Which function has an inverse that is a function?

A migrating bird flies 341 miles in 11 hours. How many miles can the bird fly in 6 hours?

Sedaia [141]

186 because you would divide 341 by 11 and you get 31 then multiply that by 6 and you get 186. Did this help?

8 0

3 years ago

A shipment To a warehouse consists of 4500 MP3 players the manager chooses a random sample of 50 MP3 players and finds that 7 ar

riadik2000 [5.3K]

Answer:

630 MP3 players are likely to be defective.

Step-by-step explanation:

Given:

A shipment to a warehouse consists of 4500 MP3 players the manager chooses a random sample of 50 MP3 players and finds that 7 are defective.

Now, to find the MP3 players which are likely to be defective.

Let the defective MP3 players be $x.$

Total MP3 players = 4500.

In sample of 50 MP3 players 7 are defective.

Now, setting the proportion:

If, 50 is equivalent to 7.

Then, 4500 is equivalent to $x.$

Now, to solve using cross multiplication method:

$\frac{50}{7} =\frac{4500}{x}$

By cross multiplying we get:

$50x=31500$

Dividing both sides by 50 we get:

$x=630.$

Therefore, 630 MP3 players are likely to be defective.

5 0

2 years ago

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Allushta [10]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

--------> inequality

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

--------> inequality

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N

Let

------> see the attached figure N

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality

------> is ok

inequality

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

5 0

2 years ago

Read 2 more answers

A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 17

Andrei [34K]

ANSWER

$363.6 \: miles$
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

$250 \: miles \equiv11 \: gallons$

Now we want to find how far he could go on 16 gallons.

$x \: miles \equiv16 \: gallons$

All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

$x = \frac{250 \times 16}{11}$

$x = \frac{4000}{11} = 363.6 \: miles$

Therefore the correct answer is C.

3 0

3 years ago

EASY MATH (no links or get reported)

katovenus [111]

Answer:

Find the Roots (Zeros) f(x)=x^3-6x^2+13x-20. f(x)=x3−6x2+13x−20 f ( x ) = x 3 - 6 x 2 + 13 x - 20. Set x3−6x2+13x−20 x 3 - 6 x 2 + 13 x - 20 equal to 0 0 .

Step-by-step explanation:

hope this helps

4 0

2 years ago