Answer:
x= 3.096
Step-by-step explanation:
divide both sides by 5: 3^(x-1)= 10
then take the log to get log_3 (10) = x-1 = 2.096
x= 3.096
The answer would be the first one.
I find it easier to expand the equation (you still get the same answer).
= 2 * 7x + 2 * 3y + 2 * 3
= 14x + 6y + 6
Hope this helps!
I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7
II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
Answer:
1200
Explanation:
Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:
nCr = n! / r! * (n - r)!
where n= total number of items
r= number of items chosen at a time
Combinations are used when the order of events do not matter in calculating the outcome.
We calculate using the formula:
(30×20×12)÷3!=1200
There are therefore 1200 ways for the three distinct items to not be in same row or column
An inverse function is a function that reverses another function, so we have a function called:
Then, the inverse function will be as follows:
Given that
, we need to isolate x in terms of y:
∴
So:
and
therefore, exchanging variables x and y:
and
and
Which are the figures shown below.
