Answer: No, it is not a solution
Work Shown:
-2 ≤ k/3
-2 ≤ -9/3
-2 ≤ -3
The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.
Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.
Step-by-step explanation:
Total marbles = 9 + 4 + 3 + 2 = 18
Probability of both red marbles = 3 / 18 = 1/6
Answer:
See proof below
Step-by-step explanation:
We have to verify that if we substitute 
in the equation 
the equality is true.
Let's substitute first in the right hand side:
Now we use the distributive laws. Also, note that 
(this also works when the power is n-2).
then the sequence solves the recurrence relation.
To solve this
problem, let us analyze this step by step. The temperature for each day is as
follows:
Water temperature
on Sunday = 78 degrees F
Water temperature
on Monday = changed by -3 degrees F
Water temperature
on Tuesday = changed by 3 degrees F
We can see that
the total change of water temperature from Sunday to Tuesday is:
-3 + 3 = 0
Therefore there
is zero overall change. There the integer which represents the temperature
change is “0”.
Since the overall
change in water temperature is zero, hence the temperature on Sunday and on
Tuesday is similar.
Water temperature
on Tuesday = 78 degrees F
Answer: 3
Step-by-step explanation:
1. 2²=4
2. 4*5=20
3. 180/20=9
4. √9=3
Hope this helped :)
