Omi67

A parabola with equation y=ax^2+bx+c contains the points (-3, 3), (1, 3), and (0, 0). Find the value 100a+10b+c.

What is the slope of the line containing the midpoint of the segment with endpoints at (2 , 4) and (0 , -2) and the midpoint of the segment with endpoints at  (5 , 1) and (1 , 5) Express your answer in simplest form.

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In einer Sanduhr laufen 845cm³ Sand pro Stundedurch die Öffnung zu einem kegelförmigen Sandhaufen. Der Sandhaufen ist nach150 Minuten 11,3cm hoch.

a) Stelle die Formel für das Volumen eines Kegels nach r um.

b) Welche Grundfläche hat der Sandhaufen?

c) Wie groß ist die Mantelfläche des Sandhaufens?

For the graph of a certain quadratic y=ax^2+bx+c, the vertex of the parabola is (3,7) and one of the x-intercepts is (-2,0) . What is the x-coordinate of the other x-intercept?

Find the quadratic f(x) = ax^2 + bx + c such that f(1) = 3, f(-1) = 7, and f(5) = 26.

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hours of burning, a candle has a height of 25.4 centimeters. After 23 hours of burning, its height is 19.8 centimeters. What is the height of the candle after 22 hours?