Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
nearest 1000: 920,000
nearest 100: 919,800
nearest 10 (you said 100 but I think you mean 10): 919,830
I believe the answer is C because each teacher would get 2 packs for the three that get paper
Slope-Intercept Form: y=mx+b
Standard Form: ax+by=c
Point- Slope: (y-y1)= m(x-x1)
There are multiple answers to your question-
- If you are only missing b(the y-intercept) but are given a set of points, plug the points into x and y and solve for b.
- If you are only missing the slope(m) but are given a set of points, plug the points into x and y and solve for m.
- If you are given the standard form/point-slope form, change the equation to slope intercept form.
- If you are given an complete form(there is an x and y; no missing variables), but are not sure what it is, plug in some numbers in x to find y, then graph.
Use the slope formula
y2-y1
m=---------
x2-x1
(rise-->y over run-->x)
so it would be
9-5
m=-------
1-10
and that would simplify to
4
----
-9
and that would be your slope.
Hope that helped :-)
