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2 years ago

Find the sum. 5(−3.4k−7)+(3k+21)

1 answer:

7 0

The answer should be -14 · (k + 1) if u simplify 17/5 and then rewrite the whole as a equivalent fraction and pull out like terms

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A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he

Nina [5.8K]

The maximum units is 200 and , Total revenue is $8,000

<u>Step-by-step explanation:</u>

Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:

We have following function as $R(x)=80x-0.2x^ 2$ . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!

⇒ $R(x)=80x-0.2x^ 2$

⇒ $\frac{d(R(x))}{dx}=\frac{d(80x-0.2x^ 2)}{dx}$

⇒ $\frac{d(R(x))}{dx}=\frac{d(80x)}{dx}-\frac{d(0.2x^ 2)}{dx}}$

⇒ $0=80-2x(0.2)$

⇒ $\frac{80}{0.4}=x$

⇒ $x=200$

Now , Value of function at x=200 is :

⇒ $R(200)=80(200)-0.2(200)^ 2$

⇒ $R(200)=16000-8000$

⇒ $R(200)=8000$

Therefore , The maximum units is 200 and , Total revenue is $8,000

7 0

2 years ago

the water level in a lake was monitored and was noted to have changed −2 1/3 inches in one year. The next year it was noted to h

Ket [755]

-3 1/2

just add the fractions

Mark brainliest please

5 0

2 years ago

You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou

zhenek [66]

A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall

4 0

2 years ago

2 3/4 divided by 1/2 ?

Vladimir [108]

Answer:

5.5

Step-by-step explanation:

7 0

1 year ago

Which equation matches the graph of the absolute value function seen here?

nignag [31]

use a calculator instead of asking

7 0

2 years ago