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3 years ago

Which graph represents the polynomial function g(x)=x3+x2−17x+15?

Mathematics

2 answers:

IrinaVladis [17]3 years ago

8 0

The graph which represents the polynomial function g(x) is:

the 2nd graph in the second line

Step-by-step explanation:

g(x) = x³ + x² - 17x + 15 is a cubic function because the greatest power

of x is 3

All graphs represent cubic functions

So to find which graph which represents g(x) we will do these steps

1. Put x = 0 to find the y-intercept

2. If there are more than one graph have the same y-intercept we will

find the maximum and the minimum points of the cure

3. If you still don't know which graph find the x-intercepts

Now let us find the graph which represents g(x)

∵ g(x) = x³ + x² - 17x + 15

∵ x = 0

∴ g(0) = (0)³ + (0)² - 17(0) + 15

∴ g(0) = 15

∵ g(0) is the y-intercept

∴ The graph intersect the y-axis at point (0 , 15)

There is only one graph intersects y-axis at point (0 , 15)

The attached figure is the graph of g(x)

The graph which represents the polynomial function g(x) is:

the 2nd graph in the second line

Learn more:

you can learn more about functions in brainly.com/question/10541435

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GREYUIT [131]3 years ago

6 0

Answer:

Answer is B!

Step-by-step explanation:

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2 years ago

If the probability that a chef likes carrots is 0.13, the probability of those who like broccoli is 0.72, and the probability of

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Taking into account definition of probability, the probability of those who like both is 0.07 or 7%.

<h3>Definition of Probabitity</h3>

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

<h3>Complementary event</h3>

A complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

C: The event that a chef likes carrots.
B: The event that a a chef likes broccoli.

Then you know:

P(C)= 0.13
P(B)= 0.72

In this case, considering the definition of union of events, the probability that a chef likes carrots and broccoli is calculated from:

P(C∪B)= P(C) + P(B) -P(C∩B)

Then, the probability that a chef likes carrots and broccoli is calculated as:

P(C∩B)= P(C) + P(B) -P(C∪B)

In this case, considering the definition of the complementary event and its probability, the probability that a chef likes NEITHER of carrots and broccoli is calculated as:

P [(C∪B)']= 1- P(C∪B)

In this case, the probability of those who like neither is 0.22

0.22= 1 - P(C∪B)

Solving

0.22 - 1= - P(C∪B)

-0.78= - P(C∪B)

- (-0.78)= P(C∪B)

Now, remembering that P(C∩B)= P(C) + P(B) -P(C∪B), you get:

P(C∩B)= 0.13 + 0.72 -0.78

Solving:

P(C∩B)= 0.07= 7%

Finally, the probability of those who like both is 0.07 or 7%.

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