On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.
Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.
Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.
Answer:
See explanation below.
Step-by-step explanation:
The equation is:
y = 7x + 6
This is the equation of a line in slope intercept form. The general form, where m is the slope and b is the y intercept is:
y = mx + b
In this case, with the equation:
y = 7x + 6
m is 7 and the y intercept is 6.
The y intercept means the point when x = 0:
(0, 6) is the y intercept point on the graph.
Hope this Helps! Have an Awesome Day!! (-:
Given:
The revenue function is

The cost function is

To find:
The profit function.
Solution:
We know that, the total profit P is defined as total revenue R minus total cost C.
So, the profit function is




Therefore, the profit function is
.
Answer:
The <u>last graph</u> is a <u>function.</u>
Step-by-step explanation:
They are reflected off of each other, aka they are in an organized pattern. The other graphs are a series of random plots, meaning they have no function.
Answer:
The 95% confidence interval estimate of the population mean life of the new light-bulb is (469.21 hours, 510.79 hours).
This confidence level means that we are 95% sure that the true population mean life of the new light bulb is in this interval.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now we find M as such:

In which
is the standard deviation of the population and n is the length of the sample. So:

The lower end of the interval is the mean subtracted by M. So it is 490 - 20.79 = 469.21 hours.
The upper end of the interval is the mean added to M. So it is 490 + 20.79 = 510.79 hours.
The 95% confidence interval estimate of the population mean life of the new light-bulb is (469.21 hours, 510.79 hours).
This confidence level means that we are 95% sure that the true population mean life of the new light bulb is in this interval.