tantoine2704
21.05.2021 •
Mathematics
h = -16t ²+ 3t + 6 you throw a baseball at a height of 6 feet above the ground. The height h (in feet) of the ball after t seconds can be modeled by the equation. What is the maximum of the ball? What part of the parabola are you solving for? After how many seconds does the ball hit the ground?
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Ответ:
step 1
find the equation of the line Josie’s and Salvador’s wages
Josie’s wages
we have
the points (3,26.25) and (5,43.75)
slope m=(43.75-26.25)/(5-3)------> m=8.75
with m and the point (3,26.25)
y-y1=m*(x-x1)------> y-26.25=8.75*(x-3)---> y=8.75x-26.25+26.25
y=8.75x------> equation 1
Salvador’s wages
we have
the points (2,15) and (6,45)
slope m=(45-15)/(6-2)------> m=7.5
with m and the point (2,15)
y-y1=m*(x-x1)------> y-15=7.5*(x-2)---> y=7.5x-15+15
y=7.5x------> equation 2
step 2
the difference equation 1 and equation 2 must be $1000
so
8.75x-7.5x=1000-------> 1.25x=1000------> x=1000/1.25
x=800 hours
Josie and Salvador each worked an eight-hour day for five days each week
so
each week is 8*5-------> 40 hours
if 1 week is-----------> 40 hours
X-----------------> 800 hours
x=800/40-----> x=20 weeks
the answer is
20 weeks