Solve this system of equations:

y = x2 – 3x + 12

y = –2x + 14

1.Isolate one variable in the system of equations, if needed.

y = x2 – 3x + 12

y = –2x + 14

2.Use substitution to create a one-variable equation.

–2x + 14 = x2 – 3x + 12

3.Solve to determine the unknown variable in the equation.

What are the values of x?

{–2, 1}
{–2, 4}
{–1, 2}
{–1, 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?

Two friends are reading books. jimmy reads a book with 21,356 words. his friend bob reads a book with one-and-a-half times as many words. which expression represents the number of words bob reads?

How do you write 600 as a product of its prime factors (index! )