We know that the line is tangent at the point (2,8)
The derivative of the function at x=2 is
So, the tangent line passes through the point (2,8) and has slope 2. The equation is
This line crosses the x axis where y=0:
Answer:
b/4
Step-by-step explanation:
After rewriting the quotient as a fraction,
We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to
Answer:
(a) P(A1 ∪ A2) = 0.35
Step-by-step explanation:
(a) A1 ∪ A2 :
We start by defining the events.
A1 : '' awarded project 1''
A2 : ''awarded project 2''
A3: ''awarded project 3''
In set theory we write the union of events A and B as A∪B.
A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.
The probability is given by the equation :
P(A∪B) = P(A) + P(B) - P(A∩B) (1)
Where the event (A∩B) is the event where A and B occur at the same time
and P(A∩B) is the probability of (A∩B)
Using the equation (1) :
P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)
P(A1 ∪ A2) = 0.22 + 0.25 - 0.12
P(A1 ∪ A2) = 0.35
180 = 2n + 128
2n = 52
n = 26°
180 - 128 = 52
90 + 52 + m = 180
142 + m = 180
m = 38°
Answer: n = 26° and m = 38°
