Answer:
x = ± 12
Step-by-step explanation:
Given
f(x) = x² - 144
To find the roots set f(x) = 0, that is
x² - 144 = 0 ( add 144 to both sides )
x² = 144 ( take the square root of both sides )
x = ± = ± 12
A quantity with an initial value of 980 decays exponentially at a rate of 1% every 2
1 answer:
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Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;
The plot of the above point is completed using MS Excel as shown in the attached diagram.
