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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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mario62 [17]
(15, -8) :)
From C to midpoint you do (+10, -7), so you have to do that again to get to D
4 0
3 years ago
M(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))
AlexFokin [52]

Answer:

  • x ≠ 5

Step-by-step explanation:

<u>Given</u>

  • m(x) = 1/x
  • f(x) = 2x - 10

<u>Composite function</u>

  • m(f(x)) = 1/ (2x - 10)

<u>The denominator can't be zero</u>

  • 2x - 10 ≠ 0
  • 2x ≠ 10
  • x ≠ 5

5 0
2 years ago
A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5
Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element=\frac{1}{6}

We have to find that P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)

Total number of elements=6

C_1={1,2,3,4}

Number of elements in C_1=4

P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}

Using the formula

P(C_1)=\frac{4}{6}=\frac{2}{3}

C_2={3,4,5,6}

Number of elements in C_2=4

P(C_2)=\frac{4}{6}=\frac{2}{3}

C_1\cap C_2={3,4}

Number of elements in (C_1\cap C_2)=2

P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}

C_1\cup C_2={1,2,3,4,5,6}

P(C_1\cup C_2)=\frac{6}{6}=1

4 0
3 years ago
3/5 of of Garys fish are guppies. 1/6 of them are red. what fraction of guppies are red?
Anvisha [2.4K]

Answer:

The fraction of red guppies = 1/10

Step-by-step explanation:

Garys fish are guppies = 3/5

1/6 of them are red.

Number of red guppies = ?

To find the fraction of red guppies, we will multiply both the fractions.

Number of red guppies = 3/5 * 1/6

Number of red guppies = 3/30

Number of red guppies = 1/10

Thus the fraction of red guppies = 1/10 ....

7 0
3 years ago
Which expression has the same value as 4÷25?
Hatshy [7]

Answer:

We need the choices, since there are plenty equations with the same value.

Step-by-step explanation:

4/25=0.16

Whichever equation equals 0.16 is your answer.

6 0
3 years ago
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