In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.
If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.
Here are some samples, feel free to make more if you need to:
So, we have the following table
Answer:
84%
Step-by-step explanation:
Completed passes: 21
total: 25
fraction: 21/25
21/25 x100
= 84
He has completed 84% of passes.
Answer:
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False
Step-by-step explanation:
<em>Let us explain the reflection about the axes</em>
- If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign
Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)
- That means reflection about the x-axis change the sign of y
- y = f(x) → reflection about x-axis → y = -f(x)
- If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign
Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)
- That means reflection about the y-axis change the sign of x
- y = f(x) → reflection about y-axis → y = f(-x)
<em>Now let us answer our question</em>
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.
It is False because reflection about x-axis change sign of y
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.
It is False because reflection about y-axis change sign of x
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis
Answer:
x = -5.25 or 21/4
Step-by-step explanation:
When break the bracket out, if there is a minus sign in front of the bracket, when we break it out, the sign inside the bracket would become positive:
67 = 18 - (8x - 7)
67 = 18 - 8x - (-7)
67 = 18 - 8x + 7
67 = 18 + 7 - 8x
67 = 25 - 8x or rewrite for easier look: 25 - 8x = 67
25 - 8x = 67
8x = 25 - 67
8x = -42
Divide both side by 8, we got:
x = -42 / 8
x = -5.25 or 21/4
Hope this helped :3
