Answer:
108
Step-by-step explanation:
We can rewrite f(x+2) to make it easier to evaluate:
f(x+2) = (6x +5)x -8
Since we want f(6), we want x+2 = 6, or x=4.
f(6) = (6·4 +5)·4 -8 = 29·4 -8
f(6) = 108
For this case we must solve each of the equations proposed:
A) 
We apply distributive property to the terms within parentheses:

Subtracting 6 from both sides of the equation we have:

Dividing between -12 on both sides of the equation:

B) 
We apply distributive property to the terms within parentheses:

We add 5m on both sides of the equation:

Dividing between 2 on both sides of the equation:

C) 
We apply distributive property to the terms within parentheses:

We subtract 14 from both sides of the equation:

Dividing between -7 on both sides of the equation:

D) -
We apply distributive property to the terms within parentheses:

We add 28 to both sides of the equation:

Dividing between -21 on both sides of the equation:

Answer:

Answer: 693 years
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:

k = rate constant
t = time taken for decomposition = 1
= Initial amount of the reactant
= amount of the reactant left =



for half life : 

Putting in the values , we get


Thus half life of this isotope, to the nearest year is 693.
Step-by-step explanation:
3d + 4.5g <= 18.
3 possible combinations are:
0 DVD and 4 Video games,
1 DVD and 3 Video games,
2 DVDs and 2 Video games.