Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) =()x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $thousand. After 35 years, the home’s value will be about $thousand.

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general 11 months ago 1510

1.A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation? 110 155102.A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.The coordinates of C' are (0.75, 0.5).The coordinates of C' are (1.5, 1).The scale factor is 18.The scale factor is 8.The scale factor is 14.The scale factor is 4.The coordinates of B' are (-0.25, 1).The coordinates of B' are (-0.5, 2).3.What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is A'(–24, 16)? 4.Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle? Dilation, rotation, translationReflection, dilation, translationRotation, reflection, dilationRotation, translation, reflection

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general 11 months ago 7123

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

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general 11 months ago 4803