Dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
ANSWER TO QUESTION 1
.
EXPLANATION
The function given to us is,
According to rational roots theorem,
are possible rational zeros of
.
We find out that,
Also
This implies that
are factors of
and hence is also a factor.
We perform the long division as shown in the diagram.
Hence,
.
ANSWER TO QUESTION 2
Sketching the graph
We can see from the factorization that the roots
and have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.
Also the root has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.
Now we determine the position of the graph on the following intervals,
We can now use these information to sketch the function as shown in diagram
Answer:
y = 0.1x + 200
Step-by-step explanation:
Independent variable (y-intercept) = $200
Dependent variable (Slope) = 0.1 (10%)
Why?
Since Dave's salary is fixed, the $200 he is earning is an independent variable. The commission <em>depends</em> on his weekly sales. The weekly sales is said to be "x". Since 10% is a dependent variable, it goes together with x.