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3 years ago

Need Help with Polynomials

Mathematics

1 answer:

Elena L [17]3 years ago

6 0

Answer:

1. yes all yes

Step-by-step explanation:

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843 to the nearest 100

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It is 800 because the 4 can not tell the what to do so that it is

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3 years ago

What is the Golden Ratio?

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The golden ratio is the next number equals the sum of the last to example listed

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The perimeter of a rectangular building is 346 meters.It is 132 meters long.How wide is it

kakasveta [241]

2L + 2w = 112 ---> L + w = 56 ---> w = 56- L

Area = L*w = L(56-L) = 735

56L - L^2 = 735

0 = L^2 - 56L + 735

0 = (L - 21)(L - 35)

THe dimensions of the rectangle are 35 x 21

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3 years ago

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A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised

Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

$y=mx+b$

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}$

We pick the point (51000,21) and plug it into the equation of the line and we find b:

$y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38$

<h3>And we have got our line equation</h3>

$y= -\frac{1}{3000}x + 38\\$

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

$y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x$

<h3>to maximize the revenue, we get the first derivative:</h3>

$R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\$

$R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000$

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

$y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19$

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>

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3 years ago

What is line r called and what are ∠1 and ∠2?

sergij07 [2.7K]

Answer:

The line r is the transversal and ∠1 and ∠2 are linear pairs.

Step-by-step explanation:

Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.

Consequently, the parallel lines are p and q.

R is the transversal

The parallel lines p and q are divided by the transversal r.

As a result, lines 1 and 2 are linear pairs, and line r is the transversal.

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2 years ago

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