Write and evaluate the expression. Then, select the correct answer. two less than the quotient of a number and four, increased by ten;

evaluate when m = 12

2 + 4m -10, when m = 11, the value is 40
4m + 2 +10, when m = 11, the value is 60
2 -StartFraction m Over 4 EndFraction 4m + 10, when m = 12, the value is 9
StartFraction m Over 4 EndFraction-2+10, when m = 12, the value is 11

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

What expression is equivalent to log3(x+4)

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?