18y^2 - 48y + 32 = 2(9y^2 - 24y + 16) = 2(9y^2 - 12y - 12y + 16) = 2[3y(3y - 4) - 4(3y - 4)] = 2[(3y - 4)(3y - 4)] = 2(3y - 4)^2
Answer:
See Below
Step-by-step explanation:
The left side of the equation HAS TO BE GREATER THAN 3
So we take each ordered pair (x,y), plug it into the expression of left side of inequality and see which one is GREATER THAN 3. That's our answer.
A:
0.5x - 2y
0.5(-2) -2(0.5) = -2
NO
B:
0.5x - 2y
0.5(2) -2(1) = -1
NO
C:
0.5x -2y
0.5(2) -2(-1) = 3
NO
D:
0.5x -2y
0.5(-2) -2(-0.5) = 0
NO
None of them are solutions. C would have been a solution if the inequality had an "EQUAL SIGN" -- but it doesn't. Maybe the question is wrong, but if the question is right, then there is no correct answer.
Answer:
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost of the TV set in 1999 = US$ 400
Annual increase rate = 2% = 0.02
2. Write an exponential model to represent this data.
Cost after n years = Cost in 1999 * (1 + r)ⁿ
where r = 0.02 and n = the number of years since 1999
Replacing with the real values for 2020, we have:
Cost after 21 years = 400 * (1 + 0.02)²¹
Cost after 21 years = 400 * 1.5157
Cost after 21 years = $ 606.28
The TV set costs $ 606.28 in 2020.
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
The average speed is 50 meters per second
<h3>How to determine the average speed?</h3>
The given parameters are:
Laps = 4
Time = 2 minutes
1 lap = 25 meters
Start by calculating the total distance
Distance = Laps * Meters
Distance = 4 * 25 meters
Distance = 100 meters
The average speed is then calculated as:
Speed = Distance/Time
This gives
Speed = 100 meters/2 minutes
Evaluate
Speed = 50 meters per second
Hence, the average speed is 50 meters per second
Read more about speed at:
brainly.com/question/4931057
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Yes, the relation shown is a function because every element in the domain has only one distinct image in the co-domain.