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Popular >

U(x)=-0.3x^2+18x-100

Solution

U (x) = - 0.3 x^{2} + 18 x - 100

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 170

X Intercepts : (\frac{10 ( 9 - 51 )}{3}, 0), (\frac{10 ( 9 + 51 )}{3}, 0), Y Intercepts : (0, - 100)

Vertex : Maximum (30, 170)

Inverse : - \frac{- 180 + - 120 x + 20400}{6}, - \frac{- 180 - - 120 x + 20400}{6}

+1

Solution steps

Domain of

- 0.3 x^{2} + 18 x - 100 : - \infty < x < \infty

Range of

- 0.3 x^{2} + 18 x - 100 : f (x) \leq 170

Axis interception points of

- 0.3 x^{2} + 18 x - 100 :

X Intercepts

: (\frac{10 ( 9 - 51 )}{3}, 0), (\frac{10 ( 9 + 51 )}{3}, 0),

Y Intercepts

: (0, - 100)

Vertex of

- 0.3 x^{2} + 18 x - 100 :

Maximum

(30, 170)

Inverse of

- 0.3 x^{2} + 18 x - 100 : - \frac{- 180 + - 120 x + 20400}{6}, - \frac{- 180 - - 120 x + 20400}{6}

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f(x)=-0.25x^2+15x-200

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Frequently Asked Questions (FAQ)

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