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2 years ago

Find UV. This is Geometry. Help

Mathematics

1 answer:

Viefleur [7K]2 years ago

6 0

Solve for x, like I did, then plug it in the equation for UV.

So,

(2x12) - 22 = UV

24-22 = UV

UV = 2

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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

2 years ago

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. Find the angles in △CBD and △CAD if m∠A = 65°

adell [148]

Simple drawing shows that measure interior angle at B is 25 degrees.

Easily seen from a drawing are that measure of angle CBD is 25 degrees, and measure of angle CAD is 65 degrees (which was already given).

Heres the plot formula!

6 0

2 years ago

If VZ=p–7 and WY=p–21, what is the value of p?

sveta [45]

Using the midline property;

$2wy = vz$

$2(p - 21) = p - 7$

$2p - 42 = p - 7$

$2p - p = - 7 + 42$

$p = 35$

8 0

2 years ago

In Chicago, IL, the average wind speed is 10.4 miles per hour. In Great Falls, MT, the average wind speed is 13.1 miles per hour

Fed [463]

I think Great Falls' average wind speed is greater than Chicago's by 2.7 miles

8 0

2 years ago

A line segment is defined by which of the following statements?

kaheart [24]

The only given option that correctly defines a line segment is;

Option C; All points between and including two given points.

In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.

Now, let us look at the options;

Option A; This is not correct because a line segment must have 2 distinct endpoints

Option B; This is not correct because a line segment is a part of a line and not a set of points.

Option C; This is correct because it tallies with our definition of line segment.

Option D; This is not correct because a line segment does not extend infinitely.

Read more at; brainly.com/question/18089782

7 0

2 years ago