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23.01.2020 •
Mathematics
H(t)=-16t^2+48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds
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Ответ:
a) slope is the change in y over the change in x:
change in y = 840 - 600 = 240
change in x = 6-0 = 6
slope = 240 / 6
slope = 40
b) point slope form is written as y -y1 = m(x-x1)
m is the slope found in part a.
point slope form = y - 600 = 40(x-0)
slope intercept form is written as y = mx +b
where m is the slope found in part a and b is the y intercept, which is the value of y when x is 0
slope intercept form = y = 40x+600
standard form is written as ax +by = c where a is the slope, b is the valoe of x in the y-intercept and cis the negative value of the y-intercept
standard form = 40x - y = -600
c) function notation changes the y to f(x) using the slope intercept form y = 40x +600 change y to f(x):
f(x) = 40x +600
d) replace x with 7 and solve :
y = 40(7) +600 = 280 + 600 = $880