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3 years ago

Which statement is correct?

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:

hbw ygav

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 function which has the greatest rate of change is h(x)


So, the correct answer is option C) h(x)

4 0

4 years ago

Mr. Clements painted his barn during 3

VLD [36.1K]

Answer:

True vabvm,bvjBEFLJhvbhfvvgefyfe

Step-by-step explanation:

4 0

3 years ago

Does (2, -1) make this a true statement? Why or why not? 3x + 2y = 4

kvv77 [185]

Answer: Yes

Step-by-step explanation:

So a coordinate pair is always set up (x,y) so you plug the x term in the coordinate pair into the x in the equation and the y term in for the y. 3×2 + 2×-1. Multiply them together and you end up with 4.

3 0

3 years ago

1. A list of 8 numbers is formed such that each new number in the list is the product of the two previous numbers. Find the firs

nalin [4]

Answer:

1. 1/4 4 1 4 4 16 64 1024

2. 118

Step-by-step explanation:

1. 16 is obtained as 1024/64 = 16

before 16 goes: 64/16 = 4

before 4 goes: 16/4 = 4

before the second 4 goes: 4/4 = 1

before 1 goes: 4/1 = 4

before the third 4 goes: 1/4

2. From row 1 to row k, there are k² numbers (notice that rows finished in 1, 4, 9, etc., all perfect squares). 12² = 144, so 140 is on 12th row.

A number in row k is 2k less than the number directly below it. For example, 3 is on 2nd row, then is 2*2 = 4 units less than the number directly below it, which is 7.

The number above 140 is on the 11th row, then above 140 is 140 - 2*11 = 118.

8 0

3 years ago

Which expression has a value of 2 over 3?

sashaice [31]

Answer:

(8 + 24) - (12 x 4)

Step-by-step explanation:

4 0

3 years ago