Find the first four iterates of the function f(x) = 3x - 7 with an initial value of x0 = 4.
a.
-5, -8, -17, -44
c.
5, 8, 17, 44
b.
-7, -11, -15, -49
d.
7, 11, 15, 49

The answer is:

c. 5, 8, 17, 44

To find the iterates we need to take an initial input (x value) into the fuction, giving as result an output(iterate), then, the next input will be the previous output (iterate).

So,

Being w,x and y real numbers, the iterates are x, y, and z.

We are given the function,

Where, the initial input (x0) is 4

Now

- Iterating, starting with "x" equal to 4, we have:

So, the first iterate is 5.

- Iterating with "x" equal to 5, we have:

So, the second iterate is 8.

- Iterating with "x" equal to 8, we have:

So, the third iterate is 17.

- Iterating with "x" equal to 17, we have:

So, the fourth iterate is 44.

Hence, the iterates of the function with an initial value of x(0)=4 , are:

5, 8, 17, 44

Therefore, the correct option is c. 5, 8, 17, 44

Have a nice day!

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb