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earnstyle [38]
3 years ago
5

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:

<u>Part A </u>

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

<u>Part B </u>

<u>(Fixed Cost)</u>

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 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

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

<u> Part D </u>

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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3 years ago
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How can I write 20,484,163 in expanded from
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20,000,000+400,000+80,000+4000+100+60+3
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22 ft.<br> 5 ft.<br> 13 ft.\<br><br> i think you have to multiply im not sure
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110 that's the answer I think
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