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3 years ago

Must a function that is decreasing over a given interval always be negative over that same interval? Explain.

2 answers:

8 0

The correct answer is: 
no.

Explanation: 
For a function to be decreasing over an interval, the value of the function, f(x), must decrease as x increases. This does not, however, mean that the values of the function are negative. The function could have a positive range while still decreasing (becoming smaller positive numbers as x increase).

satela [25.4K]3 years ago

7 0

Answer:

The function may not be negative if the function is decreasing over a given interval.

Step-by-step explanation:

Let the function be f(x)

If the function f(x) is decreasing then it implies that the value of the function f(x) is decreasing with the increase in value of x over the given interval.

A function f(x) is said to be decreasing if the derivative of the function f'(x) is negative. This does not implies that the function is negative.

Hence, The function may not be negative if the function is decreasing over a given interval.

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The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

rjkz [21]

Answer:

a) 0.2725

b) 0.7275

c) 0.8948

Step-by-step explanation:

This is a binomial distribution probability problem. The formula is:

$P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}$

Where

n is the number of trials [here we are taking 8 person, so n = 8]

x is what we are looking for [in the problem]

p is the probability of success [ 15%, so p = 0.15

q is the probability of failure [q = 1-p = 0.85]

Now,

We are looking for "no one" did fling, so x = 0

Let's put into formula and find out the probability:

$P(x=0)=\frac{8!}{(8-0)!0!}(0.15)^{0}(0.85)^{8}\\P(x=0)=0.2725$

So, the probability that no one has done a one-time fling is 0.2725

Atleast 1 person means P(x ≥ 1).

This can be found by:

P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275

THus, Probability that at least one person has done a one-time fling is 0.7275

No more than 2 people means P (x≤2).

This is essentially

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)

P ( x = 0 ) is found in part (a), which is 0.2725

P (x = 1 ) and P(x=2) can be found using formula:

$P(x=1)=\frac{8!}{(8-1)!1!}(0.15)^{1}(0.85)^{7}\\P(x=1)=0.3847$

and

$P(x=2)=\frac{8!}{(8-2)!2!}(0.15)^{2}(0.85)^{6}\\P(x=2)=0.2376$

Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

8 0

3 years ago

9. The scatter plot below shows the average yearly consumption of

PolarNik [594]

A 20 gallons Bb. A Anna

7 0

3 years ago

The sum of six times a number and thirteen is five less than the product of three and the number

Svetllana [295]

Answer:

1 and 1/3

Step-by-step explanation:

I got this because you can first take 13-5 which is 8 then you can divide 8 by 6 to get your final answer.

Hope this helps.

6 0

3 years ago

Multiple polynomial the (x^3+3x^2+1)(3x^2+6x-2)

Mrrafil [7]

The product of given polynomials is: $3x^5+15x^4-16x^3-3x^2+6x-2$

Step-by-step explanation:

Given polynomials are:

$(x^3+3x^2+1)\\and\\(3x^2+6x-2)$

In order to multiply both polynomials, we will use the distributive property

So,

$= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2$

Combining like terms

$=3x^5+6x^4+9x^4-2x^3+18x^3+3x^2-6x^2+6x-2\\=3x^5+15x^4-16x^3-3x^2+6x-2$

Hence,

The product of given polynomials is: $3x^5+15x^4-16x^3-3x^2+6x-2$

Keywords: Polynomials, variables

Learn more about polynomials at:

#LearnwithBrainly

6 0

4 years ago

Could you help me on this please !

Sergeu [11.5K]

Answer:

1 is allowed on the elevator.

2 is allowed on the elevator.

3 is allowed on the elevator.

4 is not allowed on the elevator.

5 is allowed on the elevator.

Step-by-step explanation:

If the maximum weight capacity of the elevator is 750 pounds, then that means every weight that is 750 pounds or less is allowed on the elevator.

1 is allowed because 700lbs is lower than 750lbs, therefore it is safe.

2 is allowed for the same reason, 620lbs is lower than 750lbs.

etc, etc.

So that's all you need to look for :)

4 0

3 years ago