Answer:
247
Step-by-step explanation:
1,4,11,26,57,120. see the pattern that emerges from the series:
4–1 = 3; 3–1 = 2 = 2^1
11–4 = 7; 7 - 3 = 4 = 2^2
26 - 11 = 15; 15 - 7 = 8 = 2^3
57 - 26 = 31; 31 - 15 = 16 = 2^4
120 - 57 = 63; 63 - 31 = 32 = 2^5
so the next number should be 64+63 = 127+120 = 247.
check: 247–120 = 127; 127–63 = 64 = 2^6. correct.
so the next number is 247. 2^n+(n-1)
<span><span>The average rate of change formula is basically the slope formula, where you plug in: f(b)-f(a)/b-a. Then plug in the numbers. [f(0)=1,f(3)=7)]. So, 7-1/3-0. 6/3 is 2 so the average rate of change is 2. And that makes sense because the average rate of change is always the slope, and the slope is 2.</span></span>
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Divide by 365 then by 24 then by 60 and then by 60 again :)