You are watching: The value v(t) of a car depreciates
June 2017, Algebra I (Common Core), Part II25. Expush in easiest form: (3x2 + 4x - 8) - (-2x2 + 4x + 2) 5x2 - 10.Sjust how somepoint on the paper to suggest where you gained this: line them up vertically; distribute the "-1" and incorporate choose terms. Something, so you"ll be certain to gain both points. (Frankly, this is the type of question that you must be able to perform without mirroring any job-related. It can all be done in your head.)26. Graph the feature f(x) = -x2 - 6x on the set of axes below.State the coordinates of the vertex of the graph.
See the graph listed below. The vertex is at (-3, 9). You have to state the allude and have actually a correct graph to get both points.
27. State whether 7 - SQRT(2) is rational or irrational. Exsimple your answer.It is irrational because 7 is rational and SQRT(2) is irrational and the amount or difference of a rational and an irrational number is always irrational.28. The worth, v(t), of a automobile depreciates according to the attribute v(t) = P(.85)t, where P is the purchase price of the automobile and t is the time, in years, given that the auto was purchased. State the percent that worth of the auto decreases by every year. Justify your answer.The car"s value decreases by 15% each year bereason 1.00 - .85 = .15, which is 15%.29. A survey of 100 students was taken. It was discovered that 60 students watched sporting activities, and also 34 of these students did not prefer pop music. Of the students that did not watch sporting activities, 70% favored pop music.Complete the two-means frequency table.
If you recognize point-slope form then you know that the slope of the boundary (broken) line is -2 and also (4, -4) is a allude on that damaged line.If you didn"t recognize that, you could subtract 4 from each side and also put y = -2(x - 4) - 4right into your graphing calculator, and also get the table of worths.Or usage the Distributive residential or commercial property and created your very own table from the following:y y < -2x + 8 - 4y < -2x + 4 31. If f(x) = x2 and g(x) = x, recognize the value(s) of x that fulfill the equation f(x) = g(x).
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Substitute x2 = xSubtract x2 - x = 0 Factor x(x - 1) = 0 Find the zeroes: x = 0 or x - 1 = 0, so x = 0 or x = 1.32. Describe the result that each transdevelopment below has actually on the function f(x) = |x|, wbelow a > 0.g(x) = |x - a|h(x) = |x| - ag(x) will transition f(x) a devices to the ideal.h(x) will shift f(x) a units down.Both graphs will have the very same form.End of Part IIHow did you do? Comments, questions, corrections and pertains to are all welcome. Typos take place.