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3 years ago

2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer:

15 minutes

Step-by-step explanation:

60/4=15 8/4=2

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If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?

Nana76 [90]

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

r 3x - 1

(-----)(x) = ----------

s 2x + 1

8 0

3 years ago

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

Helpppppp!!!!!!!!!!and explain too

olga2289 [7]

Answer:

Relation

Explanation:

The definition of a relation is just a set of ordered pairs.

A function is a relation in which each domain element is paired with exactly one range element.

It can't be a function because if it is a vertical line, then the x-value is the same for the whole line.

I hope that helps a bit

8 0

3 years ago

The ratio of girls to boys is 2:3. There are 12 boys. How many girls are there?

Marianna [84]

Answer:

18 girls

Step-by-step explanation:

2g = 3b

b = 12

g = girls

b = boys

2g = 3*12

2g = 36

g = 36/2

g = 18

5 0

2 years ago

Read 2 more answers

Can someone help me on this question pls

andrew11 [14]

Answer:5.75

Step-by-step explanation: You are supposed to multiply you base and height which is 4.6 and 2.5 then divide by 2.

8 0

3 years ago

2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?​

2. Tonya runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?