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2 years ago

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PLEASE HELP!!! Use composition of functions to determine whether f(x) and g(x) are inverses of each other. Show all work for ful

l credit.
F(x)= 4/5x +1
G(x)= 5x-5/4

1 answer:

Naddik [55]2 years ago

8 0

Yes the are inverse of each other

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The price that a company charged for a basketball hoop is given by the equation 50 - 5x^2 where x is the number of hoops that ar

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Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.

Explanation:

Let the number of basketball hoops did the company previously produce to make the same profit be x.

Total Revenue = Price * Quantity

The total revenue in million dollars is,

$\text{Total Revenue}=(50-5x^2)x$

$\text{Total Revenue}=50x-5x^3$

The total cost in million dollars is,

Total Cost = One unit cost * Quantity

$\text{Total Cost}=30x$

Profit = Total Revenue - Total Cost

$\text{Profit}=50x-5x^3-30x$

The profit is 15 million.

$15=20x-5x^3$

$5x^3-20x+15=0\\x^2-4x+3=0\\(x-1)(x^2+x-3)=0$

The value of x is 1 and $\frac{-1\pm \sqrt{13}}{2}$ .

The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.

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2 years ago

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Santa and his elves had a workshop that allowed them to produce 2 2 , 9 1 2 , 5 4 6 , 9 9 2 toys each year. The world population

denpristay [2]

New Workshop: 4,134,232,638,937
Old Workshop: 22,912,546,992

New/Old = 180.435

The new workshop can produce approximately 180 times as many toys as the old workshop.

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The mean GPA of student in a course at UCDevis is 3.2 with a standard deviation of 0.3. What percent of student in a course have

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Answer:

81.86%

Step-by-step explanation:

We are given that the mean GPA of students in a course at UC Davis is 3.2 with a standard deviation of 0.3.

Assuming that the data follows normal distribution.

Let X = GPA of students in a course at UC Davis

So, X ~ Normal()

The z score probability distribution for normal distribution is given by;

Z = ~ N(0,1)

where, = population mean GPA = 3.2

= standard deviation = 0.3

Now, the probability that the students in the course have a GPA between 2.9 and 3.8 is given by = P(2.9 < X < 3.8)

P(2.9 < X < 3.8) = P(X < 3.8) - P(X 2.9)

P(X < 3.8) = P( < ) = P(Z < 2) = 0.97725

P(X 2.9) = P( ) = P(Z -1) = 1 - P(Z < 1)

= 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 2 and x = 1 in the z table which has an area of 0.97725 and 0.84134 respectively.

Therefore, P(2.9 < X < 3.8) = 0.97725 - 0.15866 = 0.8186

Hence, 81.86% of students in the course have a GPA between 2.9 and 3.8.

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2 years ago

Egbert is making trail mix out of 18 bags of nuts and 9 bags of dried fruit. He wants each new portion of trail mixto be identic

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Answer:

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Step-by-step explanation:

18 bags of nuts

9 bags of fruit

2 bags of nuts mixed with 1 bag of fruit, multiply that by nine and you have no remainder on any of the bags

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A very small dinosaur, the Microraptor, was only 1.3 feet long, One of the larger dinosaurs, the diplodocus, was about 91 feet l

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Divide 90 by 1.3 and you will get your answer.

Do it yourself! just follow instructions!

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