9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Answer:
n=2m
Step by step:
total=rate of movie watching per month times months
n=2 movies per month times 'm' months, so,
n=2m
Step-by-step explanation:
8x + 6) - (x + 4)
8x + 6 - (x + 4)
8x + 6 - x - 4
7x + 2
Answer: b) Large blue t-shirt & Medium RC jeans
<u>Step-by-step explanation:</u>
The subscript numbers attached to the matrix letter represents the:
ROW, COLUMN
![A=\left[\begin{array}{ccc}a_{1,1}&a_{1, 2}&a_{1, 3}\\a_{2,1}&a_{2, 2}&a_{2, 3}\\a_{3,1}&a_{3, 2}&a_{3, 3}\end{array}\right] \qquad B=\left[\begin{array}{ccc}a_{1,1}&b_{1, 2}&b_{1, 3}\\b_{2,1}&b_{2, 2}&b_{2, 3}\\b_{3,1}&b_{3, 2}&b_{3, 3}\end{array}\right]\\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B1%2C1%7D%26a_%7B1%2C%202%7D%26a_%7B1%2C%203%7D%5C%5Ca_%7B2%2C1%7D%26a_%7B2%2C%202%7D%26a_%7B2%2C%203%7D%5C%5Ca_%7B3%2C1%7D%26a_%7B3%2C%202%7D%26a_%7B3%2C%203%7D%5Cend%7Barray%7D%5Cright%5D%20%5Cqquad%20B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B1%2C1%7D%26b_%7B1%2C%202%7D%26b_%7B1%2C%203%7D%5C%5Cb_%7B2%2C1%7D%26b_%7B2%2C%202%7D%26b_%7B2%2C%203%7D%5C%5Cb_%7B3%2C1%7D%26b_%7B3%2C%202%7D%26b_%7B3%2C%203%7D%5Cend%7Barray%7D%5Cright%5D%5C%5C)
A₁,₃ = 1st row, 3rd column
1st row is Blue, 3rd column is Large
B₃,₂ = 3rd row, 2nd column
3rd row is RC jeans, 2nd column is Medium
A₁,₃ + B₃,₂ = Large blue t-shirt & Medium RC jeans