ANSWER
4 roots.
EXPLANATION
The given polynomial function is

This is a fourth degree polynomial.
According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.
This roots include both real and complex roots.
Also repeated roots or roots with multiplicity greater than one are counted as distinct.
Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.
Answer:
78.80
Step-by-step explanation:
just add the two values
Sin J = cos K
sin J = cos (90 - J)
So, K = 90 - J
Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.
Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
Answer:
Step-by-step explanation:
Upper box in the diamond: Add the two numbers ⇒ (-2) + 3 = -1
Bottom box in the diamond : Multiply the two numbers ⇒ (-2) * 3 = -6
3) Upper box = (-6) + (-3) = (-9)
Bottom box = (-6) *(-3) = 18
4) Upper box = 1 +(-11) = -10
Bottom box = 1 *(-11) = -11
5) Upper box = 7+8 = 15
Bottom box = 7*8 = 56