Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-

The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,

Hence, the constant of variation k for the direct variation is -0.5.
Answer:
By putting x = -x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.
Step-by-step explanation:
We need to explain why the function of
is neither even or odd
First we will understand, when the function is even and odd
Even function:
<em>A function is even if f(-x) = f(x) </em>
Odd function:
<em>A function is odd if f(-x) = -f(x) </em>
So, if we get the above result by putting x = -x, then we can say that the function is even or odd.
If we don't get any of the above results then the function is neither even nor odd.
So, for the given function: 
Put x = -x

So, by putting x=-x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.
Answer:
The Y-intercept changes .
Step-by-step explanation:
Answer:
Step-by-step explanation:
g(x) is vertical translation of f(x) by -12 units
Answer:
A.105°
Step-by-step explanation:
Angle at W and V are equal and the angles at T and U are also equal
Hence taking angles at T and U...so as to calculate the value of x
5x + 15 = 3x + 21
5x - 3x = 21 - 15
2x = 6.....hence, x = 3
Then for the angle of VXU;
All angles in a triangle add up to 180°
15(3) + 3(3) + 21 = 75°...then subtract from 180°..so as to obtain angle at VXU
180 - 75 = 105°