The sum and product of two linear functions are shown. which statements can be used to describe the original functions f(x) and g(x)? select three options. cof when added, the sum of the y-intercepts must be 8. when multiplied, the product of the y-intercepts must be either f(x) or g(x) has a positive rate of change and the other has a negative rate of change. f(x) could have a rate of change equal to 3 and g(x) could have a rate of change of -3. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of -1. -6 -4 =

Which property is illustrated by the following statement? if hxa rgi, then rgi hxa.

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) .

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.