For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive

Step-by-step explanation:

Consider a function

f

(

x

)

which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.

Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.

Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37

Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.

a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.

PLS HELP ITS URGENT!! ANSWER FOR POINTS

A random sample of 95 halogen light bulbs had a mean life of 531 hours with a standard
deviation of 33 hours. Construct a 90% confidence interval for the mean life of all light bulbs
of this type.
A) 525.4 < u <536.6
B) 515.3< u < 526.9
C) 527.2 < u <531.8
D) 523.8 < u < 529.5

PLEASE HURRY ASAP:

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.

The vertex is (1, -9).

The graph opens upward.

The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.

The graph is steeper than the graph of f(x) = x2.

The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

How do you graph for the function Y= 3x-2

I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.

Plz do in algebraic method

Mikey buys an assorted box of chocolates that contains 18.61 ounces of dark chocolate and 37.23 ounces of milk chocolate. how much do the chocolate weigh in total?

1. Which expression is equivalent to the given expression? * -0.25 (84 – 32n) - n

a. 21 – 9n

b. -21 – 9n

c. - 21 + 8.25n

d. -21 + 7n

PLS HURRY​

identify the following equations as one solution , no solution or infinite solutions 6x + 9 -x=3x+9+ x

Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.

X^4 - 3x^2 + 2y - 1 is a polynomial of degree

1. Use the method described in the activity to find the rational zeros for
-10x3 + 15x+ 16x-12.

What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm

Researchers are studying the relationship between the median salary of a police officer in a city and the number of violent crimes per 1,000 people. The researchers collected the police officers' median salary and the number of violent crimes per 1,000 people in 87 cities. After analyzing the data, researchers found that a city with a greater police officers' median salary tends to have a greater number of violent crimes per 1,000 people.

The variables
(select)
.

The greater police officers' median salary corresponds to a
(select)
number of violent crimes per 1,000 people, so there is a
(select)
correlation.

Causation is
(select)
but it is unknown which variable causes the other. A greater median salary of police officers could cause a greater number of violent crimes per 1,000 people or a greater number of violent crimes per 1,000 people could cause a greater median salary of police officers. It is also possible that another factor causes a greater median salary and a greater number of violent crimes per 1,000 people.

'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।​

Consider these functions

f(x) = 4x^3 - 10

3x - 4
g(x) = _______
2

What is the value of g(f(2))

A. -6
B. 2
C. 19
D. 31

how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?​

me pueden ayudar plis lo necesito para hoy ​

Create a word problem that can be represented by the expression in number 4. –6 ÷ 1 1/3 ​

HELPPPP
the last part says select 3 options​

Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?

100 POINTS!!

Find the slope and the y intercept of the line in the graph.

find the height of a parallelogram with a base 24 inches and the area of 432 square inches

A trial balance has total debits of $36,000 and total credits of $48,500. Which one of the following errors would create this imbalance?

A.) A $6,250 debit to utilities expense in a journal entry was incorrectly posted to the ledger as a $6,250 credit, leaving the utilities expense account with a $7,000 debit balance.

B.) A $12,500 debit to salaries expense in a journal entry was incorrectly posted to the ledger as a $12,500 credit, leaving the salaries expense account with a $2,350 debit balance.

C.) A $6,250 credit to consulting fees earned (revenues) in a journal entry was incorrectly posted to the ledger as a $6,250 debit, leaving the consulting fees earned account with a $14,300 credit balance.

D.) A $6,250 debit posting to accounts receivable was posted mistakenly to land.

E.) A $12,500 debit posting to equipment was posted mistakenly to cash.

F.) An entry debiting cash and crediting accounts payable for $12,500 was mistakenly not posted.


Please answer which one is it. Thank you!

Write the phrase "the sum of a number and twenty-three less than that number" as a mathematical expression.

A) x + 23

B) x ⋅ 23

C) x – 23

D) x + (x – 23)

please help me thank you in advance!

Chad measured a house and its lot and made a scale drawing.
The backyard is 17 inches long
in the drawing.
The actual yard is 68 feet long.
What scale did Chad use for the drawing?

1 inch __ feet

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

5x - 4 = 2 (x + 3) + x

which is a common denominator of 1/4 and 3/5?
and
A.
9

B.
15

C.
16

D.
20