We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:
Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².
We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.
Now we find the difference between the actual terms of the sequence and the numbers we just found:
4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.
Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
<u>First, we need to establish the total cost formula for each plan:</u>
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
<u>Prove:</u>
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
Answer:
22.44
Step-by-step explanation:
If it’s the midpoint, just multiply it by 2 giving you full length
Answer is 1 . Righttttttttttttt
Answer:
y=0.3x
Step-by-step explanation:
Formula = 
y α x
y = kx
Where k is the constant of proportionality.
When y = 1.5; x = 5;
We substitute these known values in the equation,
y = kx
1.5 = k5
Dividing both sides of the equation by 5 to find the value for k, we have
1.5/5= k0.3/5
Therefore,
K = 0.3
Having found the value of k,
We substitute this value into the relationship
y = kx
Therefore we have,
y = 0.3x.
The direct variation function is therefore,
y = 0.3x.
[RevyBreeze]
