Answer:
f(n) = -11 + 22(n - 1)
<em>f(1) is your initial value.</em>
f(1) = -11 + 22(1 - 1)
f(1) = -11
------------------------------------------------------------
f(2) = -11 + 22(2 - 1) = 11
f(3) = -11 + 22(3 - 1) = 33
f(4) = -11 + 22(4 - 1) = 55
<em>f(n - 1) is just a notation for the previous term</em>
<em>Using the equation f(n) = f(n - 1) + _______ :</em>
f(2) = f(1) + ??? = 11
f(3) = f(2) + ??? = 33
f(4) = f(3) + ??? = 55
f(2) = -11 + ??? = 11
f(3) = 11 + ??? = 33
f(4) = 33 + ??? = 55
f(2) = -11 + 22 = 11
f(3) = 11 + 22 = 33
f(4) = 33 + 22 = 55
∴ f(n) = f(n - 1) + 22
.
Answer:
t = 0, 1, 4, 8
h = 0, 12, 0 , 18
Step-by-step explanation:
t = 0 + 1 + 3 + 4
/ x1 - 5 (2) x + 4x + 9
h = 0, 12, 0, 18
After 18 seconds the ball attains...
x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)
Answer:
8x^3-46x^2-5x+18
Step-by-step explanation:
The volume of a rectangular prism is L*W*H where
L=length
W=width
H=height.
So we want to probably find the standard form of this multiplication because writing (4x+3)(x-6)(2x-1) is too easy.
Let's multiply (4x+3) and (x-6), then take that result and multiply it to (2x-1).
(4x+3)(x-6)
I'm going to use FOIL here.
First: 4x(x)=4x^2
Outer: 4x(-6)=-24x
Inner: 3(x)=3x
Last: 3(-6)=-18
---------------------------Add.
4x^2-21x-18
So we now have to multiply (4x^2-21x-18) and (2x-1).
We will not be able to use FOIL here because we are not doing a binomial times a binomial.
We can still use distributive property though.
(4x^2-21x-18)(2x-1)
=
4x^2(2x-1)-21x(2x-1)-18(2x-1)
=
8x^3-4x^2-42x^2+21x-36x+18
Now the like terms are actually already paired up we just need to combine them:
8x^3-46x^2-5x+18
