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: C
Step-by-step explanation: 8 (1/3) 16 (2/3) 24 (3/3)
Answer:
83
Step-by-step explanation:
The 126 angle is an exterior angle of the triangle.
The 43 and x angles are the two remote interior angles of the 126 angle.
<em>Theorem:</em>
<em>The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.</em>
x + 43 = 126
x = 83
Answer:
Paul will have no more than $ 450 in next 8 weeks.
Step-by-step explanation:
From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (
), measured in monetary units, and week earning (
), measured in monetary units, multiplied by a number of weeks (
), dimensionless:
(1)
Now we clear the number of weeks within the formula:

If we know that
,
and
, then the number of weeks is:


Paul will have no more than $ 450 in next 8 weeks.
Answer:
15/4 6/5
Step-by-step explanation:
there simplified