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Mathematics, 15.04.2020 21:03 feliciagraham14

ANSWER EACH QUESTION FOR BRAINLIEST

(graphs are put in the order of the corresponding question)

1. Based on the graph, what is one solution of the equation f(x) = g(x)?
(the first graph listed below)

A. x = −3.5
B. x = −1
C. x = 0.25
D. x = −2

2.
The water usage at a car wash is modeled by the equation W(x) = 3x3 + 4x2 − 18x + 4, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.
(has no graph)

Write a function, C(x), to model the water used by the car wash on a shorter day.
A. C(x) = 2x3 + 2x2 − 18x − 11
B. C(x) = 3x3 + 2x2 − 18x + 11
C. C(x) = 3x3 + 2x2 − 18x − 11
D. C(x) = 2x3 + 2x2 − 18x + 11

3. A meteorologist collected data about wind speed in a city, in miles per hour, on consecutive days of a month. Her data is shown using the dot plot. Create a box plot to represent the data.
(second graph listed below)

A. minimum is at 9.2, the first quartile is at 9.3, median at 9.5, 3rd quartile at 9.8, maximum at 9.9

B. minimum at 9.1, first quartile at 9.2, median at 9.4, 3rd quartile at 9.7, maximum at 9.8

C. minimum at 9.1, first quartile at 9.3, median at 9.5, 3rd quartile at 9.6, maximum at 9.8

D. minimum at 9.1, first quartile at 9.2, median at 9.5, 3rd quartile at 9.7, maximum at 9.8

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

f(x) = 0.05x2 − 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)

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