Answer:
D(1, –5), (7, 1), (–11, 7)
Step-by-step explanation:
The given inequalities are:
y + x ≥ –4
y ≥ x – 6
3y + x ≤ 10
We graph the inequalities as shown in the attachment.
The coordinates of the vertices of the figure formed by the given system of inequalities are:
(1, –5), (7, 1), (–11, 7)
The correct choice is D.
Answer:
Step-by-step explanation:
Hello, first, let's use the product rule.
Derivative of uv is u'v + u v', so it gives:
Now, we distribute the expression of f(x) and find the derivative afterwards.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answers and Step-by-step explanations:
1. We need to plug in values of x into the functions f(x) and g(x):
f(2) = 2.5 * 2 - 10.5 = -5.5 g(2) = = 16
f(3) = 2.5 * 3 - 10.5 = -3 g(3) = = 8
f(4) = 2.5 * 4 - 10.5 = -0.5 g(4) = = 4
f(5) = 2.5 * 5 - 10.5 = 2 g(5) = = 2
f(6) = 2.5 * 6 - 10.5 = 4.5 g(6) = = 1
2.
(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.
(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.
3.
(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).
(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.
(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.