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Margaret [11]
3 years ago
9

Expand and simplify (x-4) (x+3) (x-10)

Mathematics
1 answer:
Ivahew [28]3 years ago
5 0

Answer:

=(x-4)(x+3)(x-10)

=11x³-7x²+58x+120

hope it helps.

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Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction an
djverab [1.8K]

Answer (x represents the first direction and the y represents the second direction):

  1. (x - 3) × (y + 5)
  2. New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroom

I hope this helps!

3 0
3 years ago
Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY
Ierofanga [76]

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.

8 0
2 years ago
Could you explain how you got the answer to please
Zina [86]

Answer:

I think is 53 A

Step-by-step explanation:

6 0
3 years ago
A business owner pays $1,200 per month in rent and a total of $120 per hour in employee salary for each hour the store is open.
Angelina_Jolie [31]

Answer: I'm pretty sure it's 200x - 120x = 1,200

Step-by-step explanation:

7 0
3 years ago
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George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent
Natali5045456 [20]
39 is 60% of 65.
Hope it helps!
6 0
3 years ago
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