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25 votes
25 votes
Find the minimum value of the function f(x) = 1.5x2 + 10x + 12 to the nearest
hundredth.

User Ritwick Dey
by
2.5k points

1 Answer

26 votes
26 votes

Answer:

-14/3

Explanation:

Use derivative = 0 to find turning point(S)

D f(x) = 3x + 10 = 0

3x = - 10

X = - 10/3

When X = - 10/3

F(x) = 1.5(10/3)^2 - 10(10/3) + 12

= (3*10*10) / (2*3*3) - 100/3 +12

= 50/3 - 100/3 + 36/3

= - 14/3

User Vivek Sethi
by
2.5k points