Answer:
C.(3|-4)
Step-by-step explanation:
Given the vector:
![\left[\begin{array}{ccc}4\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
The transformation Matrix is:
![\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C-1%260%5Cend%7Barray%7D%5Cright%5D)
The image of the vector after applying the transformation will be:
![\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4\\3\end{array}\right]\\\\=\left[\begin{array}{ccc}0*4+1*3\\-1*4+0*3\end{array}\right]\\\\=\left[\begin{array}{ccc}3\\-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C-1%260%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C3%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2A4%2B1%2A3%5C%5C-1%2A4%2B0%2A3%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C-4%5Cend%7Barray%7D%5Cright%5D)
The correct option is C
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Answer:
y = -4/3 x=-1/3
Step-by-step explanation:
y = x2 + 2x – 3 and y = x – 1
y= (y + 1)2 + 2(y + 1) - 3 and x= y+ 1
y= 2y + 2 + 2y +2 and x= y+ 1
-3y = 4 and x= y+ 1
y = -4/3 and x = (-4/3) + 1 = -1/3
x2 is x squared or x multiplied by two
Answer:
y = -4/5x + 3
Step-by-step explanation:
Chose any two points on the line:
(5, -2)
(-5, 6)
Slope = (y2 - y1) / (x2 - x1)
6 -(-2) / -5 - 5
8 / -10
-4/5
Equation:
y = mx + b
Plug in x and y using any coords and then plug in m (the slope):
-2 = -4/5 * 5 + b
-2 = -20/4 + b
-2 = -5 + b
Add 5 on both sides:
3 = b
Now our equation is:
y = -4/5x + 3
Please let me know if I've done something wrong!
Answer:
Her account balance will be $2,080 at the end of the year
Step-by-step explanation:
Let
y ----> Susannah's account balance
x ---> is the amount of time in months
we have

This is a linear equation in slope intercept form
where
The slope or unit rate is equal to

The y-intercept or initial value is equal to

Remember that
One year is equal to 12 months
so
For x=12 months
substitute in the linear equation
