Answer:
x>3
Step-by-step explanation:
Answer
Choice D
Company 2 is greater in avg rate of change by $750
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Explanation:
Average rate of change is the same as slope through two points. The two points are the endpoints of the interval.
The x values we'll use is x = 0 and x = 12 since it constitutes the first 12 years (12-0 = 12)
For company 1, if x = 0 and x = 12, then y = 12000 and y = 30000 respectively. The two points (0,12000) and (12,30000) are on the graph for company 1
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (30000-12000)/(12-0)
m = 18000/12
m = 1500
Over the first twelve years, the average rate of change for company 1 is 1500
For company 2, the points (0,15000) and (12,42000) are on the graph
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (42000-15000)/(12-0)
m = (27000)/(12)
m = 2250
Over the first twelve years, the average rate of change for company 2 is 2250
Now find the difference in the slopes
2250-1500 = 750
Company 2's rate of change is larger by $750
So that's why the answer is choice D. Over this timespan, company 2 is growing faster on average compared to company 1
Answer:
x = 34
Step-by-step explanation:
The sum of the three angles is 180 since they make a straight line
x+12 + 100 +x = 180
Combine like terms
2x+112=180
Subtract 112 from each side
2x+112-112= 180-112
2x = 68
Divide by 2
2x/2 =68/2
x = 34
Answer:
12 - 4i
Step-by-step explanation:
-2i ( 2+6i)
Distribute
-2i * 2 + -2i *6i
-4i - 12 i^2
We know that i^2 = -1 so replace it
-4i - 12(-1)
-4i + 12
Then put in the order a+bi where the real number comes first and the imaginary number comes last
12 - 4i
