A bag contains only red marbles and blue marbles. • The number of red marbles in the bag can be represented by x.

• The number of blue marbles is 12 more than 3 times the number of red marbles.

• There are a total of 48 marbles in the bag.

What is x, the number of red marbles in the bag?

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

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.

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .