Answer:
f(n) = 64(3/4)^(n-1).
Step-by-step explanation:
The common ratio is 48/64 = 36/48 = 3/4.
For a GS nth term = a1 r^(n-1) where r = the common ratio, a1 = the first term, and n = the number of peaks reached.
The axplicit function is 64(3/4)^(n-1).
The angle adjacent to angle 3 = 45 The figure is a kite and the long diagonal cuts the top angle in 2 Therefore < 3 = 45 degrees.
Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
_____
The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
Answer: $10272.17
Step-by-step explanation: Please see attachment for explanation
Answer:
70 and 14
Step-by-step explanation:
You divide 84 into 6 parts, so you get 70 and each part is 14, 14x5=70 then if you add 14 its 84.