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3 years ago

will give brainliest!!!! Which of the following scatterplots would have a trend line with a positive slope?

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

The first scatterplots

faust18 [17]3 years ago

3 0

Answer:

I'm not sure if its correct but I say its the third scatterplot.

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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

3 years ago

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 12 a

RSB [31]

Answer:

The width is 8 units

Step-by-step explanation:

This is a variation problem we are to work with.

Length is inversely proportional to width, let length be l and width be w

modeling the statement mathematically, we have lw = k where k is the proportionality constant

Now let’s get k from l = 12 and w = 6

k = 12 * 6 = 72

Now for the second rectangle also;

lw = k given l = 9

9w = 72

w = 72/9

w = 8

3 0

3 years ago

The answer of 82.4 - 25

Readme [11.4K]

Answer:

57.4

Step-by-step explanation:

82.4 - 25 is too easy, a calculator can solve this.

8 0

3 years ago

What is the value of x?

rodikova [14]

The value could be rewritten as 2(x+4)

3 0

3 years ago

Read 2 more answers

Design a poster DESIGN A POSTER TO SHOW HOW TO COMPARE AND ORDER DECIMALS.

Westkost [7]

Answer:

but how do you want it done?

Step-by-step explanation:

5 0

2 years ago