You are watching: The value v(t) of a car depreciates

### June 2017, Algebra I (Common Core), Part II

**25.**

*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. Watch SportsDon"t Watch SportsTotalLike Pop Don"t Like Pop Total*Answer: watch table belowSince 60 of 100 watched sports, then 40 did not, so the bottom row is 60, 40, 100.Of 60, 34 did not choose pop, so 26 did. First column is 26, 34, 60.TWIST -- they provided percentperiods in the following percentage of the question.Of the 40, 70% liked pop music. (.70)(40) = 28, and also 40 - 28 = 12. The second column is 28, 12, 40.Add the totals for each row. Last column is 54, 46, 100. Watch SportsDon"t Watch SportsTotalLike Pop 26 28 54 Don"t Like Pop 34 12 46 Total 60 40 100

**30.**

*Graph the inehigh quality y + 4 < -2(x - 4) on the set of axes below.*See graph below.

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) - 4

**right 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**How did you do? Comments, questions, corrections and pertains to are all welcome. Typos take place.

**31.***If f(x) = x2 and g(x) = x, recognize the value(s) of x that fulfill the equation f(x) = g(x).*

See more: Why Does Shinji Choke Asuka At The End ? I Just Finished End Of Evangelion

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.See more: Why Does Shinji Choke Asuka At The End ? I Just Finished End Of Evangelion

**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| - a*g(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 II