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2 years ago

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

Mathematics

1 answer:

Nookie1986 [14]2 years ago

5 0

Step-by-step explanation:

Consider a function

(

)

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.

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A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,

Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

$People = 12$

$Selection =3$ (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$n = 12$

$r= 3$

So, we have:

$^nC_r = \frac{n!}{(n - r)!r!}$

$^{12}C_3 = \frac{12!}{(12 - 3)!3!}$

$^{12}C_3 = \frac{12!}{9!3!}$

$^{12}C_3 = \frac{12*11*10*9!}{9!3!}$

$^{12}C_3 = \frac{12*11*10}{3!}$

$^{12}C_3 = \frac{12*11*10}{3*2*1}$

$^{12}C_3 = \frac{12*11*10}{6}$

$^{12}C_3 = 2*11*10$

$^{12}C_3 = 220\ ways$

There are 220 choices

8 0

2 years ago

Samantha read 22 books in 4 months. How many books would she read in 10 months?

kari74 [83]

Well first let's find out how many books she reads in 1 month.
1) 22 (books) ÷4 (months)=5.5 she reads 5.5 books in one month.
Now we multiply 5.5 by the amount of months she will be reading.
2) 5.5 (books) ×10 ( months)=55 books
SAMANTHA WILL READ 55 BOOKS IN 10 MONTHS

8 0

3 years ago

I cannot figure this problem out

sveta [45]

Answer:

31 customers

Step-by-step explanation:

First, find the percentage of customers who wore a large. This is 26/(26 + 52), or 1/3 of the customers. Take 1/3 of the new customers, and 1/3 of 93 is 31. 31 customers will wear a size large.

Hopefully this helps! Let me know if you have any questions

7 0

3 years ago

Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model

alexira [117]

The formula for exponential decay is
$y=a(1-r)^{x}$

where a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 . 2018-2012 = 6 years)

$y=28750(1-0.12)^{6}$

y ≈ 13351.62

8 0

3 years ago

Why doesn't an elephant smoke?

snow_tiger [21]

Answer:

Because it can't

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers