Answer:
Step-by-step explanation:
10
2(x-3)5x = 5(2x6)
2(x-3)5x = 60
2x -6 x 5x = 60
2x -30x = 60
-28x = 60
28x = -60
x = -15/7
Not sure if I'm correct, but hope it helped
It is 11 the answer is a that is what i worked out
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:
The time it will take to fill the vat if both pipes are left open is = 4.3 hours
<h3>Calculation of time taken to fill vat</h3>
The number of pipes a vat has = 2
The time it takes the inlet pipe to fill the vat = 3hrs
The time it takes the outlet pipe to empty the vat= 10hrs
Therefore, the time it will take to fill the vat if both pipes are left open is;
1/t = 1/3-1/10
1/t = 7/30
Make t the subject of formula,
t = 30/7
t= 4.3 hours
Learn more about hours here:
brainly.com/question/291457
#SPJ1