Answer: 4y
Step-by-step explanation:
To
3x^2 - 2x^2 -1x^2 = 0
0 +4y = 4y
P / 8 = -9
so
P = -9(8)
P = -72
hope it helps
Answer:
2/3
Step-by-step explanation:
Simplifying the Complex Fraction
Convert Mixed Numbers to Fractions
56114=5654
Method 1 : LCD Multiplication
The LCD for 6 and 4 is 12
Multiply top and bottom by the LCD
12×5612×54=1015
convert to mixed numbers and
reduce fractions where possible
=1015=23
Method 2 : Fraction Division
Divide the top fraction by the bottom
(multiply top by reciprocal of bottom)
56÷54
=56×45
=2030
convert to mixed numbers and
reduce fractions where possible
=2030=23
Answer:
- vertical scaling by a factor of 1/3 (compression)
- reflection over the y-axis
- horizontal scaling by a factor of 3 (expansion)
- translation left 1 unit
- translation up 3 units
Step-by-step explanation:
These are the transformations of interest:
g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k
g(x) = f(x) +k . . . . vertical translation by k units (upward)
g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis
g(x) = f(x-k) . . . . . horizontal translation to the right by k units
__
Here, we have ...
g(x) = 1/3f(-1/3(x+1)) +3
The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:
- vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
- reflection over the y-axis . . . 1/3f(-x)
- horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
- translation left 1 unit . . . 1/3f(-1/3(x+1))
- translation up 3 units . . . 1/3f(-1/3(x+1)) +3
_____
<em>Additional comment</em>
The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.
The horizontal transformations could also be described as ...
- translation right 1/3 unit . . . f(x -1/3)
- reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)
The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.
Answer:
2/3 or 2:3
Step-by-step explanation:
If 6 out of 10 students completed the homework then 4 out of 10 students did not complete the homework.
So the answer is 4/6 but we are not done yet.
The 4 comes from people who didn't do it and the 6 comes from people who did.
Since its asking the ratio of students who did not do their homework to those who did the 4 comes first.
As I said we are not done yet since we have to simplify.
4/6=2/3
So the answer is 2/3 or 2:3