Answer:
Option (a) is true.
Step-by-step explanation:
Given the function


(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5
= x² + 2
Thus,
f(g(x)) = x² + 2
Therefore, option (a) is true.
Answer:
Step-by-step explanation:
The Fundamental Theorem of Algebra states that the number of complex roots a polyomial has is equal to its highest exponent. This is a squared polynomial; second degree; quadratic. When it is factored, no matter what types of numbers you get as the solution, you will ALWAYS have 2 of them. When this quadratic is factored, we get that x = 3 and x = 3. That means that this is a quadratic that touches the x-axis at (3, 0). It doesn't go through, it only touches. We do have 2 roots, but since they're the same, we say we have a multiplicity 2 of that root. The closest you'll come to that in your choices is A. Apparently your text refers to multiplicity 2 as a double root.
Answer: The second answer.
Step-by-step explanation:
We know that the bottle of soft drink has a remaining
volume which is 2 / 3 of the original.
Since Jack drank 1 / 4 of the remaining volume, hence only
3 / 4 now finally remains, the total is:
(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2
<span>Hence the bottle is now one half full</span>
Answer:
The answer will be 0.666 repeating.
Step-by-step explanation:
4/6 = 0.6666.....
Since the numerator (4) is smalled than the denominator(6) the answer will be a decimal.
when 4 is divided by 6 it will gives us 0.66666667....
Hope this helps!! I guess