How do I do the problem below -
1 answer:
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This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.
Doing this, we get that the story will be composed of 792,800 words.
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- According to the table, pages of dimensions 8.5in x 11in have 800 words.
- The book has 991 pages, of 8.5in x 11in dimensions.
Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:
The story will be composed of 792,800 words.
A similar question is given at brainly.com/question/19905617
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
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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.
7x+2
Step-by-step explanation:
add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y
sides of the pentagon are
5x+3
2x+3
7x+4
9x-10
5x+8
28x+8=4y
7x+2 = y
7x+2 = answer
gathmath
gathmathier6961
another way :
in a standardized test you may want to use real numbers
make x equal a prime number like 3
so then the sides are
18
9
25
17
23
=
92
then divide by 4
23
then divide by 3
which is 7 remainder of 2
which is
7x+2
