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Nimfa-mama [501]
3 years ago
8

If f(x)= 3x-1 and g(x)=2x-3, for which value of x does g(x)= f(2)

Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

g(4)=f(2)

Step-by-step explanation:

f(2)=3(2)-1

f(2)=6-1

f(2)=5


We then get:

g(x)=f(2)

subsitute 5 for f(2)

g(x)=5

now solve

5=2x-3

add 3

8=2x

divide 2

4=x

so the answer is x=4 or  

g(4)=f(2)

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3 0
3 years ago
Which composition of transformations maps figure EFGH to figure E"F"G"H"?
Lady bird [3.3K]

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

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3 years ago
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Answer:

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Step-by-step explanation:

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The length of the Titanic was 882 ft. Porter's history class is building a model of the Titanic. The model is 1/100 of the actua
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The actual length is 882 ft.
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