If f(x) = 3x²-4 and g(x) = x+2, find (f

A bag contains 4 white, 2 blue, and

7nadin3 [17]

Answer:

1/2 for red

2/3

b+w=1/2

r+w=5/6

Step-by-step explanation:

3 0

3 years ago

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Solve for x. Picture attached <br><br> Show your work please!!!

Iteru [2.4K]

The answer is going to be x=22

8 0

3 years ago

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A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was

mamaluj [8]

Solving a system of equations, we can see that:

Speed of the private jet: 168 mi/h
Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

P = speed of the private jet.
C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

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#SPJ1

6 0

2 years ago

A satellite orbits Earth at a rate of about 3,300 miles in 12 minutes. At this rate, how far does the satellite travel around E

Vaselesa [24]

16,500

60 minutes in an hour / 12 minutes = 5
5 * 3,300 = 16,500

7 0

3 years ago

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Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths

nekit [7.7K]

The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

Given that,

Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

We have to determine,

Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

According to the question,

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

$\rm Speed = \dfrac{Distance}{Time}$

Substitute the values in the equation,

$\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute$

If 1 mile = 5,280 feet, then his speed is,

$\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\$

And 1 minute = 60 seconds, then his speed is,

$\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second$

Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

For more details about Equation refer to the link given below.

brainly.com/question/971941

6 0

3 years ago

If f(x) = 3x²-4 and g(x) = x+2, find (f - g)(x).