3128 ÷ 4= 9632 ÷ 8 = please explain how u got it please explain how u got it =

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] $ y =

Advocard [28]

Answer:

The answer is " $\frac{5 e^{5\sqrt{x} }}{2\sqrt{x}}$ ".

Step-by-step explanation:

Given:

$y = e^{{\color{\red}5}\sqrt{x}}$

let

$\to t= 5\sqrt{x}\\\\\frac{dt}{dx}= 5 \frac{1}{2\sqrt{x}}\\\\\frac{dt}{dx}= \frac{5}{2\sqrt{x}}\\\\$

and

$\to y=e^t\\\\\to \frac{dy}{dt}=e^t\\$

$\to \frac{dy}{dt}=e^{5\sqrt{x} }\\$

So,

$\to \frac{dy}{dx}= \frac{dy}{dt} \times \frac{dt}{dx}$

$=e^{5\sqrt{x} }\times \frac{5}{2\sqrt{x}}\\\\= \frac{5 e^{5\sqrt{x} }}{2\sqrt{x}}$

OR

$\to g(x) = 5\sqrt{x} \\\\\to f(x) = e^{(x)}\\\\$

Derivate:

$\to f''g' = \frac{e^{(5\sqrt{x})}5}{(2\sqrt{x})}$

5 0

3 years ago

There are 3 baseball to every 5 tennis balls. How many baseballs will there need to be if there are a total of 80 tennis and bas

ser-zykov [4K]

Answer:

30 tennis balls

Step-by-step explanation:

30 to 50 is equal to 3 to 5. And if there are 30 baseballs for every 50 tennis balls, and there are 80 balls in total, well...

30+50=80

So there are 30 tennis balls

4 0

3 years ago

Tyler deposited $300 into his bank account. He

Yakvenalex [24]

Answer:

300-150

Step-by-step explanation:

300 deposited into bank account (+)

150 taken out of bank account (-)

8 0

3 years ago

If a ball is kicked with a speed of 2.5 m/s, how long does it take the ball to move 40 meters? (no units required for your answe

noname [10]

Answer:

16

Step-by-step explanation:

40 divided by 2.5 equals 16

4 0

3 years ago

Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art

elixir [45]

Answer:Let x represent the number of people

:

A) Regular Cost = 40x

:

B) Group Cost = 25x + 150

:

C) equation graph A is the red line, B is the green line

x axis(each tick mark is one person), y axis(each tick mark is $100)

+graph%28+300%2C+200%2C+0%2C+15%2C+0%2C+600%2C+40x%2C+25%2Ax+%2B150%29+

:

D) The admission prices are the same when there are 10

people and the cost is $400

:

E) 6 people, regular price = 40 * 6 = $240

6 people, group price = (25 * 6) + 150 = $300

:

F) We look at the graph of the two cost functions

The regular cost function is cheaper when we have less than 10 people

The group cost is cheaper when we have more than 10 people

:

G) we solve each cost function for x when the cost is $300

40x = 300

:

x = 7.5 people

:

25x + 150 = 300

25x = 150

x = 6

:

regular price allows us to bring 7 people, one person more than group price

Hope this helps! ~ Autumn :)

5 0

3 years ago

3128 ÷ 4= 9632 ÷ 8 = please explain how u got it please explain how u got it=