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2 years ago

Find f(3) if f(x)=x^3+2x^2-x-1

Mathematics

1 answer:

Nataliya [291]2 years ago

7 0

Answer:

Step-by-step explanation:

$f(x) =x^3 +2x^2 -x -1\\\\f(3) =3^3 +2(3^2) -3 -1\\\\~~~~~~~=27+18-4\\\\~~~~~~~=27+14\\\\~~~~~~~=41$

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The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model

Nadusha1986 [10]

Answer:

$\bar C = 4100\,dollars$

Step-by-step explanation:

a) The average value of a function is given by the following integral:

$\bar C = \frac{\int\limits^{q_{max}}_{0} {4100+90\cdot q^{2}} \, dq }{q_{max}}$

$\bar C = \frac{1}{q_{max}}\cdot \left(4100\cdot q_{max} + 30\cdot q_{max}^{3} \right)$

$\bar C = 4100 + 30\cdot q_{max}^{2}$

b) The determination of the minimum average daily cost per pound of pollutant is done by the First Derivative Test and the Second Derivative Test, which is:

$\bar C' = 60\cdot q_{max}$

$60\cdot q_{max} = 0$

$q_{max} = 0$

$\bar C'' = 60$ (absolute minimum).

The level of reduction corresponding to the lowest average daily cost per pound of pollutant is:

$\bar C = 4100\,dollars$

3 0

4 years ago

Subtract. Use models if needed.<br> (-2x+6)-(13x-16)

qaws [65]

-2x + 6 - 13x + 16
= -15x + 22

4 0

3 years ago

Diego has 4 times as manny autograhed baseballs as melanie. diego has 24 autographed balls . how many does melanie have?

Ainat [17]

Answer:

Melanie has 6 autographed baseballs.

Step-by-step explanation:

Diego has 4 times as many autographed baseballs as Melanie, and Diego has 24. 24/4 = 6.

3 0

3 years ago

What is the volume of a cone with a radius of 6 cm and a height of 12 cm? use 3.14 for pi. round your answer to the nearest hund

natima [27]

The answer is 452.16 cm³.
Formula to calculate the volume of cone = V = πr²x h/3
Now r = 6 cm and h = 12cm, and value of π = 3.14
By putting the values,
V = (3.14) (6)² (12/3) = (3.14)(36)(4)
V = 452.16 cm³

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3 years ago

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta

Morgarella [4.7K]

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn = n! / (n - r )! *r!

rCn = 49!/ (49 - 2)!*2!

rCn = 49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

6 0

3 years ago