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ycow [4]
3 years ago
15

In Exercises 29 and 30, describe the possible echelon forms of the standard matrix for a linear transformation T . Use the notat

ion of Example 1 in Section 1.2. 29. T W R3 ! R4 is one-to-one. 30. T W R4 ! R3 is onto.
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

<u>note:</u>

<u><em>solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment</em></u>

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Which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
snow_tiger [21]

Answer:

The statements describe transformations performed in f(x) to create g(x) are:

a translation of 5 units up ⇒ c

a vertical stretch with a scale factor of 2 ⇒ d

Step-by-step explanation:

  • If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
  • If f(x) translated vertically k units, then its image h(x) = f(x) + k

Let us use these rule to solve the question

∵ f(x) = x²

∵ g(x) is created from f(x) by some transformation

∵ g(x) = 2x² + 5

→ Substitute x² by f(x) in g(x)

∴ g(x) = 2f(x) + 5

→ Compare it with the rules above

∴ m = 2 and k = 5

→ That means f(x) is stretched vertically and translated up

∴ f(x) is stretched vertically by scal factor 2

∴ f(x) is translated 5 uints up

The statements describe transformations performed in f(x) to create g(x) are:

  • a translation of 5 units up
  • a vertical stretch with a scale factor of 2
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3 years ago
PLZ IF UARE BIG BRAIN AT MATH I NEED HELP PLZ :(
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Answer:

A and B is correct

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Your mother gave you $15.00 to buy a present. This covered 3/4 of the cost. How much did the present cost?
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