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blsea [12.9K]
2 years ago
13

Showplace Lanes charges

Mathematics
1 answer:
Maslowich2 years ago
3 0

Answer:

2 game, $12

Step-by-step explanation:

Given data

Showplace Lanes charges

$4.50 per game as well as

$3 for shoe rental

Let the number of games be x

let the total charge for x games be y

y= 4.5x+3-----------1

Westgate Bowling charges

$4 per game and $4 for

shoe rental

Let the number of games be x

let the total charge for x games be y

y= 4x+4-----------2

Equate 1 and 2

4.5x+3= 4x+4

collect like terms

4.5x-4x= 4-3

0.5x= 1

divide both sides by 0.5

x= 1/0.5

x= 2 games

put x= 2 in equation 1 or 2

y= 4x+4-----------2

y= 4*2+4

y= 8+4

y= $12

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Answer:

Matrix transformation = \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]

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Step-by-step explanation:

Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be: \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right].

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P'= \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}-5\\-2\end{array}\right]= (5,-2)

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R'= \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}-2\\-3\end{array}\right]= (2,-3)

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