Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Question
Chapter 3.3, Problem 3CYU
a.
To determine
The rate of change of prices from 2006 to 2008 and explain the meaning of the rate of change
a.
Expert Solution
Answer to Problem 3CYU
The rate of change is 1.035.
Explanation of Solution
Given:
Calculation:
From the given graph, the ordered pairs for the year 2006 and 2008 are (6,26.66) and (8,28.73).
Formula used:
For two points
The rate of change is =
Calculation:
The required rate of change is:
Interpretation:
The rate of change is 1.035. It means that in 2 years there is an increase of $1.035 in the price of the tickets.
Conclusion:
The rate of change for the year 2006 and 2008 is 1.035.
b.
To determine
The period of years which has the highest rate of change
b.
Expert Solution
Answer to Problem 3CYU
1998-2000
Explanation of Solution
Given:
In order to find out the highest rate, find the consecutive rise in prices.
The interval with the highest difference will be the answer.
Calculation:
| Interval (Years) | Difference of prices ($) |
| 1998-2000 | (20.03-11.88)=8.15 |
| 2000-2002 | (18.87-20.03)= -1.16 |
| 2002-2004 | (22.88-18.87)=4.01 |
| 2004-2006 | (26.66-22.88)=3.78 |
| 2006-2008 | (28.73-26.66)=2.07 |
| 2008-2010 | (29.29-28.73)=0.56 |
| 2010-2012 | (30.09-29.29)=0.8 |
Interpretation:
From the table above, the highest value of difference in price is for the year interval 1998-2000.
Conclusion:
Hence, the required interval is 1998-2000.
c.
To determine
The year in which the new stadium was built.
c.
Expert Solution
Answer to Problem 3CYU
1994-1998
Explanation of Solution
Given:
Interpretation:
When the given graph is observed it can be seen that there is no data of price related to the year interval 1994-1996 and 1996-1998 which means that there were no price set for the tickets and this could only happen if there was no stadium at that time.
This means that the stadium was on a construction during this period and the year of start of construction was 1994. It can be interpreted because the staring of the graph was in the year 1994.
Conclusion:
Hence, it can be concluded that the stadium was built in the years 1994-1998.
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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- Find a polynomial with integer coefficients that satisfies the given conditions. T(x) has degree 4, zeros i and 1 + i, and constant term 12.arrow_forwardHow to solve 2542000/64132 without a calculator?arrow_forwardHow much is the circumference of a circle whose diameter is 7 feet?C =π darrow_forward
- How to solve 2542/64.132arrow_forwardAssume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1]. See the figure for a plot of f(t). Your goal is to approximate f(t) with an inter- polating polynomial spline of degree d that is given as sa(t) = • Σk=0 Pd,k bd,k(t) so that sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0) with basis functions bd,k(t) = Σi±0 Cd,k,i = • The special case of d 0 is trivial: the only basis function b0,0 (t) is constant 1 and so(t) is thus constant po,0 for all t = [−1, 1]. ...9 The d+1 basis functions bd,k (t) form a ba- sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the function space of all possible sα (t) functions. Clearly, you wish to find out, which of them given a particular maximal degree d is the best-possible approximation of f(t) in the least- squares sense. _ 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 function f(t) = exp((2t)/3) - 1 to project -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5…arrow_forwardAn image processor considered a 750×750 pixels large subset of an image and converted it into gray-scale, resulting in matrix gIn - a false-color visualization of gIn is shown in the top-left below. He prepared a two-dim. box filter f1 as a 25×25 matrix with only the 5×5 values in the middle being non-zero – this filter is shown in the top-middle position below. He then convolved £1 with itself to get £2, before convolving £2 with itself to get f3. In both of the steps, he maintained the 25×25 size. Next, he convolved gIn with £3 to get gl. Which of the six panels below shows g1? Argue by explaining all the steps, so far: What did the image processor do when preparing ₤3? What image processing operation (from gin to g1) did he prepare and what's the effect that can be seen? Next, he convolved the rows of f3 with filter 1/2 (-1, 8, 0, -8, 1) to get f4 - you find a visualization of filter f 4 below. He then convolved gIn with f4 to get g2 and you can find the result shown below. What…arrow_forward
- 3ur Colors are enchanting and elusive. A multitude of color systems has been proposed over a three-digits number of years - maybe more than the number of purposes that they serve... - Everyone knows the additive RGB color system – we usually serve light-emitting IT components like monitors with colors in that system. Here, we use c = (r, g, b) RGB with r, g, bЄ [0,1] to describe a color c. = T For printing, however, we usually use the subtractive CMY color system. The same color c becomes c = (c, m, y) CMY (1-c, 1-m, 1-y) RGB Note how we use subscripts to indicate with coordinate system the coordinates correspond to. Explain, why it is not possible to find a linear transformation between RGB and CMY coordinates. Farbenlehr c von Goethe Erster Band. Roſt einen Defte mit fergen up Tübingen, is et 3. Cotta'fden Babarblung. ISIO Homogeneous coordinates give us a work-around: If we specify colors in 4D, instead, with the 4th coordinate being the homogeneous coordinate h so that every actual…arrow_forwardCan someone provide an answer & detailed explanation please? Thank you kindly!arrow_forwardGiven the cubic function f(x) = x^3-6x^2 + 11x- 6, do the following: Plot the graph of the function. Find the critical points and determine whether each is a local minimum, local maximum, or a saddle point. Find the inflection point(s) (if any).Identify the intervals where the function is increasing and decreasing. Determine the end behavior of the graph.arrow_forward
- Given the quadratic function f(x) = x^2-4x+3, plot the graph of the function and find the following: The vertex of the parabola .The x-intercepts (if any). The y-intercept. Create graph also before solve.arrow_forwardwhat model best fits this dataarrow_forwardRound as specified A) 257 down to the nearest 10’s place B) 650 to the nearest even hundreds, place C) 593 to the nearest 10’s place D) 4157 to the nearest hundreds, place E) 7126 to the nearest thousand place arrow_forward
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