frac 3 2 x = -1

x^2- \frac 3 2 x+ (\frac 3 4)^2= -1 + (\frac 3 4 )^2

(x - \frac 3 4)^2 = -\frac 7{16}

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x = \frac 3 4 \pm \frac i 4 \sqrt{7}

x = \frac 1 4(3 \pm i \sqrt{7})


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2 years ago
Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.​
Ksju [112]

Answer:

no

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using the Factor theorem.

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loris [4]

<u><em>Answer:</em></u>

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