Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
The third graph represents a function.
In a function, every input (x value) has <em>exactly</em> one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.
A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.
In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.
Answer:
Step-by-step explanation:
The circumference of a circle is given by 
, where 
is the radius of the circle.
What we're given:
of 31.4
Solving for :
11 - 3m; m = 2 therefore
11 - 3 · 2 = 11 - 6 = 5
Answer: c. 5
----------------------------------------
Answer: b. yx - 4
x = 6 and y = 2
2 · 6 - 4 = 12 - 4 = 8
Answer:
54
Step-by-step explanation:
0.54 repeating is 0.545454 and so on. If you subtract that from 0.54 repeating you get 54.
