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 = 
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 
Step 3: Next, substitute the number 1 to 5 into 
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:
Simplify the h's bysubtracting 5h (since it is negative) from 10h then add 6 and 3. Your simplified expression should be <em>5h+9</em><em><u /></em><u />.
Also it may be good to know that you can only add and subtract numbers of like form. Ex. 4v and 7v; 9 and 768; 98767jk and 6jk; 12 and 21
Answer:
1lb. = $1.60
7lb. = $11.20
Step-by-step explanation:
$<u>1</u><u>2</u><u>.</u><u>8</u><u>0</u> = <u>x</u>
8 1
cross multiply
8x= $12.80
divide $12.80÷8x
x= $1.60
7.11 / 9 = 0.79
This is assuming that they equally split the candy among the jars.
The answer is 0.79 lbs of candy per jar.
Hope this helps! :)
Answer:
It's true.
Explanation:
2(segment ST) = RT
divide both sides by two
ST = RT/2
You would have two equal halves of RT. One half equals RS. The other half equals ST.
Here's a rough picture of the line.
R _____________S_____________ T
S is in the middle of the line which makes it the midpoint.
It's true. S is the midpoint of RT.