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galben [10]
3 years ago
8

P(x)equals=​R(x)minus−​C(x). Given ​R(x)equals=59 x minus 0.3 x squared59x−0.3x2 and Upper C left parenthesis x right parenthesi

s equals 3 x plus 14C(x)=3x+14​
Mathematics
1 answer:
Deffense [45]3 years ago
4 0

Answer:

P(x)=-0.3x^2+56x-14  

Step-by-step explanation:

The given functions are

R(x)=59x-0.3x^2

C(x)=3x+14

It is given that

P(x)=R(x)-C(x)

Substitute the values of given functions in the above equation.

P(x)=59x-0.3x^2-(3x+14)

P(x)=59x-0.3x^2-3x-14

Combine like terms.

P(x)=-0.3x^2+(59x-3x)-14

P(x)=-0.3x^2+56x-14  

Therefore, the required function is P(x)=-0.3x^2+56x-14   .

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3 years ago
Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to
viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

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Length = [70-(1+\pi )x]/2

Total area =

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When we square it we would have

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7 0
1 year ago
Which is NOT a true statement?
Butoxors [25]
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6 0
2 years ago
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When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.
ladessa [460]
3 pipes take 12 hours
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2 of the pipes take 18 hours
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In 1 hour, the third pipe alone can fill :

\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}

Time needed :

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Answer: It will take 36 hours for the third pipe to fill the pool.
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5 0
3 years ago
Read 2 more answers
1. In which quadrant does θ lie given that sinθ&gt;0 and cosθ&lt;0?
expeople1 [14]

Answer:

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Step-by-step explanation:

Given

\sin(\theta)  > 0 and \cos(\theta)  < 0

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4 0
3 years ago
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