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BaLLatris [955]
2 years ago
5

how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of poi

nts to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible
Mathematics
1 answer:
deff fn [24]2 years ago
7 0

Step-by-step explanation:

You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following

<em>The</em><em> </em><em>exterma</em><em>:</em><em> </em><em>The</em><em> </em><em>maximum</em><em>/</em><em>minimum</em><em> </em><em>points</em><em> </em><em>on</em><em> </em><em>a</em><em> </em><em>certain</em><em> </em><em> </em><em>interval</em><em>.</em><em> </em>

<em>The</em><em> </em><em>zeroes</em><em>:</em><em> </em><em>What</em><em> </em><em>values</em><em> </em><em>will</em><em>Theorem</em><em>,</em><em> </em><em>Factoring</em><em>,</em><em> </em><em>and</em><em> </em><em>more</em><em> </em><em>to</em><em> </em><em>help</em><em> </em><em>you</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>zeroes</em><em>.</em>

<em>Increasing</em><em> </em><em>and</em><em> </em><em>decreasing</em><em> </em><em>behavior</em><em> </em><em>between</em><em> </em><em>the</em><em> </em><em>consective</em><em> </em><em>zeroes</em><em>:</em><em> </em><em>How</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>behaves</em><em> </em><em>around</em><em> </em><em>consective</em><em> </em><em>zeroes</em><em>.</em><em> </em><em>It</em><em> </em><em>must</em><em> </em><em>be</em><em> </em><em>above</em><em> </em><em>or</em><em> </em><em>below</em><em> </em><em>x</em><em> </em><em>axis</em><em> </em><em>between</em><em> </em><em>the</em><em> </em><em>zeroes</em><em>.</em><em> </em>

<em>And</em><em> </em><em>finally</em><em>,</em><em> </em><em>the</em><em> </em><em>end</em><em> </em><em>behavoir</em><em>:</em><em> </em><em>How</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>behaves</em><em> </em><em>as</em><em> </em><em>x</em><em> </em><em>approaches</em><em> </em><em>infinity</em><em> </em><em>and</em><em> </em><em>negative</em><em> </em><em>infinity</em><em>.</em><em> </em><em>Does</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>increases</em><em> </em><em>or</em><em> </em><em>decreases</em><em>.</em>

<em>That</em><em> </em><em>it</em><em>.</em><em> </em><em>If</em><em> </em><em>you</em><em> </em><em>need</em><em> </em><em>an</em><em> </em><em>example</em><em>,</em><em> </em><em>just</em><em> </em><em>ask</em><em> </em><em>me</em>

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Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector rand
iVinArrow [24]

Answer:

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Step-by-step explanation:

For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Five percent of all blue ray players manufactured by a large electronics company are defective.

This means that p = 0.05

A quality control inspector randomly selects three players from the production line.

This means that n = 3

What is the probability that exactly one of these three blue ray players is defective?

This is P(X = 1). So

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

P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

6 0
3 years ago
Determine the domain of the following graph
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Answer:

4

Step-by-step explanation:because i said

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What is 4 to the third power times 4 to the fourth power
alisha [4.7K]

When you are multiplying exponents with the same base, add the degrees.

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4 years ago
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Eighty percent of all California drivers wear seat belts. If three drivers are pulled over,
romanna [79]

Answer:

The probability that the three drivers would wear seat belts is 0.5

Step-by-step explanation:

Given

Percentage of drivers using seat belt = 80%

Number of drivers pulled over = 3

Required

Probability that all three drivers wore seat belt

First, the probability that a driver would wear seat belt has to be calculated.

Let's represent that with P(D)

P(D) is equivalent to the percentage of drivers using seat belt

P(D) = 80%%

P(D) = \frac{80}{100}

P(D) = 0.8

Let the probability that the three drivers would wear seat belts be represented as P(All).

P(All) is calculated as thus;

<em>(Probability that the first driver would wear seat belt) and (Probability that the second driver would wear seat belt) and (Probability that the first driver would wear seat belt).</em>

<em></em>

<em>Mathematically, this means</em>

P(All) = P(D) * P(D) * P(D)

Substitute P(D) = 0.8

P(All) = 0.8 * 0.8 * 0.8

P(All) = 0.512

P(All) = 0.5 --- Approximated

Hence, the probability that the three drivers would wear seat belts is 0.5

5 0
3 years ago
Maids, Inc. offers a maid service whose fees are defined by the function C(t) below, where t represents the number of hours purc
Anna [14]

Given:

The cost function C(t) = 45t + 95 where t is the number of hours purchased

To Find:

The amount of money a customer pays more for using the service for 5 hours than for 3 hours

Solution:

A customer has to pay $90 more to use the service for 5 hours than for 3 hours.

Calculation:

First, we find the cost of using the service for 3 hours, i.e., at t=3. We do this by substituting t=3 in the cost function C(t) = 45t + 95

C(t) = 45(3) + 95 = 230

Thus the cost for using the service for 3 hours is $230.

Next, we find the cost of using the service for 5 hours, i.e., at t=5. We do this by substituting t=5 in the cost function C(t) = 45t + 95

C(t) = 45(5) + 95 = 320

Thus the cost for using the service for 5 hours is $320.

The difference in the two prices is $(320-230) = $90

So, a customer has to pay $90 more to use the service for 5 hours than for 3 hours.

3 0
4 years ago
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