Solve for the indicated variable
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A = LW ; for L
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20180216110443homework2
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A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, ...
Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, the height of the projectile at any time t can be
described by the polynomial function P(t) = 16t² + 300t
a. Find the height of
the projectile when t = 1 second.
b. Find the height of the projectile when t = 5 seconds.
c. How long will it
be until the object hits the ground?2. A board has length
(3x⁴
+ 6x² 18) meters and width of 2x + 1 meters. The board is cut into three pieces of the
same length.
a. Find the length of each piece.
b. Find the area of
each piece.
c. Find the area of the board before it is cut.
d. How is the area of each piece of the board related to the
area of the board before it is cut?3. A cubic equation
has zeros at -2, 1, and 3.
a. Write an equation for a polynomial function that meets
the given conditions.
b. Draw the graph of a polynomial function that meets the
given conditions.
4. Alice was having a conversation with her friend Trina,
who had a discovery to share:
Pick any two integers. Look at the sum of their squares, the difference
of their squares, and twice the product of the two integers you chose. Those
three numbers are the sides of a right triangle.
a. Write an equation that models this conjecture using the
variables x and y.
b. Investigate this conjecture for at least three pairs of
integers. Does her trick appear to work in all cases, or only in some cases?
Explain.
c. Use Trina’s trick to find an example of a right triangle
in which all of the sides have integer length, all three sides are longer than
100 units, and the three side lengths do not have common factors.
If Trina’s conjecture
is true, use the equation found in part a to prove the conjecture. If it is not
true, modify it so it is a true statement, and prove the new statement.
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Most Popular Content
9 pages
20180216110443homework2
1. A clothing company makes coats and slacks. The two resources required are wool cloth and labor. The company has 200 squ ...
20180216110443homework2
1. A clothing company makes coats and slacks. The two resources required are wool cloth and labor. The company has 200 square yards of wool and 300 ...
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Hello I need assistance with test for statistics it shows 16 questions. I actually do not now the question until I open th ...
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Looking for help with mastery exercise weeks 1-6 (10-15 questions)Mastery exercises can be taken three times,Need help wi ...
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RES 710 University of Phoenix Frequency Analysis & Tables Graphs Worksheet
PART 1Set up a frequency table with names for variables and run the frequency analysisPART 2Using the same dataset you sel ...
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Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, ...
Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, the height of the projectile at any time t can be
described by the polynomial function P(t) = 16t² + 300t
a. Find the height of
the projectile when t = 1 second.
b. Find the height of the projectile when t = 5 seconds.
c. How long will it
be until the object hits the ground?2. A board has length
(3x⁴
+ 6x² 18) meters and width of 2x + 1 meters. The board is cut into three pieces of the
same length.
a. Find the length of each piece.
b. Find the area of
each piece.
c. Find the area of the board before it is cut.
d. How is the area of each piece of the board related to the
area of the board before it is cut?3. A cubic equation
has zeros at -2, 1, and 3.
a. Write an equation for a polynomial function that meets
the given conditions.
b. Draw the graph of a polynomial function that meets the
given conditions.
4. Alice was having a conversation with her friend Trina,
who had a discovery to share:
Pick any two integers. Look at the sum of their squares, the difference
of their squares, and twice the product of the two integers you chose. Those
three numbers are the sides of a right triangle.
a. Write an equation that models this conjecture using the
variables x and y.
b. Investigate this conjecture for at least three pairs of
integers. Does her trick appear to work in all cases, or only in some cases?
Explain.
c. Use Trina’s trick to find an example of a right triangle
in which all of the sides have integer length, all three sides are longer than
100 units, and the three side lengths do not have common factors.
If Trina’s conjecture
is true, use the equation found in part a to prove the conjecture. If it is not
true, modify it so it is a true statement, and prove the new statement.
4 pages
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