4. Use the function f(x) = 2x + 5. When asked to find the value of x for which f(x) =17, Hudson answered 39. What mistake did Hudson make? What is the correct answer?

The correct answer is 6. Hudson evaluated the function at x =17, instead of finding the the value of x.

Step-by-step explanation:

2( 1/2)+5

1+5= 6

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)