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3 years ago

Can someone please help me?

Mathematics

1 answer:

Gnesinka [82]3 years ago

8 0

That is the answer,.......

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SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by

Hitman42 [59]

Answer:

a) $C(x)$ is increasing in two regions: (i) $(+\infty, 8\,s)$ and (ii) $(10\,s,+\infty)$ .

b) $C(x)$ decreases in $(8\,s, 10\,s)$ .

Step-by-step explanation:

Let $C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850$ , where $x$ is the quantity of insecticide, measured in hundreds of liters, and $C(x)$ is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of $C(x)$ are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

$C'(x) = 3\cdot x^{2}-54\cdot x+240$ (1)

Please notice that regions where C(x) is increasing has $C'(x) > 0$ , whereas $C'(x) < 0$ when $C(x) < 0$ .

We notice that $C(x)$ is increasing in two regions: (i) $(+\infty, 8\,s)$ and (ii) $(10\,s,+\infty)$ . Besides, $C(x)$ decreases in $(8\,s, 10\,s)$ .

6 0

3 years ago

A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 54 miles a

Alla [95]

Answer: 1,296 m iles

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Distance = Speed rate x time

speed rate = 54 miles per hour
time = 24 hours

Replacing with the values given and solving for D (distance)

D = 54 mph x 24 h = 1,296 m

The car traveled 1,296 miles

Feel free to ask for more if needed or if you did not understand something.

3 0

3 years ago

Which represents the solution(s) of the system of equations, y=-x^2+6x+16 and y=-4x+37? Determine the solution set algebracicall

padilas [110]

Option C is the correct answer.

4 0

3 years ago

Point K is graphed on a number line at 3. Point L is 11 units away from point K on the number line.

LUCKY_DIMON [66]

The points would be either: -8 or 14

6 0

3 years ago

An arrow is shot vertically upward at a rate of 230 feet per second. Use the projectile formula h = −16t2 + v0t to determine at

maxonik [38]

Answer:

The question gives you V0 as 220, so plug that in first.

h=-16t2+220t.

Then it says to find the time (solve for t), when the height is 400 ft. Plug 500 ft in as h and solve for t.

500=-16t2+220t.

To solve this, set the quadratic equal to 0 by subtracting 500 from both sides (0=-16t2+220t-500) and use the quadratic formula!

Step-by-step explanation:

5 0

1 year ago