Hi there!
To add fractions there are three simple steps:
1. Make sure the bottom numbers (denominators) are the same. → In your case you're all good, both your denominators are 8.
2. Add the top numbers (numerators) and put that answer over the denominator :
-3 + 7 = 4 → 
3. Simplify the fraction (if needed). → In your case, you do need to simplify your fraction :
Divide both your numerator and denominator by 4 to get your simplified fraction :
4 ÷ 4 = 1
8 ÷ 4 = 2
Your simplified fraction is : 
There you go! I really hope this helped, if there's anything just let me know! :)
f(g(x)) You plug in g(x) for x
f(x) = 2x + 3
f(g(x)) = 2(g(x)) + 3
f(g(x)) = 2(4x - 5) + 3
f(g(x)) = 8x - 10 + 3
f(g(x)) = 8x - 7
g(f(x)) You plug in f(x) for x
g(x) = 4x - 5
g(f(x)) = 4(f(x)) - 5
g(f(x)) = 4(2x + 3) - 5
g(f(x)) = 8x + 12 - 5
g(f(x)) = 8x + 7
Answer:
0.53
Step-by-step explanation:
0.533
Decimal places go 10ths, 100ths, 1000ths, and so on. The nearest hundred therefore, is the first 3. Looking at the next digit, which is 3, because it's less than 4, we know we have to round down, which makes the answer 0.53
Sequence: 1,7,49,343,??,16807, 7th term, 8th....
we notice that:
1st term = 1 or 7^0
2nd term = 7 or 7^1
3rd term =49 or 7^2
4th term = 343 or 7^3
5th term = ?? or 7^4 (=2401)
6th term = 16807 or 7^5
7th term = 117 647 or 7^6
nth term = (7)^(n-1)
Answer:
Common difference is 13 for this arithmetic sequence 29,42,55,68,...
Step-by-step explanation:
Given the arithmetic sequence 29,42,55,68,...
we have to find the common difference of the above sequence.
Common difference of arithmetic sequence is the difference between two successive terms. Therefore, to find common difference we take any pair of successive numbers, and subtract.
Common difference,
d=42-29=13
d=55-42=13
d=68-55=13
Hence, the difference between two successive terms is 3
∴ Common difference is 13
Step-by-step explanation: