Answer:
about 5.3
Step-by-step explanation:
Answer:
(f-g)(x)= f(x)-g(x)
=6x-x-6
=5x-6
(f-g)(1)= 5(1)-6
=5-6
= -1
Step-by-step explanation:
The volume of a cylinder:
V = πr²H
A diameter is equal 2r (r-a radius), therefore 2r = 10in ⇒ r = 5in.
H = 3r ⇒ H = 3 · 5in = 15in
subitute:
V = π · 5² · 15 = π · 25 · 15 = 375π (in³) ≈ 375 · 3.14 = 1,177.5 (in³)
Answer: V = 1,177.5 in³
This generates the recurrence relation
Because you have
it follows that
for all
.
For
, you have
so that, in general, for
,
, you have
Now, for
, you have
and so on, with a general pattern for
,
, of
Putting everything together, we arrive at the solution
To show this solution is sufficient, I've attached is a plot of the solution taking
and
, with
. (I was hoping to be able to attach an animation that shows the series solution (orange) converging rapidly to the exact solution (blue), but no such luck.)
Hi there!
4y - 2(1 - y) = -44
Begin by distributing -2:
4y - 2(1) - 2(-y) = -44
Simplify. A negative times a negative equals positive.
4y - 2 + 2y = -44
Combine like terms:
6y - 2 = -44
Add 2 to both sides:
6y = -42
Divide both sides by 6:
y = -7