Answer:
7
Step-by-step explanation:
8 + 12 + 7 + 5 + 2= 34
34/5 =6.8
Rounded =7
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
The original expression is given by:

The correct way to rewrite the expression is given by:

For this, we use two properties:
Associative property:
The way of grouping the factors does not change the result of the multiplication:
Commutative property:
The order of the factors does not vary the product:
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:
Reciprocal of 5/18 is 18/5.
5/18 x 18/5 = 90/90
= 1