Provide an appropriate response.An investor has $12,000 to purchase stock in two companies. If the first stock sells for $45 per share, and the second stock sells for $62 per share, find an equation that shows the possible ways to purchase the stock.
What will be an ideal response?
x = number of shares of the first stock purchased; y = number of shares of the second stock purchased; 45x + 62y = 12,000
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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = xy = 2x
A. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.
Perform the indicated operation and simplify.
? 
A. 
B. 
C. 
D. 
Decide whether the given number is a solution to the equation preceding it.
= 
+ 
; 6
A. Yes B. No
Factor completely. If the polynomial is prime, state this.(q - 6)2 - 25
A. (q - 1)(q - 11) B. (q - 1)2 C. ((q - 6)2 + 5)((q - 6)2 - 5) D. (q + 11)(q - 11)