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gulaghasi [49]
3 years ago
10

The table shows values of of a function F(x). What is the average rate of change F(x) over the interval from X = 5 to x = 9? Sho

w your work

Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer: the average rate of change  is 4.

Step-by-step explanation:

The average rate of change is the slope. Therefore, you must use the following formula for calculate the slope:

m=\frac{y_2-y_1}{x_2-x_1}

As you can see in the table, when x=5, y=-2 and when x=9, y=14. Then the points you must substitute into the formula are:

(5,-2) and (9,14)

Then, you obtain:

m=\frac{14-(-2)}{9-5}=4

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2x + 3 = 4x^2<br> completing the square
ch4aika [34]

Answer:

\frac{1+\sqrt{13} }{4}, \frac{1-\sqrt{13} }{4}

Step-by-step explanation:

First, make them on one side of the formula in the form of ax^2+bx+c=0 which is 4x^{2} -2x-3=0

Next, insert the corresponding number in the quadratic formula, \frac{-b+\sqrt{b^{2}-4ac } }{2a}  ,\frac{-b-\sqrt{b^{2}-4ac } }{2a} , and the answer can be calculated.

6 0
1 year ago
A music club charges an annual membership of $35.65 plus $12.99 for each CD purchased. If Naomi's total bill for the year was 17
Luden [163]

Answer:

Step-by-step explanation:

178.54-35.65=142.89

then you do 142.89/12.99=11

She bought 11 CDs

6 0
2 years ago
Compare the costs of bike trips from the two companies
lakkis [162]

Answer:

Step-by-step explanation:

The answers is Scenic pathway has no sign up fee and a greater cost per day

7 0
2 years ago
a pollster wishes to estimate the proportion of united states voters who favor capital punishment. how large a sample is needed
olasank [31]

The sample size must be 543 so the sample proportion is will not differ by 5%

We are given the following in the question:

Margin of error = 5%

Confidence interval:

p ±z√(p'(1 - p')/n)

Margin of error =

p = ±z√(p'(1 - p')/n)

Since no particular proportion is given, we take

p' = 0.5

Z critical at α 0.02 is ± 2.33

Putting values, we get,

p = ±z√(p'(1 - p')/n)

2.33 x √(0.5(1 - 0.5)/n)

√n = 2.33x 0.5/0.05

n = 542.89 = 543

Thus, the sample size must be 543 so the sample proportion is will not differ by 5%

To learn more about confidence interval refer here

brainly.com/question/15712887

#SPJ4

3 0
1 year ago
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7% of his customer
Mrrafil [7]

Using the binomial distribution, it is found that there is a 0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 7% of his customers buy a magazine, hence p = 0.07.
  • A sample of 14 customers is taken, hence n = 14.

The probability that exactly 4 out of the first 14 customers buy a magazine is P(X = 4), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{14,4}.(0.07)^{4}.(0.93)^{10} = 0.0116

0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
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