Answer:
.
Step-by-step explanation:
Given the statement
If 
, then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
.
2x + 1 = 73
2x = 72
x = 36
the 2 integers are 36 and 37
Its b
Y intercept means x = 0, on x= 0 y is also zero so the cordinate is (0,0)
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
$997,500
Step-by-step explanation:
Tract 1 = 25 acres
Tract 2 = 1 square mile
Cost of land per acre = $1500
Number of acres per square mile = 640 acres
Total number fo acres :
(Tract 1 + Tract 2)
(25 + 640) acres
= 665 acres
Total cost :
665 * $1500
= $997,500
