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dlinn [17]
3 years ago
9

Write an absolute value inequality for the recommended air pressure range for each type of ball. Use the variable x for the ball

's actual air pressure. Soccerball 12.05 recommended psi tolerance+3.55 Basketball 8.00 average recommended psi tolerance +0.5 volleyball 4.44 average recommended psi tolerance +0.18
Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer:

For Soccer ball:

x = | 12. 05 + 3.55 |

For basketball:

x = | 8.00 + 0.5 |

For volleyball:

x = | 4.44 + 0.18 |

Step-by-step explanation:

Given the following :

Let x = ball's actual air pressure

_________avg Recommended psi ___tolerance

Soccer ball____ 12. 05 ____________+3.55

Basketball _____8. 00_____________+0.5

Volleyball _____ 4.44 _____________ + 0.18

Actual air pressure = | average recommended psi + tolerance |

Hence ;

For Soccer ball:

x = | 12. 05 + 3.55 |

For basketball:

x = | 8.00 + 0.5 |

For volleyball:

x = | 4.44 + 0.18 |

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Answer:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

Step-by-step explanation:

Given the equation

y = -2x+ 5

<u>Checking the ordered pair (2, -9)</u>

substituting x = 2 and y = -9 in the equation

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1

FALSE!

L.H.S ≠ R.H.S

Thus, the ordered pair (2, -9) is NOT a solution of the equation.

<u>Checking the ordered pair (-2, 9)</u>

substituting x = -2 and y = 9 in the equation

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9

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L.H.S = R.H.S

Thus, the ordered pair (-2, 9) is a solution of the equation.

Conclusion:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

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