Answer:
f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123
Step-by-step explanation:
Here, we simply will place g(x) into f(x)
So every x in f(x) is replaced by g(x)
Thus, we have;
(x^2 + 6x + 11)^2 + 2
= (x^2+6x-11)(x^2 + 6x -11) + 2
= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2
= x^4 + 12x^3 + 14x^2 -132x + 123
Answer:
-4
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is 
The given function is
.
.
.
The average rate of change from x=3 to x=4 is given by:
Answer:
25,625
Step-by-step explanation:
If your current salary is the 100%, and you get a 2.5% increase, that means the new salary would be 102.5% of 25,000. This percentage could also be written as 1.025, which you would multiply to 25,000 to get your new salary.
1.025 · 25,000 = 25,625
Therefore, your new salary would be $25,625
Answer:
2:30 pm
Step-by-step explanation:
In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.
From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.
<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>
<em>90/20 = 4.5 hours</em>
<em />
<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>
K can be 10,11,14,25
Work
(2x+4)(X+3)
(2x+3(X+4)
(2x+6)(X+2)
(2x+2)(X+6)
(2x+1)(X+12)
(2x+12)(X+1)