Answer:
35
Step-by-step explanation:
6^2 - 3^4 / 3^4
<em>Evaluate The Power</em>
36 - 3^4 / 3^4
<em>Any Expression Divided By Itself Is 1</em>
36 -1
<em>Subtract</em>
35
(5x-1)(x+2)=8x-4
5x²+10x-x-2=8x-4
5x²+9x-2=8x-4
5x²+x+2=0
use the quadratic formula, b²-4ac=1²-4*5*2=1-40=-39, -39 cannot be square rooted, so the equation has no real solution.
We graphically solve
by graphing
and
and eyeballing the points where they intersect each other.
Really none of our choices are the solution set listing all the (x,y) pairs where the two functions meet because none of them is a set.
Anyway we count from the origin five to the right and three up to the meet of the lines, which is the point
, last choice.
Answer
Choice D
Company 2 is greater in avg rate of change by $750
=======================================
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
