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2 years ago

Help! Solve these, please!

Mathematics

2 answers:

pychu [463]2 years ago

6 0

Answer:

1: 32-C

2: 6-A

Step-by-step explanation:

1: To find the area of a figure, multiply its height by its width.

jeyben [28]2 years ago

3 0

Answer:

The area of the triangle is 25 units

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

3 years ago

5. The internal dimension of a tank are 14m, 8m and 5m. How much water can be

EleoNora [17]

Answer:

560,000L

Step-by-step explanation:

Given data

L=14m

W=8m

H=5m

Volume= L*W*H

Volume= 14*8*5

Volume= 560 m^3

1m^3 = 1000L

560m^3 = x

cross multiply

x= 560*1000

x= 560,000L

Hence the volume is 560,000L

3 0

2 years ago

A rectangle has side lengths 2x + 3 and 5x - 2.

xz_007 [3.2K]

Answer:

10x² + 11x - 6

Step-by-step explanation:

The area (A) is the product of the sides, that is

A = (2x + 3)(5x - 2) ← expand using FOIL

= 10x² - 4x + 15x - 6 ← collect like terms

= 10x² + 11x - 6

5 0

3 years ago

Salut as vrea si eu daca se poate o compunere cu titlul prima zi de craciun.Va rog frumos.

ch4aika [34]

Answer:

lol

Step-by-step explanation:

5 0

3 years ago

1) Eduardo has five friends, Alfalfa, Bernie, Corey, Dominik, and Elsa He is going to select two of them to go

Bumek [7]

Answer: he can make 3 groups of 2 first group him and Alfalfa second group Bernie and Corey the third group Dominik and Elsa.

Step-by-step explanation:

7 0

3 years ago