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3 years ago

Evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1

Mathematics

1 answer:

Travka [436]3 years ago

4 0

Answer:

the answer is 12

Step-by-step explanation:

7x-2y-1. x=3. y=4

7×3-2×4-1

=21-8-1

=12

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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

A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn fr

sesenic [268]

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

3 0

3 years ago

(18) POINTS pLEASE HELP

JulijaS [17]

Answer:

(x-4)(x-3)

Step-by-step explanation:

$x^{2} -7x+12\\$

multiply 1 and 12= 12

find two numbers that multiply to get twelve AND add together to get -7(the middle number)

the two numbers are -3 and -4 (they add up to get -7 AND multiply together to get 12)

plug in these numbers for -7x

$x^{2} -3x-4x+12$

x(x-3)-4(x-3)

the bolded is the first binomial and the second binomial is in the parenthesis.

(x-4)(x-3)

I hope this helps!

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20,000,000+400,000+80,000+4000+100+60+3

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22 ft. 5 ft. 13 ft.\ i think you have to multiply im not sure

NemiM [27]

110 that's the answer I think

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Evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1​

Evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1