Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question
Chapter 1, Problem 74SGR
To determine
To identify: The whether the graph provided below is linear or not. Also compute and interpret the intercepts, symmetry, positive, negative, increasing, decreasing and the x -coordinate of any relative extrema and end the end behavior of the graph.
Expert Solution & Answer
Answer to Problem 74SGR
The graph is non-linear. The y -intercept
Explanation of Solution
Given information:
The graphical representation of number of U.S. Patents granted from the year 1980 to 2015.
Formula used:
The graph of a function is said to be linear is it is straight line. If it is a curve it is non-linear.
The x- intercepts are the points on x -axis where the graph of the equation intersects the x -axis.
The y- intercepts are the points on y -axis where the graph of the equation intersects the y -axis.
When the graph of the function lies above the x -axis the function is said to be positive otherwise negative.
When the graph of the function goes up it is an increasing function when viewed from left to right otherwise function is decreasing.
The function has relative high and low values of function. A function has relative minimum when no other near by point has a lesser y -coordinate. A function has relative maximum when no other near by point has a greater y -coordinate.
End behavior of the graph represents the values of the function at positive and negative extremes in domain of the function.
Calculation:
Consider the graphical representation of number of U.S. Patents granted from the year 1980 to 2015.
The x -axis denote the years and y -axis denote the number of patents in thousands.
Recall that the graph of a function is said to be linear is it is straight line. If it is a curve it is non-linear.
Observe that graph is not a straight line so it is a non-linear graph.
Also the graph of the function is not divided by any line into mirror images, so it is not symmetric also.
Recall that the x- intercepts are the points on x -axis where the graph of the equation intersects the x -axis.
Observe that the graph does not intersect the x -axis so there are no x -intercepts.
The y- intercepts are the points on y -axis where the graph of the equation intersects the y -axis.
Observe that the graph intersects the y -axis at the point
Recall that when the graph of the function lies above the x -axis the function is said to be positive otherwise negative.
Observe that graph of the function always lie above the x -axisso the function is said to be positive that is number of patents is always a positive number.
Recall that when the graph of the function goes up it is an increasing function when viewed from left to right otherwise function is decreasing.
When value of x lie between 1980 and 2000 also between 2005 and 2015 the function is increasing, the number of patents increase between the years 1980 and 2000 also between 2005 and 2015. The function decreasing when x lie between 2000 and 2005 that is number of patents decreased during that year.
Recall that the function has relative high and low values of function. A function has relative minimum when no other near by point has a lesser y -coordinate. A function has relative maximum when no other near by point has a greater y -coordinate.
At
Recall that the end behavior of the graph represents the values of the function at positive and negative extremes in domain of the function.
The graph describes the number U.S patents only till the year 2015. So end behavior of the graph is predicted by the nature of graph between the year 2010 and 2015. It is observed that the graph is increasing between the years so end behavior is number of patents increased between the years 2010 and 2015.
Chapter 1 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Ch. 1.1 - Prob. 1AGPCh. 1.1 - Prob. 1BGPCh. 1.1 - Prob. 2AGPCh. 1.1 - Prob. 2BGPCh. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 2CYUCh. 1.1 - Prob. 3CYUCh. 1.1 - Prob. 4CYUCh. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYU
Ch. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11PPSCh. 1.1 - Prob. 12PPSCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 34PPSCh. 1.1 - Prob. 35PPSCh. 1.1 - Prob. 36PPSCh. 1.1 - Prob. 37PPSCh. 1.1 - Prob. 38HPCh. 1.1 - Prob. 39HPCh. 1.1 - Prob. 40HPCh. 1.1 - Prob. 41HPCh. 1.1 - Prob. 42HPCh. 1.1 - Prob. 43PFACh. 1.1 - Prob. 44PFACh. 1.1 - Prob. 45PFACh. 1.1 - Prob. 46PFACh. 1.1 - Prob. 47PFACh. 1.1 - Prob. 48PFACh. 1.1 - Prob. 49PFACh. 1.2 - Prob. 1AGPCh. 1.2 - Prob. 1BGPCh. 1.2 - Prob. 1CGPCh. 1.2 - Prob. 2AGPCh. 1.2 - Prob. 2BGPCh. 1.2 - Prob. 3AGPCh. 1.2 - Prob. 3BGPCh. 1.2 - Prob. 3CGPCh. 1.2 - Prob. 4AGPCh. 1.2 - Prob. 4BGPCh. 1.2 - Prob. 5AGPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 10CYUCh. 1.2 - Prob. 11CYUCh. 1.2 - Prob. 12CYUCh. 1.2 - Prob. 13CYUCh. 1.2 - Prob. 14CYUCh. 1.2 - Prob. 15PPSCh. 1.2 - Prob. 16PPSCh. 1.2 - Prob. 17PPSCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - Prob. 26PPSCh. 1.2 - Prob. 27PPSCh. 1.2 - Prob. 28PPSCh. 1.2 - Prob. 29PPSCh. 1.2 - Prob. 30PPSCh. 1.2 - Prob. 31PPSCh. 1.2 - Prob. 32PPSCh. 1.2 - Prob. 33PPSCh. 1.2 - Prob. 34PPSCh. 1.2 - Prob. 35PPSCh. 1.2 - Prob. 36PPSCh. 1.2 - Prob. 37PPSCh. 1.2 - Prob. 38PPSCh. 1.2 - Prob. 39PPSCh. 1.2 - Prob. 40PPSCh. 1.2 - Prob. 41PPSCh. 1.2 - Prob. 42PPSCh. 1.2 - Prob. 43PPSCh. 1.2 - Prob. 44PPSCh. 1.2 - Prob. 45PPSCh. 1.2 - Prob. 46PPSCh. 1.2 - Prob. 47PPSCh. 1.2 - Prob. 48PPSCh. 1.2 - Prob. 49PPSCh. 1.2 - Prob. 50PPSCh. 1.2 - Prob. 51PPSCh. 1.2 - Prob. 52PPSCh. 1.2 - Prob. 53PPSCh. 1.2 - Prob. 54PPSCh. 1.2 - Prob. 55PPSCh. 1.2 - Prob. 56PPSCh. 1.2 - Prob. 57PPSCh. 1.2 - Prob. 58PPSCh. 1.2 - Prob. 59HPCh. 1.2 - Prob. 60HPCh. 1.2 - Prob. 61HPCh. 1.2 - Prob. 62HPCh. 1.2 - Prob. 63HPCh. 1.2 - Prob. 64HPCh. 1.2 - Prob. 65PFACh. 1.2 - Prob. 66PFACh. 1.2 - Prob. 67PFACh. 1.2 - Prob. 68PFACh. 1.2 - Prob. 69PFACh. 1.2 - Prob. 70PFACh. 1.2 - Prob. 71PFACh. 1.3 - Prob. 1AGPCh. 1.3 - Prob. 1BGPCh. 1.3 - Prob. 2GPCh. 1.3 - Prob. 3AGPCh. 1.3 - Prob. 3BGPCh. 1.3 - Prob. 1CYUCh. 1.3 - Prob. 2CYUCh. 1.3 - Prob. 3CYUCh. 1.3 - Prob. 4CYUCh. 1.3 - Prob. 5CYUCh. 1.3 - Prob. 6CYUCh. 1.3 - Prob. 7CYUCh. 1.3 - Prob. 8CYUCh. 1.3 - Prob. 9PPSCh. 1.3 - Prob. 10PPSCh. 1.3 - Prob. 11PPSCh. 1.3 - Prob. 12PPSCh. 1.3 - Prob. 13PPSCh. 1.3 - Prob. 14PPSCh. 1.3 - Prob. 15PPSCh. 1.3 - Prob. 16PPSCh. 1.3 - Prob. 17PPSCh. 1.3 - Prob. 18PPSCh. 1.3 - Prob. 19PPSCh. 1.3 - Prob. 20PPSCh. 1.3 - Prob. 21PPSCh. 1.3 - Prob. 22PPSCh. 1.3 - Prob. 23PPSCh. 1.3 - Prob. 24PPSCh. 1.3 - Prob. 25PPSCh. 1.3 - Prob. 26PPSCh. 1.3 - Prob. 27PPSCh. 1.3 - Prob. 28PPSCh. 1.3 - Prob. 29PPSCh. 1.3 - Prob. 30PPSCh. 1.3 - Prob. 31PPSCh. 1.3 - Prob. 32PPSCh. 1.3 - Prob. 33PPSCh. 1.3 - Prob. 34PPSCh. 1.3 - Prob. 35PPSCh. 1.3 - Prob. 36PPSCh. 1.3 - Prob. 37PPSCh. 1.3 - Prob. 38PPSCh. 1.3 - Prob. 39PPSCh. 1.3 - Prob. 40PPSCh. 1.3 - Prob. 41PPSCh. 1.3 - Prob. 42PPSCh. 1.3 - Prob. 43PPSCh. 1.3 - Prob. 44PPSCh. 1.3 - Prob. 45PPSCh. 1.3 - Prob. 46PPSCh. 1.3 - Prob. 47PPSCh. 1.3 - Prob. 48PPSCh. 1.3 - Prob. 49PPSCh. 1.3 - Prob. 50PPSCh. 1.3 - Prob. 51PPSCh. 1.3 - Prob. 52PPSCh. 1.3 - Prob. 53PPSCh. 1.3 - Prob. 54HPCh. 1.3 - Prob. 55HPCh. 1.3 - Prob. 56HPCh. 1.3 - Prob. 57HPCh. 1.3 - Prob. 58HPCh. 1.3 - Prob. 59HPCh. 1.3 - Prob. 60HPCh. 1.3 - Prob. 61PFACh. 1.3 - Prob. 62PFACh. 1.3 - Prob. 63PFACh. 1.3 - Prob. 64PFACh. 1.3 - Prob. 65PFACh. 1.3 - Prob. 66PFACh. 1.3 - Prob. 67PFACh. 1.4 - Prob. 1GPCh. 1.4 - Prob. 2AGPCh. 1.4 - Prob. 2BGPCh. 1.4 - Prob. 2CGPCh. 1.4 - Prob. 2DGPCh. 1.4 - Prob. 3AGPCh. 1.4 - Prob. 3BGPCh. 1.4 - Prob. 3CGPCh. 1.4 - Prob. 3DGPCh. 1.4 - Prob. 4AGPCh. 1.4 - Prob. 4BGPCh. 1.4 - Prob. 4CGPCh. 1.4 - Prob. 4DGPCh. 1.4 - Prob. 5GPCh. 1.4 - Prob. 1CYUCh. 1.4 - Prob. 2CYUCh. 1.4 - Prob. 3CYUCh. 1.4 - Prob. 4CYUCh. 1.4 - Prob. 5CYUCh. 1.4 - Prob. 6CYUCh. 1.4 - Prob. 7CYUCh. 1.4 - Prob. 8CYUCh. 1.4 - Prob. 9CYUCh. 1.4 - Prob. 10CYUCh. 1.4 - Prob. 11PPSCh. 1.4 - Prob. 12PPSCh. 1.4 - Prob. 13PPSCh. 1.4 - Prob. 14PPSCh. 1.4 - Prob. 15PPSCh. 1.4 - Prob. 16PPSCh. 1.4 - Prob. 17PPSCh. 1.4 - Prob. 18PPSCh. 1.4 - Prob. 19PPSCh. 1.4 - Prob. 20PPSCh. 1.4 - Prob. 21PPSCh. 1.4 - Prob. 22PPSCh. 1.4 - Prob. 23PPSCh. 1.4 - Prob. 24PPSCh. 1.4 - Prob. 25PPSCh. 1.4 - Prob. 26PPSCh. 1.4 - Prob. 27PPSCh. 1.4 - Prob. 28PPSCh. 1.4 - Prob. 29PPSCh. 1.4 - Prob. 30PPSCh. 1.4 - Prob. 31PPSCh. 1.4 - Prob. 32PPSCh. 1.4 - Prob. 33PPSCh. 1.4 - Prob. 34PPSCh. 1.4 - Prob. 35PPSCh. 1.4 - Prob. 36PPSCh. 1.4 - Prob. 37PPSCh. 1.4 - Prob. 38PPSCh. 1.4 - Prob. 39PPSCh. 1.4 - Prob. 40PPSCh. 1.4 - Prob. 41PPSCh. 1.4 - Prob. 42PPSCh. 1.4 - Prob. 43PPSCh. 1.4 - Prob. 44PPSCh. 1.4 - Prob. 45PPSCh. 1.4 - Prob. 46PPSCh. 1.4 - Prob. 47PPSCh. 1.4 - Prob. 48PPSCh. 1.4 - Prob. 49PPSCh. 1.4 - Prob. 50PPSCh. 1.4 - Prob. 51PPSCh. 1.4 - Prob. 52PPSCh. 1.4 - Prob. 53PPSCh. 1.4 - Prob. 54PPSCh. 1.4 - Prob. 55PPSCh. 1.4 - Prob. 56HPCh. 1.4 - Prob. 57HPCh. 1.4 - Prob. 58HPCh. 1.4 - Prob. 59HPCh. 1.4 - Prob. 60PFACh. 1.4 - Prob. 61PFACh. 1.4 - Prob. 62PFACh. 1.4 - Prob. 63PFACh. 1.4 - Prob. 64PFACh. 1.4 - Prob. 65PFACh. 1.4 - Prob. 66PFACh. 1.5 - Prob. 1AGPCh. 1.5 - Prob. 1BGPCh. 1.5 - Prob. 1CGPCh. 1.5 - Prob. 2AGPCh. 1.5 - Prob. 2BGPCh. 1.5 - Prob. 3AGPCh. 1.5 - Prob. 3BGPCh. 1.5 - Prob. 3CGPCh. 1.5 - Prob. 4AGPCh. 1.5 - Prob. 4BGPCh. 1.5 - Prob. 4CGPCh. 1.5 - Prob. 1CYUCh. 1.5 - Prob. 2CYUCh. 1.5 - Prob. 3CYUCh. 1.5 - Prob. 4CYUCh. 1.5 - Prob. 5PPSCh. 1.5 - Prob. 6PPSCh. 1.5 - Prob. 7PPSCh. 1.5 - Prob. 8PPSCh. 1.5 - Prob. 9PPSCh. 1.5 - Prob. 10PPSCh. 1.5 - Prob. 11PPSCh. 1.5 - Prob. 12PPSCh. 1.5 - Prob. 13PPSCh. 1.5 - Prob. 14PPSCh. 1.5 - Prob. 15PPSCh. 1.5 - Prob. 16PPSCh. 1.5 - Prob. 17PPSCh. 1.5 - Prob. 18PPSCh. 1.5 - Prob. 19PPSCh. 1.5 - Prob. 20PPSCh. 1.5 - Prob. 21PPSCh. 1.5 - Prob. 22PPSCh. 1.5 - Prob. 23PPSCh. 1.5 - Prob. 24PPSCh. 1.5 - Prob. 25PPSCh. 1.5 - Prob. 26PPSCh. 1.5 - Prob. 27HPCh. 1.5 - Prob. 28HPCh. 1.5 - Prob. 29PFACh. 1.5 - Prob. 30PFACh. 1.5 - Prob. 31PFACh. 1.5 - Prob. 32PFACh. 1.5 - Prob. 33PFACh. 1.5 - Prob. 34PFACh. 1.5 - Prob. 35PFACh. 1.6 - Prob. 1AGPCh. 1.6 - Prob. 1BGPCh. 1.6 - Prob. 2AGPCh. 1.6 - Prob. 2BGPCh. 1.6 - Prob. 3AGPCh. 1.6 - Prob. 3BGPCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2CYUCh. 1.6 - Prob. 3CYUCh. 1.6 - Prob. 4CYUCh. 1.6 - Prob. 5CYUCh. 1.6 - Prob. 6CYUCh. 1.6 - Prob. 7CYUCh. 1.6 - Prob. 8CYUCh. 1.6 - Prob. 9PPSCh. 1.6 - Prob. 10PPSCh. 1.6 - Prob. 11PPSCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 16PPSCh. 1.6 - Prob. 17PPSCh. 1.6 - Prob. 18PPSCh. 1.6 - Prob. 19PPSCh. 1.6 - Prob. 20PPSCh. 1.6 - Prob. 21PPSCh. 1.6 - Prob. 22PPSCh. 1.6 - Prob. 23PPSCh. 1.6 - Prob. 24PPSCh. 1.6 - Prob. 25PPSCh. 1.6 - Prob. 26PPSCh. 1.6 - Prob. 27PPSCh. 1.6 - Prob. 28PPSCh. 1.6 - Prob. 29PPSCh. 1.6 - Prob. 30PPSCh. 1.6 - Prob. 31PPSCh. 1.6 - Prob. 32PPSCh. 1.6 - Prob. 33PPSCh. 1.6 - Prob. 34PPSCh. 1.6 - Prob. 35PPSCh. 1.6 - Prob. 36PPSCh. 1.6 - Prob. 37PPSCh. 1.6 - Prob. 38HPCh. 1.6 - Prob. 39HPCh. 1.6 - Prob. 40HPCh. 1.6 - Prob. 41HPCh. 1.6 - Prob. 42HPCh. 1.6 - Prob. 43PFACh. 1.6 - Prob. 44PFACh. 1.6 - Prob. 45PFACh. 1.6 - Prob. 46PFACh. 1.6 - Prob. 47PFACh. 1.7 - Prob. 1GPCh. 1.7 - Prob. 2GPCh. 1.7 - Prob. 3AGPCh. 1.7 - Prob. 3BGPCh. 1.7 - Prob. 4AGPCh. 1.7 - Prob. 4BGPCh. 1.7 - Prob. 4CGPCh. 1.7 - Prob. 4DGPCh. 1.7 - Prob. 5AGPCh. 1.7 - Prob. 5BGPCh. 1.7 - Prob. 5CGPCh. 1.7 - Prob. 5DGPCh. 1.7 - Prob. 1CYUCh. 1.7 - Prob. 2CYUCh. 1.7 - Prob. 3CYUCh. 1.7 - Prob. 4CYUCh. 1.7 - Prob. 5CYUCh. 1.7 - Prob. 6CYUCh. 1.7 - Prob. 7CYUCh. 1.7 - Prob. 8CYUCh. 1.7 - Prob. 9CYUCh. 1.7 - Prob. 10CYUCh. 1.7 - Prob. 11CYUCh. 1.7 - Prob. 12CYUCh. 1.7 - Prob. 13CYUCh. 1.7 - Prob. 14CYUCh. 1.7 - Prob. 15CYUCh. 1.7 - Prob. 16CYUCh. 1.7 - Prob. 17CYUCh. 1.7 - Prob. 18CYUCh. 1.7 - Prob. 19CYUCh. 1.7 - Prob. 20PPSCh. 1.7 - Prob. 21PPSCh. 1.7 - Prob. 22PPSCh. 1.7 - Prob. 23PPSCh. 1.7 - Prob. 24PPSCh. 1.7 - Prob. 25PPSCh. 1.7 - Prob. 26PPSCh. 1.7 - Prob. 27PPSCh. 1.7 - Prob. 28PPSCh. 1.7 - Prob. 29PPSCh. 1.7 - Prob. 30PPSCh. 1.7 - Prob. 31PPSCh. 1.7 - Prob. 32PPSCh. 1.7 - Prob. 33PPSCh. 1.7 - Prob. 34PPSCh. 1.7 - Prob. 35PPSCh. 1.7 - Prob. 36PPSCh. 1.7 - Prob. 37PPSCh. 1.7 - Prob. 38PPSCh. 1.7 - Prob. 39PPSCh. 1.7 - Prob. 40PPSCh. 1.7 - Prob. 41PPSCh. 1.7 - Prob. 42PPSCh. 1.7 - Prob. 43PPSCh. 1.7 - Prob. 44PPSCh. 1.7 - Prob. 45PPSCh. 1.7 - Prob. 46PPSCh. 1.7 - Prob. 47PPSCh. 1.7 - Prob. 48PPSCh. 1.7 - Prob. 49HPCh. 1.7 - Prob. 50HPCh. 1.7 - Prob. 51HPCh. 1.7 - Prob. 52HPCh. 1.7 - Prob. 53HPCh. 1.7 - Prob. 54HPCh. 1.7 - Prob. 55HPCh. 1.7 - Prob. 56PFACh. 1.7 - Prob. 57PFACh. 1.7 - Prob. 58PFACh. 1.7 - Prob. 59PFACh. 1.7 - Prob. 60PFACh. 1.7 - Prob. 61PFACh. 1.8 - Prob. 1GPCh. 1.8 - Prob. 2GPCh. 1.8 - Prob. 3GPCh. 1.8 - Prob. 4GPCh. 1.8 - Prob. 1CYUCh. 1.8 - Prob. 2CYUCh. 1.8 - Prob. 3CYUCh. 1.8 - Prob. 4CYUCh. 1.8 - Prob. 5PPSCh. 1.8 - Prob. 6PPSCh. 1.8 - Prob. 7PPSCh. 1.8 - Prob. 8PPSCh. 1.8 - Prob. 9PPSCh. 1.8 - Prob. 10PPSCh. 1.8 - Prob. 11PPSCh. 1.8 - Prob. 12PPSCh. 1.8 - Prob. 13PPSCh. 1.8 - Prob. 14PPSCh. 1.8 - Prob. 15PPSCh. 1.8 - Prob. 16PPSCh. 1.8 - Prob. 17PPSCh. 1.8 - Prob. 18PPSCh. 1.8 - Prob. 19PPSCh. 1.8 - Prob. 20HPCh. 1.8 - Prob. 21HPCh. 1.8 - Prob. 22HPCh. 1.8 - Prob. 23HPCh. 1.8 - Prob. 24HPCh. 1.8 - Prob. 25PFACh. 1.8 - Prob. 26PFACh. 1.8 - Prob. 27PFACh. 1.8 - Prob. 28PFACh. 1.8 - Prob. 29PFACh. 1.8 - Prob. 30PFACh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 21MCQCh. 1 - Prob. 22MCQCh. 1 - Prob. 23MCQCh. 1 - Prob. 24MCQCh. 1 - Prob. 25MCQCh. 1 - Prob. 1SGRCh. 1 - Prob. 2SGRCh. 1 - Prob. 3SGRCh. 1 - Prob. 4SGRCh. 1 - Prob. 5SGRCh. 1 - Prob. 6SGRCh. 1 - Prob. 7SGRCh. 1 - Prob. 8SGRCh. 1 - Prob. 9SGRCh. 1 - Prob. 10SGRCh. 1 - Prob. 11SGRCh. 1 - Prob. 12SGRCh. 1 - Prob. 13SGRCh. 1 - Prob. 14SGRCh. 1 - Prob. 15SGRCh. 1 - Prob. 16SGRCh. 1 - Prob. 17SGRCh. 1 - Prob. 18SGRCh. 1 - Prob. 19SGRCh. 1 - Prob. 20SGRCh. 1 - Prob. 21SGRCh. 1 - Prob. 22SGRCh. 1 - Prob. 23SGRCh. 1 - Prob. 24SGRCh. 1 - Prob. 25SGRCh. 1 - Prob. 26SGRCh. 1 - Prob. 27SGRCh. 1 - Prob. 28SGRCh. 1 - Prob. 29SGRCh. 1 - Prob. 30SGRCh. 1 - Prob. 31SGRCh. 1 - Prob. 32SGRCh. 1 - Prob. 33SGRCh. 1 - Prob. 34SGRCh. 1 - Prob. 35SGRCh. 1 - Prob. 36SGRCh. 1 - Prob. 37SGRCh. 1 - Prob. 38SGRCh. 1 - Prob. 39SGRCh. 1 - Prob. 40SGRCh. 1 - Prob. 41SGRCh. 1 - Prob. 42SGRCh. 1 - Prob. 43SGRCh. 1 - Prob. 44SGRCh. 1 - Prob. 45SGRCh. 1 - Prob. 46SGRCh. 1 - Prob. 47SGRCh. 1 - Prob. 48SGRCh. 1 - Prob. 49SGRCh. 1 - Prob. 50SGRCh. 1 - Prob. 51SGRCh. 1 - Prob. 52SGRCh. 1 - Prob. 53SGRCh. 1 - Prob. 54SGRCh. 1 - Prob. 55SGRCh. 1 - Prob. 56SGRCh. 1 - Prob. 57SGRCh. 1 - Prob. 58SGRCh. 1 - Prob. 59SGRCh. 1 - Prob. 60SGRCh. 1 - Prob. 61SGRCh. 1 - Prob. 62SGRCh. 1 - Prob. 63SGRCh. 1 - Prob. 64SGRCh. 1 - Prob. 65SGRCh. 1 - Prob. 66SGRCh. 1 - Prob. 67SGRCh. 1 - Prob. 68SGRCh. 1 - Prob. 69SGRCh. 1 - Prob. 70SGRCh. 1 - Prob. 71SGRCh. 1 - Prob. 72SGRCh. 1 - Prob. 73SGRCh. 1 - Prob. 74SGRCh. 1 - Prob. 75SGRCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 12PTCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 1PFACh. 1 - Prob. 2PFACh. 1 - Prob. 3PFACh. 1 - Prob. 4PFACh. 1 - Prob. 5PFACh. 1 - Prob. 6PFACh. 1 - Prob. 7PFACh. 1 - Prob. 8PFACh. 1 - Prob. 9PFACh. 1 - Prob. 10PFACh. 1 - Prob. 11PFACh. 1 - Prob. 12PFACh. 1 - Prob. 13PFACh. 1 - Prob. 14PFACh. 1 - Prob. 15PFA
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- Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
- 2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?arrow_forwardA clothing manufacturer's profitability can be modeled by p (x)=-x4 + 40x² - 144, where .x is the number of items sold in thousands and p (x) is the company's profit in thousands of dollars. a. Sketch the function on your calculator and describe the end behavior. b. Determine the zeros of the function. c. Between what two values should the company sell in order to be profitable? d. Explain why only two of the zeros are considered in part c.arrow_forwardCCSS REASONING The number of subscribers using pagers in the United States can be modeled by f(x) = 0.015x4 -0.44x³ +3.46x² - 2.7x+9.68 where x is the number of years after 1990 and f(x) is the number of subscribers in millions. a. Graph the function. b. Describe the end behavior of the graph. c. What does the end behavior suggest about the number of pager subscribers? d. Will this trend continue indefinitely? Explain your reasoning.arrow_forward
- Can you help me solve this?arrow_forwardName Assume there is the following simplified grade book: Homework Labs | Final Exam | Project Avery 95 98 90 100 Blake 90 96 Carlos 83 79 Dax 55 30 228 92 95 79 90 65 60 Assume that the weights used to compute the final grades are homework 0.3, labs 0.2, the final 0.35, and the project 0.15. | Write an explicit formula to compute Avery's final grade using a single inner product. Write an explicit formula to compute everyone's final grade simultane- ously using a single matrix-vector product.arrow_forward1. Explicitly compute by hand (with work shown) the following Frobenius inner products 00 4.56 3.12 (a) ((º º º). (156 (b) 10.9 -1 0 2)), Fro 5')) Froarrow_forward
- 3. Let 4 0 0 00 0 0 1.2 0 00 0 0 0 -10.1 0 0 0 D = 0 0 0 00 0 0 0 0 05 0 0 0 0 0 0 2.8 Either explicitly compute D-¹ or explain why it doesn't exist.arrow_forward4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forward
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