Exam Maths Puzzle Profit and Loss

Suppose Bob owns 8,000 shares of Company X and 6000 shares of Company Y. The Total value of Bob's holdings of these two companies is $680,000.

Suppose Frank owns 2,000 shares of Company X and 10000 shares of Company Y. The Total value of Franks holdings of theses two companies is $680,000.

a. Write equations for Bob and Frank's Holdings. Use the variables X and Y to represent the values of shares of Company X and Y.

b. Solve for the value of a share of Company X and Company Y.

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Exam Other Question

How do you solve polynomial equations such as:

(x-3)(x-squaured+3x-4)=0

(x+2)(x-squared+5x+1)=0
Solve

1. If f(x)=x^2 and g(x)=x+2, find f[g(x)]

2. If f(x)=x^3+4 and g(x)=x+3, find [g,f](2)

3. Find the inverse of the function f(x)=4x+1.

4. Which of the following pairs of functions are inverse functions?

a. f(x)=3x-9, g(x)=-3x+9

b. f(x)=4-x, g(x)=4+x

c. f(x)=x+5, g(x)=x-5

d. f(x)=x, g(x)= -x