y = x^2 + 5x -3
y-x =2
Replace y in the second equation with the first one:
x^2 + 5x -3 - x = 2
Simplify by combining like terms:
x^2 + 4x -3 = 2
Subtract 2 from both sides:
x^2 + 4x -5 = 0
Fctor the polynomial:
(x-1) (x+5) = 0
Solve for both X's:
x = 1 and x = -5
Now replace x in the second equation with both value and solve for y:
y -1 =2, y = 3
y - -5 =2, y +5 = 2, y = -3
Now combine the sets of answers:
(1,3) and (-5,-3)
Answer:
2:3 (2 bikes for every 3 people)
Step-by-step explanation:
Answer:
(a)Revenue function, 
Marginal Revenue function, R'(x)=580-2x
(b)Fixed cost =900
.
Marginal Cost Function=300+50x
(c)Profit,
(d)x=4
Step-by-step explanation:
<u>Part A
</u>
Price Function
The revenue function
The marginal revenue function
<u>Part B
</u>
<u>(Fixed Cost)</u>
The total cost function of the company is given by 
We expand the expression
Therefore, the fixed cost is 900
.
<u>
Marginal Cost Function</u>
If 
Marginal Cost Function, 
<u>Part C
</u>
<u>Profit Function
</u>
Profit=Revenue -Total cost
<u>
Part D
</u>
To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.
The number of cakes that maximizes profit is 4.
I think its easier to work out part (c) first:-
People who liked anything except burger = 3/8 + 1/4 + 1/5 = 33/40
So the fraction who liked burgers = 7/40.
7/40 of the total liked burgers so total people surveyed = (40/7) * 126 = 720
ANswer to c is 720.
a) Number who liked chicken and laksa = (3/8 + 1/4) * 720 = 450 Answer
b) Number who liked pasta = 1/5 * 720 = 144
Therefore 144-126 = 18 more people liked pasta than burger , Answer.
