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3 years ago

Identify the minimum value of the function y = 3x^2 - 12x+10

1 answer:

5 0

We have
y = 3x² - 12x+10
rewrite the equation in vertex form
y-10=3x²-12x
y-10=3(x²-4x)
y-10+12=3(x²-4x+4)
y+2=3(x-2)²

is a vertical parabola open up
the vertex is a minimum
the vertex is the point (2,-2)

therefore
the minimum value of the function is y=-2

the answer is the option
C. -2

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Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

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Additional comment

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

v2(x) +v1(N -x) = V

x(v2 -v1) = V -v1·N

x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

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3 years ago