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irakobra [83]
2 years ago
7

A playstation 5 is $900 and costs $50 per game. A xbox is $400 and costs $60 per game. How many games will it take for both cons

oles to be the same price?
Mathematics
1 answer:
belka [17]2 years ago
3 0

Answer:

It would take a PlayStation 5 and 2 games to equal an Xbox and 10 games.

Step-by-step explanation:

I made a list that increase in the increments of the game price.

Something like this:

900—400~consoles alone

950—460~1 game

1000–520~2 games

1050—580~3 games

1100—640~4 games

1150—700~5 games

1200—760~6 games

1250—820~7 games

1300—880~8 games

1350—940~9 games

1400—1000~10 games

Left side is PlayStation 5 and right side is Xbox. The first row is the price of the consoles alone and then each row after that is the price of the console with an additional game. As you can see, the third row down on the left, the PlayStation 5 with 2 games is $1,000. If you look at the eleventh row on the right, you can see that Xbox with 10 games is also $1,000

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Find the two intersections of the lines. The value of x of the intersections will satisfy the system of equations.
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The answer is a = 0, b = -5, and c= 39.

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<u>step 1</u> :

A quadratic equation means that it should have at least one squared term.

<u>step 2</u> :

The standard form is ax² + bx + c = 0.

<u>step 3</u> :

The solution to the quadratic equation is usually written in the form

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where a = coefficient of x^2

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