Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and
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Answer:
Please see attached image for the graph
Step-by-step explanation:
To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).
One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.
One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.
you can go on like this plotting more points on the graph.
Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)
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The perimeter formula of a trapezium is:
P = a + b + c + d ( adding all sides )
Perimeter is given : P = 17z³ + 60z² + 2z - 5
Part A :
Total lengths of sides 1, 2 and 3 will be just adding the given lengths :
1 → 16z² - 4z + 2
2 → 7z² - 2z + 21
3 → 18z² - 3z + 2
side 1 + side 2 + side 3
( 16z² - 4z + 2 ) + ( 7z² - 2z + 21 ) + ( 18z² - 3z + 2 )
Combine like terms together:
16z² + 7z² + 18z² - 4z - 2z - 3z + 2 +21 + 2
41z² - 9z + 25
Part B:
Length of 4th side will be the total perimeter minus the total length of sides 1, 2 and 3:
( 17z³ + 60z² + 2z - 5 ) - ( 41z² - 9z + 25 )
Combine like terms
17z³ + 60z² - 41z² + 2z + 9z - 5 - 25
17z³ + 19z² + 11z - 30
Part C:
Addition of polynomials result in polynomials as well as subtraction of polynomials result in polynomials.
Therefore, this polynomial is closed under addition and subtraction.
The perimeter formula of a trapezium is:
P = a + b + c + d ( adding all sides )
Perimeter is given : P = 17z³ + 60z² + 2z - 5
Part A :
Total lengths of sides 1, 2 and 3 will be just adding the given lengths :
1 → 16z² - 4z + 2
2 → 7z² - 2z + 21
3 → 18z² - 3z + 2
side 1 + side 2 + side 3
( 16z² - 4z + 2 ) + ( 7z² - 2z + 21 ) + ( 18z² - 3z + 2 )
Combine like terms together:
16z² + 7z² + 18z² - 4z - 2z - 3z + 2 +21 + 2
41z² - 9z + 25
Part B:
Length of 4th side will be the total perimeter minus the total length of sides 1, 2 and 3:
( 17z³ + 60z² + 2z - 5 ) - ( 41z² - 9z + 25 )
Combine like terms
17z³ + 60z² - 41z² + 2z + 9z - 5 - 25
17z³ + 19z² + 11z - 30
Part C:
Addition of polynomials result in polynomials as well as subtraction of polynomials result in polynomials.
Therefore, this polynomial is closed under addition and subtraction.