Joel wants to determine the solution to 0.5^x+4 ≤ 2. He first graphs 0.5^x+4-2 ≤ y as shown. Joel then graphs y ≤ 2 on the same coordinate plane and claims that the solution set to 0.5^x+4 ≤ 2 is the interval [6, infinity), because the overlapping region matches this interval. which statement describes Joel's error?

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.

Choose the equation below that represents the line that passes through the point (2, 4) and has a slope of 3. a) y − 4 = 3(x − 2) b) y − 2 = 3(x − 4) c) y + 4 = 3(x + 2) d) y + 2 = 3(x + 4)

If the perimeter of the garden is 37 ft. the width is x and the length is 15 ft. what is the width of the garden in feet?