First, rewrite the equation 
with the base equal to 5. Note that:
Then
Since the bases are equal, you have that powers are equal too:
Answer: 
Answer:
a) $109
b) 
c) 
Step-by-step explanation:
a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:
b) Profit is given by Revenue minus Cost:
c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:
Answer:
D. 1/2
Step-by-step explanation:
Coin tosses are independent. Past results don't affect future probabilities. So the probability of getting heads on the fourth toss is still 1/2.
Answer:
<h2>(f · g)(x) is odd</h2><h2>(g · g)(x) is even</h2>
Step-by-step explanation:
If f(x) is even, then f(-x) = f(x).
If g(x) is odd, then g(-x) = -g(x).
(f · g)(x) = f(x) · g(x)
Check:
(f · g)(-x) = f(-x) · g(-x) = f(x) · [-g(x)] = -[f(x) · g(x)] = -(f · g)(x)
(f · g)(-x) = -(f · g)(x) - odd
(g · g)(x) = g(x) · g(x)
Check:
(g · g)(-x) = g(-x) · g(-x) = [-g(x)] · [-g(x)] = g(x) · g(x) = (g · g)(x)
(g · g)(-x) = (g · g)(x) - even
Answer:
y=4/3-1/6x
Step-by-step explanation:
1) subtract "x" from both sides:
6y=8-x
2)divide by 6 on both sides(EVERYTHING WILL BE DIVIDED BY 6)
6y/6=(8-x)/6
y=(8-x)/6
2)simplify:
y=4/3-x/6
