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2 years ago

Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?

Mathematics

2 answers:

Katen [24]2 years ago

7 0

Answer:

The answer is the table B

Step-by-step explanation:

we have

$f(x)=2x^{3}-26x-24$

Using a graphing tool

see the attached figure to better understand the problem

Relation of graph to the x-axis

Interval (-∞,-3) -----> below (the function is negative)

Interval (-3,-1) -----> above (the function is positive)

Interval (-1,4) -----> below (the function is negative)

Interval (4,∞) ----->above (the function is positive)

Anna71 [15]2 years ago

4 0

After you have plotted the graph of the polynomial, the x-intercepts of the given polynomial will be:
(-3,0),(-1,0) and (4,0)
therefore the interval will be:
(-∞,-3)-below, (-3,-1)-above,(-1,4)-below,(4,∞)-above
The answer is ]

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The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic

Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

$\frac{ n!}{ n1!*n2!*...*nk! }$

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

n by 40 participants
k by 4 groups
n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

$\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}$

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

$nPk = \frac{ n!}{(n-k)!}$

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

n by 15 doctors
k by 4 offices

We get:

$\frac{ 15!}{ (15-4)! } = 32760$

7 0

2 years ago

Read 2 more answers

Thomas purchased a bag of marbles on Monday. On Tuesday he gave half of the marbles to his brother. On Wednesday he gave eight m

kupik [55]

Answer:

168

Step-by-step explanation:

60+16+8 is 84

84 times 2 is 168

Mark me as brainliest if this helps!

6 0

2 years ago

David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P

Mars2501 [29]

Answer:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.

The hourly rate drops further to $1 per hour between the 6th and 10th hours.

The maximum price of the bike rental is $30.

Step-by-step explanation:

The slope of the graph corresponds to the hourly rate for the bike rental.

During the first three hours of the bike rental, the price increases by $4 each hour.

Between the 3rd and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.

Between the 6th and 10th hours, the rate is $1 per hour.

After the 10th hour, the price, P, stops increasing. The maximum price of the bike rental is $30.

6 0

2 years ago

A sample of 2,000 licensed drivers revealed the following number of speeding violations. Number of Violations Number of Drivers

Arturiano [62]

Answer:

The probability that a particular driver had exactly two speeding violations is 0.009.

Step-by-step explanation:

We are given that a sample of 2,000 licensed drivers revealed the following number of speeding violations;

Number of Violations Number of Drivers

0 1,910

1 46

2 18

3 12

4 9

5 or more 5

Total 2000

Now, the data means that 1,910 drivers had 0 speeding violations and so on.

Now, we have to find the probability that a particular driver had exactly two speeding violations, that means;

Number of drivers having exactly two speeding violations = 18

Total numbers of drivers = 2000

So, the required probability = $\frac{\text{No. of drivers having two speeding violations}}{\text{Total no. of drivers}}$

= $\frac{18}{2000}$ = 0.009

6 0

2 years ago

Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult

viktelen [127]

Answer:

13 children and 9 adults if the total cost is $152.5

Step-by-step explanation:

Let x children and y adults

x + y = 22 (1)

5.5x + 9y = 125.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 125.5

5.5x + 198 - 9x = 125.5

-3.5x = 125.5 - 198

-3.5x = -72.5

x = 20.7

y = 22 - x = 1.3

Which is not possible

If the total cost is $152.5

x + y = 22 (1)

5.5x + 9y = 152.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 152.5

5.5x + 198 - 9x = 152.5

-3.5x = 152.5 - 198

-3.5x = -45.5

x = 13

y = 22 - 13 = 9

3 0

2 years ago