Answer:
(g°f)x =16 when x = 5
Step-by-step explanation:
It might be easier to understand if you wrote this the other acceptable way.
g(x) = x^4
f(x) = 2x - 8
g(f(x)) means that in g(x) wherever you see and x you put f(x)
g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)
g(2x - 8) = (2x - 8)^4
You really don't want to expand this (although it would give you the right answer eventually).
g(2*5 - 8) = (2 * 5 - 8)^4
g(2*5 - 8) = (10 - 8)^4
g(2*5 - 8) = 2^4
Answer 16
<u>Given</u>:
The height of the bird at time t is given by the function 
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;
Switch sides, we get;
Let us solve the equation using the quadratic formula.
Thus, we get;
Simplifying, we get;
The values of t are given by
and 
and 
and 
Since, the value of t cannot be negative, then
Thus, the time taken by the bird to eat the worm is seconds.
Hence, Option B is the correct answer.
Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Step-by-step explanation:
Since we have given that
ΔPQS, and ΔSQR,
Consider, ΔPQS,
As we know that " the length opposite to the largest angle is the shortest segment."
So, According to the above statement.
Similarly,
Consider, ΔSQR,
Again applying the above statement, we get that,
Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Answer:
Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function.
Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.
The graph is reflected over the x-axis.
The graph is also reflected over the y-axis.
The graph is vertically stretched by a factor of 2.
The graph is translated ½ unit to the left.
Hello!
If Point B is already 7 units away from line m, then when it gets reflected, I believe it should maintain its 7 units just on the other side of the line.
Hope this helps! (Please let me know if you have any questions or concerns.)
