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elena-s [515]
3 years ago
6

Which function is decreasing?

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

A

outdoor temperature as a function of time

Step-by-step explanation:

If you put the temperture as a function of time, every passing hour or minute the tempurture decreases resulting in a decrease in your function.

This can also be shown in a graph were the tempuerture is the x and the time is the y. Each hour that passes the temputure goes down until night falls and the temputure reaches a constant rate of tempurture

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Divide (x^3-20x+16)/(x-4)
Lorico [155]
\frac{( x^{3}-20x+16) }{(x-4)}

Use the rational root theorem:
a_{o}=16, a_{n}=1

The dividers of a_{o}: 1,2,4,8,16 
The dividers of a_{n}: 1

Therefore, check the following rational numbers: +-\frac{1,2,4,8,16}{1}

\frac{4}{1} is a root of the expression, so factor out x-4

Compute \frac{ x^{3}-20x+16 }{x-4} to get the rest of the equation.

\frac{(x-4)( x^{2} +4x-4)}{x-4}

Cancel the common factor:
x^{2}+4x-4 is the final answer
8 0
3 years ago
Read 2 more answers
Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
3 years ago
If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).
Cloud [144]

Answer:

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x)  = 3x⁴ - \frac{2X^{3} }{3} - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1)  = 3(1)⁴ - \frac{2(1)^{3} }{3} - 17(1) + C

8 = 3 - \frac{2}{3} - 17 + C

C =8 - 3 + 17 + \frac{2}{3}

C = 22 +  \frac{2}{3}

C =\frac{66 + 2}{3}

C = \frac{68}{3}

f(x) =  3x⁴ - \frac{2X^{3} }{3} - 17x +  \frac{68}{3}

7 0
3 years ago
Silvia is n years old. She has a twin sister. What is the total of their ages?
natka813 [3]

Answer:  2n

Step-by-step explanation:

Silvia is n, sister is n, total is n+n=2n.

8 0
3 years ago
In a for loop, is it possible to use indexing?
kenny6666 [7]

Answer:

Yes

Step-by-step explanation:

A for loop basically relies on repeating the same code for a pre-set number of times. During which you can make any code repeat inside of it, including indexing through a type of list. Many times a for-loop will use the indexes in a list to calculate the number of times that the loop has to repeat. This is usually done in order to search or apply changes in an array of other types of data structures that have countless values stored in it.

4 0
3 years ago
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