I just need the Point-Slope Form equation
1 answer:
The point-slope equation formula is , where
is the slope of the line and
is a point on the line.
In our problem, we are adding $200 for each week , or we are changing each week by +200. This means that our slope
, which is essentially the change of the line, is 200. The problem also gave us a coordinate point on the line, which was that at week 4, or when
, we have $1700 in the account, or
. Thus, the coordinate point is
.
Using this information, we can find the equation of the line:
The answer is (y - 1700) = 200(x - 4).
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The the value of f(n)=
Step-by-step explanation:
The Arithemetic sequence is given as a,a+d,a+2d......a(n-1)d
and f(n)=a(n-1)d
The given sequence is 1/3,4/3,7/3...
By comapring with Arithemetic sequence,
we get a=1/3
a+d=4/3
1/3 + d = 4/3
d=1
To find value of f(10):
take n=10
f(n)=
f(n)=
f(n)=
f(n)=
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then
.
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for
:
Combine like terms and
:
We are given .
So we have that .
The vertex happens at .
Compare to
to determine
.
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named
at
:
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is
.
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of
which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.