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rebeckas0102
22.05.2020 •
Mathematics
Dad catches 5 fish. Some are big and
some are small. How many fish are
big? How many are small?
Solved
Show answers
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Ответ:
Good evening,
Step-by-step explanation:
f(x) = −16x2 + 60x + 16
Part A: x-intercepts
−16x2 + 60x + 16 = 0
⇔ -4(4x²-15x-4) = 0
⇔ -4[(4x²-16x) + (x-4)] = 0
⇔ -4[4x(x-4) + (x-4)] = 0
⇔ -4(x-4)(4x+1) = 0
⇔ x = 4 or x = -1/4
part B:
since the coefficient of -16x² is -16 which is negative number then the function has a maximum at the point ( -60/2(-16) , f(-60/2(-16)) ) = (15/8 , 289/4).
partC:
first we plot the maximum point then plot x-intercepts 2 points
then we draw the graph.
look at the photo below for the graph.
:)