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3 years ago

Select the proper placement for parentheses to speed up the addition for the expression 4 + 6 + 5

Mathematics

2 answers:

nata0808 [166]3 years ago

6 0

Im guessing that by making 10 it will speed up the addition process so it should be
B since (6+4) = 10 then +5 =15

vlabodo [156]3 years ago

6 0

The answer is B becuase 6+4=10 10+5=15

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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

The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the

kondaur [170]

Answer:

32 Students

Step-by-step explanation:

3/5 = 12/20

This means you add the boys and girls to get 32.

8 0

2 years ago

Read 2 more answers

Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :) 30 points

pentagon [3]

Answer:

hope this helps .keep on learning

6 0

2 years ago

Please help me with the correct answer !!!

Nataly [62]

The answer would be D

6 0

3 years ago

I need help pls this is to confusing

OleMash [197]

Answer: the value of a is less than b because its to the left

Step-by-step explanation:

3 0

3 years ago