Given the algebraic expression 12x+ 12 over x^ 2- 1 do the following: 1. evaluate the expression for when x = 7

2. Evaluate for when x = 4

3. Is this expression equivalent to dividing 12 by one less than x? Do your results from a and b support this assertion? Why or why not?

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.

Calculate the effective quarterly compound interest rate equivalent to a 1% of monthly compound interest rate.