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Given the expression (8+3i)+(-2+i)
We need to simplify it.
(8+3i)+(-2+i)
First we have to remove the parenthesis.
8+3i-2+i
As we know that multiplication of positive and negative is negative.
Now we will add or subtract like terms. Like terms means here i with i and constant term with constant term. So here we will add 3i and i. Also subtract 2 from 8.
8-2 +3i+i
6+4i
We have got the required answer.
The simplified answer is 6+4i.
Answer:
it is 21ft
Step-by-step explanation:
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: 21
/4 Decimal Form:
5.25 Mixed Number Form: 5 1
/4
Step-by-step explanation:
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
