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2 years ago

Which is the same as 9/5

Mathematics

2 answers:

slega [8]2 years ago

7 0

Answer:

18/10 or 1.8

Step-by-step explanation:

lesantik [10]2 years ago

6 0

Answer:

1 4/5

Step-by-step explanation:

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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

Find the midpoint of the segment with the given endpoints. (-4,-5) and (10,- 9)

Elanso [62]

Answer:

(3, -7)

Step-by-step explanation:

$\left(\frac{-4+10}{2}, \frac{-5-9}{2} \right)=(3, -7)$

6 0

1 year ago

5-4x(x+2)=9 Find rhe X need the whole thing

nadya68 [22]

Answer:

x=-1 hope this helpsss

Step-by-step explanation:

3 0

2 years ago

I still don't get how to do this: Solve for t then simplify your answer. -6/5t=9

stepladder [879]

Answer:

t= $\frac{-15}{2}$

Step-by-step explanation:

Multiply both sides by 5/(-6).

$\frac{5}{-6}$ * $\frac{-6}{5}$ = $\frac{5}{-6}$ *9

ik the doesnt rlly make any sense but hope this helps

5 0

3 years ago

Read 2 more answers

Solve the system of linear equations using elimination.

N76 [4]

Answer:

C (-2,1)

Step-by-step explanation:

−2x − y = 3 (1)

−9x − y = 17 (2)

(1) y = -2x - 3

(2) y = -9x - 17

-2x - 3 = -9x - 17

7x = -14

x = -2

y = -2(-2) - 3

y = 4 - 3

y = 1

8 0

2 years ago