8 is the greatest common factor
I think it is x to the 14th power
a. The equation that relates Ann's age (x) and Tom's age (y) is a line
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:

Substituting with m = 1 and the point (4, 8) into the general equation, we get:
8 = 1(4) + b
8 = 4 + b
8 - 4 = b
4 = b
Finally, the equation that compares Tom's and Ann's age is:
y = x + 4
b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:
y = 0 + 4
y = 4
then, the point (0, 4) is on the line. And we can also use the point (4,8)
Answer:
<u>B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. </u>
Step-by-step explanation:
We make this conclusion based on these reasons:
- We are told that the "null hypothesis was rejected" after the <em>"manager feels that the pressure variability has changed.,</em> meaning the <u>null hypothesis was the opposite of what occurred; that is to say, it is the alternate hypothesis that proved true instead.</u>
- <em>"changes in the manufacturing process"</em> form what can be called "sufficient evidence" that the mean of the pressure required to open the valve has changed, thereby going against the null hypothesis.
It is based on the above reasons that the null hypothesis was rejected.
Answer:
where
is the amount of banners sold.
Step-by-step explanation:
We know the team has already spent $40, and they earn #3.5 per banner.
Hence, with
representing the amount of banners sold, the equation is 