I need help with this one.
1 answer:
Answer:
y = 3x + 5
Step-by-step explanation:
The equation in slope- intercept form is
y = mx + c
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (2, 11) ← 2 ordered pairs from the table
m = =
= 3, thus
y = 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, 11 ), then
11 = 6 + c ⇒ c = 11 - 6 = 5
y = 3x + 5 ← equation of linear function
You might be interested in
A)
![\bf \qquad \qquad \textit{Future Value of an ordinary annuity} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7BFuture%20Value%20of%20an%20ordinary%20annuity%7D%0A%5C%5C%5C%5C%0AA%3Dpymnt%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7Br%7D%7Bn%7D%20%5Cright%29%5E%7Bnt%7D-1%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D%20%5Cright%5D%0A%5C%5C%5C%5C)
B)
let's say after 12years, she ended up with a value of say "P"
so.. now she's just sitting on P, making no more deposits to it
just taking whatever the compound 5% interest will give, thus
C)
from A) she made 1,200 every year, for 12 years that's 1200*12, that's how much she put out of pocket, if you got an amount P from A), then the interest is just the difference, or P - (1200*12)
from B), she started with an original amount of P, and ended up with a compounded amount of A after 11years, so the interest is just also the difference, or A - P
add those two folks together, and that's the total interest she got for the 23 years
B)
let's say after 12years, she ended up with a value of say "P"
so.. now she's just sitting on P, making no more deposits to it
just taking whatever the compound 5% interest will give, thus
C)
from A) she made 1,200 every year, for 12 years that's 1200*12, that's how much she put out of pocket, if you got an amount P from A), then the interest is just the difference, or P - (1200*12)
from B), she started with an original amount of P, and ended up with a compounded amount of A after 11years, so the interest is just also the difference, or A - P
add those two folks together, and that's the total interest she got for the 23 years
Answer:
5.833
Step-by-step explanation:
SIX MINUS 0.617 IS 5.833
The sequence is a geometric sequence, because there is no common difference between the 4 terms. We would multiply by 
to get to the next term, therefore proving it to be a geometric sequence.