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3 years ago

Given the function f(x) = 3x – 7, find f(-8).

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Just plug the number in.

f(-8)=3(-8)-7=-31.

f(-8) equals -31.

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The total revenue R earned (in dollars) from producing a gift box of candles is given by R(p)=-10p^2+800p, where p is the price

kherson [118]

A.) R(20) = -10(20)^2 + 800(20) = -10(400) + 16000 = -4000 + 16000 = $12,000

R(25) = -10(25)^2 + 800(25) = -10(625) + 20000 = -6250 + 20000 = $13,750

R(30) = -10(30)^2 + 800(30) = -10(900) + 24000 = -9000 + 24000 = $15,000

b.) For maximum revenue, dR/dp = 0
dR/dp = -20p + 800 = 0
20p = 800
p = 40

Therefore, the maximum revenue will be recorded when the price is set at $40.

4 0

3 years ago

What will be the index of 2 for its value equal to 1/2

Art [367]

Answer:

the index of 2 is -1

Step-by-step explanation:

$2^{-1}$

= $\frac{1}{2^1}$

= $\frac{1}{2}$

3 0

2 years ago

A race car was attempting to set a record the race car went 1000 feet in 4.5 seconds to the nearest Tenth what is the average sp

V125BC [204]

Answer:

222 ft/sec

Step-by-step explanation:

Essentially you're being asked to find the unit speed (that is, distance per sec).

1000 ft

------------ = 222 feet/sec is the approx. average speed / unit speed

4.5 sec

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3 years ago

Given f(x)-x-5,solvr for x when f (x)=4

malfutka [58]

Answer:

-1-x

Step-by-step explanation:

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6 0

3 years ago

A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the fun

zavuch27 [327]

The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.

The volume of a cylinder is given by:

$V=\pi r^2h$
where: r is the radius of the cylinder and h is the height of the cylinder.

Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:

$V=\pi(0.75)^2(1.5)=0.84375\pi=2.65072cm^3$

Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.

5 0

3 years ago

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