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nikklg [1K]
2 years ago
5

F (x) = |x + 3| -1 . Find the average rate of change from x = -6 to x = 8

Mathematics
1 answer:
Elenna [48]2 years ago
3 0
Average rate of change is (f(8) - f(-6))/(8 - (-6)) = ((<span>|8 + 3| -1) - (</span><span>|-6 + 3| -1))/(8 + 6) = ((</span><span>|11| -1) - (</span><span>|-3| -1))/14 = ((11 - 1) - (3 - 1))/14 = (10 - 2)/14 = 8/14 = 4/7</span>
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Find the average rate of change for the function f(x)=3.2 + 25
wel

The average rate of change of the function is: 3.2.

<h3>What is the Average Rate of Change for a Function?</h3>

Average rate of change = \frac{f(b) - f(a)}{b - a}

Given the function, f(x) = 3.2x + 25, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:

a = 2

b = 6

f(a) = f(2) = 3.2(2) + 25 = 31.4

f(b) = f(6) = 3.2(6) + 25 = 44.2

Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.

Learn more about average rate of change on:

brainly.com/question/11627203

3 0
2 years ago
15+b=23 what’s the answer
Vanyuwa [196]

Answer:

b = 8

Step-by-step explanation:

23 - 15 = 8

5 0
3 years ago
Read 2 more answers
Questione Simplify Cosa + 2Cos(a +240")​
melamori03 [73]

Step-by-step explanation:

\cos(a)  + 2 \cos(a + 240)

\cos(a)  + 2 \cos(a)  \cos(240)  -  \sin(a)  \sin(240)

\cos(a)  + 2( -  \frac{ \cos(a) }{2}  +   \frac{ \sqrt{3} }{2}   \sin(a) )

\cos(a)  -  \cos(a)  +  \sqrt{3}  \sin(a)

\sqrt{3}  \sin(a)

If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.

7 0
2 years ago
A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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3 years ago
Is 1 4/6 an irrational number ?
Elena-2011 [213]

Yes it is rational number becauseit it s fraction

8 0
2 years ago
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