All categories

2 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

6 0

Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2, f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [-5 - 3] / [2-0]

= -8 / 2

= - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

You might be interested in

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

Tan(θ)/sec(θ) − cos(θ)

myrzilka [38]

Sin(theta)- cos(theta)

4 0

2 years ago

Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.

Taya2010 [7]

So 5 pounds=12.5
divide 12.5 by 5 to get dollars per pound
$2.5 per pouind

4 0

3 years ago

Read 2 more answers

How many solutions does -9(x+6)=-9x+108

trapecia [35]

Answer:

You can put this solution on YOUR website! ... equation 2: -10x + 6y = -108 ... to change both to positive 10x = 60 divide both sides by 10 10x/10 = 60/10 x = 6 .

Step-by-step explanation:

8 0

2 years ago

Plz help and show me the steps so I know how to do this!! thank you!!

Alex17521 [72]

Answer

6th of the power of 1 would be 5th power

Step-by-step explanation:

3 0

2 years ago