Simplify:
The equation is already simplified =====> (6x² - x - 1)/(x - 1)
Solve:
Solution (6x² - x - 1)/(x - 1) =======> 6x + 5 + 4/x - 1
Steps:
Apply Long Division on:
(6x² - x - 1)/(x - 1)
Divide:
(6x² - x - 1)/(x - 1):
(6x² - x - 1)/(x - 1) = 6x + 5x - 1/x - 1
= 6x + 5x - 1/x - 1
Divide:
5x - 1/x - 1
5x - 1/x - 1
= 5 + 4/x - 1
Answer ======> 6x + 5 + 4/x - 1
Hope that helps!!!!! : )
Parallel are two equations that have the same slope but different y intercepts.
If the y intercepts are also the same, it is just the same line.
Answer:
- A'(4, -4)
- B'(0, -3)
- C'(2, -1)
- D'(3, -2)
Step-by-step explanation:
The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:
(x, y) ⇒ (-y, x)
The rotated points are ...
A(-4, -4) ⇒ A'(4, -4)
B(-3, 0) ⇒ B'(0, -3)
C(-1, -2) ⇒ C'(2, -1)
D(-2, -3) ⇒ D'(3, -2)
_____
<em>Additional comment</em>
To derive and/or remember these transformations, it might be useful to consider where a point came from when it ends up on the x- or y-axis.
A point must have come from the -y axis if rotating it 270° CW makes it end up on the +x-axis. A point must have come from the x-axis if rotating it 270° makes it end up on the +y axis. That is why we write ...
(x, y) ⇒ (-y, x) . . . . . . the new x came from -y; the new y came from x
Answer:
150
Step-by-step explanation:
Since the value of the bond increases by 4% each year and only 1 year passed by then the ROI is not compounded and we only need to find the value before the 4% was implemented. In order to add 4% to a value we would multiply that value by 1.04 which increases that value by 4%. So, to find the value before the interest was added we would need to divide the new value by 1.04 instead.
$156 / 1.04 = $150
Finally, we can see that the value of the bond when Tyler's mom purchased it was 150
