Write the domain for the following piecewise-defined function using interval notation,
x² - 2
f(x) =
1 2 - 22
if x < 1
if x > 1
0 (-00, 1) U (1,00)
0 (-00,-V2) U (V2,00)
(-0, V2) U (V2,00)
0 (-00, -1) U (1,00)
0 (-00,00)

Match each statement with its corresponding value for the system below: y = -2(3)x and y = 9x - 2 1. the number of points of intersection. -2 2. the x-coordinate of the solution. 1 3. the y-coordinate of the solution. 0

Which is a true statement comparing the graphs of x^2/6^2-y^2/8^2 = 1 and x^2/8^2-y^2/6^2 the foci of both graphs are the same points. the lengths of both transverse axes are the same. the directrices of = 1 are horizontal while the directrices of = 1 are vertical. the vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?