Answer:
I believe it’s A
Step-by-step explanation:
#2 is 69.4 inches and #3 is $5.00
Answer:
The values of a, b and c are:
Step-by-step explanation:
Step 1:
First Confirm the sequence is quadratic by finding the second difference.
Sequence = ![1,11,27,49](https://tex.z-dn.net/?f=1%2C11%2C27%2C49)
1st difference:
2nd difference:
Step 2:
Just divide the second difference by 2, you will get the value of
.
6 ÷ 2 = 3
So the first term of the nth term is ![3n^{2}](https://tex.z-dn.net/?f=3n%5E%7B2%7D)
Step 3: Next, substitute the number 1 to 5 into ![3n^{2}](https://tex.z-dn.net/?f=3n%5E%7B2%7D)
n = 1,2,3,4,5
3n² = 3,12,27,48,75
Step 4:
Now, take these values (3n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
3n² = 3,12,27,48,75
Differences:
1 - 3 = -2
11 - 12 = -1
27 - 27 = 0
49 - 48 = 1
Now the nth term of these differences (-2,-1,0,1) is (n - 1) - 2.
so b = 1, and c = -3
Step 5: Write down your final answer in the form an² + bn + c.
3n² + (n - 1) -2
= 3n² + n - 1 - 2
= 3n² + n - 3
Therefore, the values of a, b and c are:
Answer:
t= $ 6.75 cost for table
c= $ 1.50 chair cost
Step-by-step explanation:
Answer:
60 CDs
Step-by-step explanation:
Given that :
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Revenue made= $400
Profit made = $265
Number of CD produced =?
Let Number of CD's = x and program = y
$(0.5y + 5x) = 400
Y = (400 - 5x) / 0.5
y = 800 - 10x
Production :
$(1.75x + 0.15y)
Total cost of production - Revenue made = profit
(1.75x + 0.15y) - (5x + 0.5y) = 265
1.75x + 0.15y - 5x - 0.5y = 265
1.75x - 5x 0.15y - 0.15y = 265
3.25x + 0.35y = 265 - - - (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
x = 15/ 0.25
x = 60