Evaluate log base 12 of y^2, given log base 12=16
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9514 1404 393
Answer:
see attached
(x, y) = (8, 4)
Step-by-step explanation:
The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.
x + y = 12 . . . . . total number of shots
x + 2y = 16 . . . . total number of points
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These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.
The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.
- the number of free throws Angel made was 8
- the number of 2-point shots Angel made was 4
