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julia-pushkina [17]
3 years ago
5

Please help

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:

A piece-wise function is given as,

f(x)=\left\{\begin{matrix}-x+1 & x\leq 0\\ x+1 & x>0\end{matrix}\right

So, we see that,

The piece-wise function the function f(x)=|x|+1.

Substituting the values of x in the function, we can find the ordered pairs (x,f(x)) which together gives the graph of the function.

Thus, the graph for the given function can be seen below.

We can see that from this graph that,

f(x)\rightarrow \infty as x\rightarrow \infty and f(x)\rightarrow \infty as x\rightarrow -\infty

Also, the vertex of the graph is (01,), the point at which graph changes its direction.

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SOVA2 [1]
Covert to a common denominator to help:
A LCD is 24.
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So 12/24, 15/24, 20/24
Convert back into their original denominators:
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F. 
6 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
What is the volume of the prism?<br> 2 cm<br> 3cm<br> 11 cm PLS HURRY
mafiozo [28]

Answer:

66

Step-by-step explanation:

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4 0
2 years ago
A family paid $142.80,which included $6.80 in taxes,for 4 play tickets.Each ticket costs the same amount.How much did each perso
Alexandra [31]
Each persons ticket costs $34.00(D)
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3 0
3 years ago
Please help me this is important
Dmitrij [34]

Answer:

C. II, III, and IV only

Step-by-step explanation:

Lol I haven't done one of these in a while, so thanks for the practice!

It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.

4 0
3 years ago
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