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3 years ago

10

Divide 5x^2 + 8x + 7 by 4x

1 answer:

Nostrana [21]3 years ago

8 0

Answer:

$5^2+36x$

Step-by-step explanation:

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Calvin wants to earn an average grade of 90% in his Algebra class.He already has the following scores on assignments:90%,95%,85%

exis [7]

Total of the 5 assignments = 90 + 95 + 85 + 80 + 97 = 447

If he wants an average of 90% for 6 assignments,
he needs a total score of 90 x 6 = 540

To achieve the average score of 90%,
he needs to score 540 - 447 for his 6th assignment.

540 - 447 = 93%

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Answer: He must score 93% for the next assignment.
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8 0

4 years ago

A fruit stand sells 8-ounce containers of blueberries for $4.00. If y represents the cost of x ounces of blueberries, which equa

dem82 [27]

Answer:

y = 0.5x

Step-by-step explanation:

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4 years ago

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Can someone plz help me with this!!! I will give brainlist

san4es73 [151]

I belive that its C

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3 years ago

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>

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

<h3>and we make R'(x)=0:</h3>

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

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>

7 0

3 years ago

A new apartment building has 33 floor with 24 apartments on each floor how many apartments are in the building

const2013 [10]

33 times 24 is 792. There would be 792 apartments.

3 0

4 years ago

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