Organize the angles from largest to smallest.

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

For more such questions on functions

https://brainly.com/question/10439235

#SPJ8

Answer:

Step-by-step explanation:

=6/3\(\sqrt{7}\) *3\(\sqrt{7}\)/3\(\sqrt{7}\)

=6*3\(\sqrt{7}\)/(3\(\sqrt{7}\))^2

=18\(\sqrt{7}\)/9*7

=18\(\sqrt{7}\)/63

=2\(\sqrt{7}\)/7

Answer:

happy to help, but c and d are not included in your question

Answer:The answer is 750

Step-by-step explanation:3885 of 750 can be written as:

3885/ 750

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

3885/750 × 100/100= (3885 × 100) over 750) × 1 over 100= 518/100

Therefore, the answer is 518%

If you are using a calculator, simply enter 3885÷750×100 which will give you 518 as the answer.

Answer:

$12.07

Step-by-step explanation:

Add all the numbers and this is the sum.

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer:

At simple interest it will be 939+939×6×0.08=$1389.72.

Step-by-step explanation:

Answer:

10°

Step-by-step explanation:

360/36 = 10

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

For more such questions on Number, click on:

https://brainly.com/question/30752681

#SPJ8

Answer:750 grams

Step-by-step explanation:

25*30=250 grams after 30 days

Answer:

About 51 miles per hour

Step-by-step explanation:

Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

Answer:

83,000

Step-by-step explanation:

Rounding to the nearest thousand requires you to look at the hundreds place. If it is iver 5, then round your thousandths place up 1. If it is lower than 5, you keep the thousand at the current number.

Answer:

Y=-4x 2

Step-by-step explanation:

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

Read more about average rate of change at

brainly.com/question/17131025

#SPJ1

\( \begin{cases} (-1, 2) \\ (-4, 3) \end{cases}\)

\(m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}\)

Substitute the coordinate points in.

\(m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3} \)

Hence, the value of m is - 1/3.

\(y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}\)

\( \large\boxed{m = - \frac{1}{3} }\)

Answer:

\(\frac{dy}{dx}=\frac{4}{3}x^{1/3}+e^x +\cos x\)

Step-by-step explanation:

\(\frac{d}{dx} x^{4/3}=\frac{4}{3}x^{1/3} \\ \\ \frac{d}{dx} e^x=e^x \\ \\ \frac{d}{dx} \sin x=\cos x \\ \\ \therefore \frac{dy}{dx}=\frac{4}{3}x^{1/3}+e^x +\cos x\)

Answer:

you now if you wont to find the value you can type distance calculator and see the points

Step-by-step explanation:

Answer:

the answer is approximately 28.28

Step-by-step explanation:

you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.

Answer:

12

Step-by-step explanation:

if this helped, please mark me as brainliest thank you!

12,

The multiples of 12 are 12,24,36,48,60,72

6,

The multiples of 6 are 6,12,18,24,30,36

After checking the numbers, the least multiple shared by the denominators is 12.

LCD = 12.

Check the picture below.

$4,031

1,085 + 2,946 = 4,031

After 7 weeks she would have the total of 119$

A. $381

B. 17 weeks

500-211=289/17=17

Answer:

School related questions please

Step-by-step explanation:

And thanks for telling me

Answer:

24 feet

Step-by-step explanation:

distance away is x

tan(20)=x/65

65*tan(20)=x

x=23.65806... feet

round to the nearest foot

x=24

f(x) is the quadratic function that is increasing quadratically, while g(x) is the exponential function.

To determine which function is most likely increasing quadratically, we can compare the differences between consecutive values of f(x) and g(x).

Looking at the values of f(x), we can see that the differences between consecutive values are as follows:

6 - 3 = 3

11 - 6 = 5

18 - 11 = 7

27 - 18 = 9

The differences between consecutive values of f(x) are increasing by 2 each time. This suggests that f(x) is likely increasing quadratically.

On the other hand, looking at the values of g(x), we can see that the differences between consecutive values are as follows:

9 - 3 = 6

27 - 9 = 18

81 - 27 = 54

243 - 81 = 162

The differences between consecutive values of g(x) are increasing significantly with each step. This indicates that g(x) is likely increasing exponentially rather than quadratically.

Therefore, based on the differences between consecutive values, it is most likely that f(x) is the quadratic function that is increasing quadratically, while g(x) is the exponential function.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ1

The complete question:

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing quadratically?

x  f(x)  g(x)

1    3      3

2   6      9

3   11    27

4  18   81

5  27   243

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ1