Complete the square for the following quadratic equation to determine its solutions and the location of its extreme value.
y = -x2 + 4x + 12
a.
x= 2 + 277
extreme value at (2016)
b.
x = -2, 6
extreme value at (2,12)
x= -2, 6
extreme value at (2,16)
c.
d. x= 2 + 277
extreme value at (2,12)

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)

John used linear combination to solve the system of equations shown. he did so by multiplying the first equation by -3 and the second equation by another number to eliminate the x-terms. what number did jonas multiply the second equation by? 4x-6y=23x+5y=11

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?