Answer:
3 to the power of 5 = 35 = 243
Step-by-step explanation:
Answer:
y=-2/5x-3
Step-by-step explanation:
the slope is m and the y intercept is b
Answer:

Step-by-step explanation:
Given:
The function 'g(x)' is given as:

Now, the function 'f(x)' is given as:

So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by
in the 'g(x)' function equation. This gives,

Using the identity
, we get:

Hence the function f(x) is given as:

Answer:
The average rate of change between x = 2 and x = 4 is of 4.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x) in an interval [a,b] is given by:

In this question:

Thus:


Average rate of change:




The average rate of change between x = 2 and x = 4 is of 4.
Answer:
168.43524
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1
2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524