tgreenberg2002

18.06.2020 • 

Mathematics

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes? K – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18) k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2) k – 2 = 9(t – 18) k – 18 = 9(t – 2)

Ответ:

aleikebanks

07.10.2021

Mathematics

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Equation: 5t² − 10t + 13 = 0

No

Step-by-step explanation:

h(t) = -5t² + 10t + 22

When h(t) = 35:

35 = -5t² + 10t + 22

5t² − 10t + 13 = 0

This equation must have at least one real solution if the ball is to reach a height of 35 meters.  Which means the discriminant can't be negative.

b² − 4ac

(-10)² − 4(5)(13)

100 − 260

-160

The ball does not reach a height of 35 meters.

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