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3 years ago

Given f(x)=x - 1/x and g(X)+ 1/x. what is f(g(1/2))?

Mathematics

1 answer:

Debora [2.8K]3 years ago

3 0

Assuming the plus sign is supposed to be an equal sign, the answer is 3/2. If not, the answer is 21/10.

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How many solutions does y=−2x−4<br> y=3x+3 have<br><br>

Wewaii [24]

Answer:

There is one solution

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3 years ago

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What is the value of a1 of the geometric series? Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 12 (negative o

worty [1.4K]

Answer:

Step-by-step explanation:

The given geometric series is

$\sum_{n = 1}^{ \infty} 12( { - \frac{1}{9} })^{n - 1}$

We want to determine the first term of this geometric series.

Recall that the explicit formula is

$a_{n} = 12( { - \frac{1}{9} })^{n - 1}$

To find the first term, we put n=1 to get:

$a_{1} = 12( { - \frac{1}{9} })^{1 - 1}$

This gives us:

$a_{1} = 12( { - \frac{1}{9} })^{0}$

$a_{1} = 12(1) = 12$

Therefore the first term is 12

6 0

3 years ago

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The center of mass of a triangular solid is at its what?

Leya [2.2K]

I believe it is vertex

7 0

3 years ago

A 20-person fraternity is making their weekend plans around 5 different parties in IV. Each brother will attend exactly one of t

skad [1K]

Answer:

3876

Step-by-step explanation:

Given the following :

Fraternity members = 20

They are to attend 5 different parties in groups of 4

Meaning a group = 4 persons

Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).

Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.

Group members are in 4's

19C4

From: nCr = n! /(n-r)! r!

19C4 = 19! / (19 - 4)! 4!

= 19! / 15! 4!

= (19 * 18 * 17 * 16) / (4 * 3 * 2)

= 93024 / 24

= 3876

3 0

3 years ago

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid

NeX [460]

Options were not present in the question we are Stating below;

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

$34 = 10 - 4x\\\\34 = 4 + 10x\\\\34 = 10 + 4x\\$

Answer:

$34 = 10 + 4x$

Step-by-step explanation:

Given:

Amount customer paid = $34

Initial fee = $10

Hourly rate = $4

We need to write the equation used to find how many hours, x, the customer rented the bike.

Solution:

Let the number of hours customer rented the bike be 'x'.

Now we can say that;

Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.

framing in equation form we get;

$34 =10+4x$

Hence The equation used to find number of hours customer rented the bike is $34 =10+4x$ .

6 0

3 years ago