Substitute z with 3.
3(4)^3
Cube 4 with 3
3(64)
Multiply 3 and 64
=192
<span>The definition of quadratic function is given by:
</span>

<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>

<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:

Thus:
Finally,
the answer is:

The graph of this function is shown in the figure below.</span>
Answer:
y = 2/3x-8
Step-by-step explanation:
in the equation y = mx+b, m = slope and b = y-intercept. all you have to do is plug the numbers in!!
Answer:
-1557
Step-by-step explanation:
a+14d=143
a+12d=183
--------------------
2d= -40
d= -20
a=183+240=423
a(100th)= 423+99*-20=423-1980= -1557
I hope that help =)
Answer:
a) The very first one where the line starts to the left
b) m=125.82
c) 320.81 thousand dollars
Step-by-step explanation:
a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left
b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.
c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get
y=125.82 (4)-182.47 =320.81 thousand dollars