It's D. Slopes are the same, because if you divide opposite and adjacent side of both triangles, you get the same result. Count the squares, for the smaller triangle it's 2/2=1 and for the bigger one it's 4/4=1.
Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
This is an exponential function.
If x = 0, 2^x = 2^0 = 1. The beginning value of 2^x is 1 and the beginning value of 51*2^x is 51.
Make a table and graph the points:
x y=51*2^x point (x,y)
-- --------------- ---------------
0 51 (0,51)
2 51*2^2 = 51(4) = 204 (2,204) and so on.
The graph shows up in both Quadrants I and II. Its y-intercept is (0,51). Its slope is always positive.
