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3 years ago

Please help! thank you to anyone who does:)

Mathematics

1 answer:

Sav [38]3 years ago

3 0

Answer: it is th

Step-by-step explanation:

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Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?

vodka [1.7K]

The average rate of change for the function f(x) can be calculated from the following equation
$\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }$

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ \frac{\pi}{2} } = \frac{4}{\pi}$

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = $\frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ 
\frac{\pi}{2} } = \frac{4}{\pi}$

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
   h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{1-(-5)}{ \frac{\pi}{2} }= \frac{6}{ 
\frac{\pi}{2} } = \frac{12}{\pi}$

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>

4 0

4 years ago

Tamara is considering two different groups for her relay-race team. Listed below are the different practice times, in minutes, r

neonofarm [45]

Add the times for each group together and divide by the quantity to find the averages and compare:

Average for green group is: 4.317

Average for blue group is 4.298

The blue group has a lower (faster) average .

Answer: the blue group

4 0

3 years ago

Is this correct?? if not pls tell me the correct answer

slava [35]

Yea it is correct I have to type at these 20 words or I can’t answer but yes u are correct

5 0

3 years ago

Who’s can help me with this, it is to hard

vazorg [7]

Answer:

x = 10

MB = 16

CM = 16

CB = 32

Step-by-step explanation:

Since it's the mispoint

2x - 4 = x + 6

Subtract x from both sides

x - 4 = 6

Add 4 to both sides

x = 10

MB = 2x - 4

MB = 20 - 4

MB = 16

CM = x + 6

CM = 16

CB = 16 + 16

CB = 32

3 0

3 years ago

What 12r+5s-7t+11r+9s-4r

AysviL [449]

Add the like terms.
12r+11r-4r= 19r
5s+9s=14s
-7t=-7t
19r+14s-7t

4 0

4 years ago