The area of a triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. find a if it is known that parabola opens downward.

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

You just purchased two coins at a price of $670 each. because one of the coins is more collectible, you believe that its value will increase at a rate of 7.1 percent per year, while you believe the second coin will only increase at 6.5 percent per year. if you are correct, how much more will the first coin be worth in 15 years?