Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} Find the common domain of F and G.
Ann [662]
Answer:
{ 2, 4, 6 }
Step-by-step explanation:
These are the only x values that F and G have in common.
2x² + x - 3
2x² - 2x + 3x - 3
2x(x) - 2x(1) + 3(x) - 3(1)
2x(x - 1) + 3(x - 1)
(2x + 3)(x - 1)
Answer:
(1)
Ad g(x) represent f(x) after horizontal translation 2 units to the left.
is the required translation.
(2)
(3) We have been given a point (1,-9); slope 2
We will use the equation:
m is the give slope.
Therefore, Option (a) is correct.
Step-by-step explanation:
Answer:
The family of directions of the given vector is represented by
,
.
Step-by-step explanation:
According to the given information, vector stands in the 4th Quadrant (
,
) and direction of the vector (
) in sexagesimal degrees, is determined by following definition:
, 
Please notice that angle represents a function with a periodicity of 360°.
If we know that
and
, then the direction of the vector is:

The family of directions of the given vector is represented by
,
.
Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:

Then, given the points
and
, you can identify that:

Knowing these values you can substitute them into the formula for calculate the slope:

Finally, evaluating, you get that the slope of that line is:
