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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
Graph and list the solutions to the quadratic equation \(x^{2}+10 x+24=0\).Solve the quadratic equations by graphing. -10-8 2 6 4 2 00 8 10 x 4 -2 0 2 4 6 8. 10 -2 -4 -6 -8 -10
Graph and list the solutions to the quadratic equation \(x^{2}-25=0\).Solve the quadratic equations by graphing. y 110 8 6 4 2 -10-8-6-4-20 -2 -4 -6 -8 -10 2 4 60 8 10 x
Find the solutions of \(y=x^{2}+2 x-15\) from its graph.Solve the quadratic equations by graphing. 10 10 00 16 4 2 -10-8-64 -4 -2 -20 6 2 4 -2 -4 -6 -8 -10 00 8 10 x
Find the solutions of \(y=x^{2}+6 x+8\) from its graph.Solve the quadratic equations by graphing. 2 10 10 8 61- -10-8-6 0 2 4 6 -2 -4 -6 -8 -10 00- 8 x 10
Find the solutions of \(y=x^{2}-9 x+14\) from its graph.Solve the quadratic equations by graphing. 10 10 8 6 4 2 -4-20 -10-8-6-4 4 6 -2 -4 + 680 -6 -8 -10 8 00 10 x
\(x^{2}+7 x+12=0\)Solve the quadratic equation by factoring.
\(y^{2}-8 y+15=0\)Solve the quadratic equation by factoring.
\(n^{2}-5 n+6=0\)Solve the quadratic equation by factoring.
\(a^{2}+2 a=a\)Solve the quadratic equation by factoring.
\(b^{2}=-b\)Solve the quadratic equation by factoring.
\(x^{2}-9 x+14=0\)Solve the quadratic equation by factoring.
\(x^{2}=16\)Solve the quadratic equation using the square root method.
\(49 m^{2}=144\)Solve the quadratic equation using the square root method.
\(625=x^{2}\)Solve the quadratic equation using the square root method.
\(16 p^{2}=24 p-9\)Solve the quadratic equation using the quadratic formula.
\(m^{2}-2 m=1\)Solve the quadratic equation using the quadratic formula.
\(4 x^{2}-2 x-3=0\)Solve the quadratic equation using the quadratic formula.
\(y^{2}-6 y+7=0\)Solve the quadratic equation using the quadratic formula.
\(x^{2}-3 x-7=0\)Solve the quadratic equation using the quadratic formula.
\(2 x^{2}-4 x-11=0\)Solve the quadratic equation using the quadratic formula.
The product of two consecutive odd integers is 99 . Find the integers.
The product of two consecutive even integers is 168 . Find the integers.
A rectangular patio has an area of 180 square feet. The width of the patio is three feet less than the length. Find the length and width of the patio.
Justine wants to put a deck in the corner of her backyard in the shape of a right triangle, as shown in the given figure. The hypotenuse will be 17 feet long. The length of one side will be 7 feet less than the length of the other side. Find the lengths of the sides of the deck.Use the Pythagorean
A boat's sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13 . Find the lengths of the two sides of the sail.Use the Pythagorean Theorem: In any right triangle, where \(a\) and \(b\) are the lengths of the legs and \(c\) is the
The sun casts a shadow from a flagpole. The height of the flagpole is three times the length of its shadow. The distance between the end of the shadow and the top of the flagpole is 21 feet. Find the length of the shadow and the length of the flagpole. Round to the nearest tenth of a foot.Use the
Rene is setting up a holiday light display. He wants to make a "tree" in the shape of two right triangles and has two 10 -foot strings of lights to use for the sides. He will attach the lights to the top of a pole and to two stakes on the ground. He wants the height of the pole to be the same as
\(f(x)=4-2 x\)Evaluate the functions at the values \(f(-2), f(-1), f(0), f(1)\), and \(f(2)\).
\(f(x)=8-3 x\)Evaluate the functions at the values \(f(-2), f(-1), f(0), f(1)\), and \(f(2)\).
\(f(x)=8 x^{2}-7 x+3\)Evaluate the functions at the values \(f(-2), f(-1), f(0), f(1)\), and \(f(2)\).
\(f(x)=3+\sqrt{x+3}\)Evaluate the functions at the values \(f(-2), f(-1), f(0), f(1)\), and \(f(2)\).
\(f(x)=\frac{x-2}{x+3}\)Evaluate the functions at the values \(f(-2), f(-1), f(0), f(1)\), and \(f(2)\).
\(f(x)=x^{3}\)Evaluate the functions at the values \(f(-2), f(-1), f(0), f(1)\), and \(f(2)\).
\(\{(-1,-1),(-2,-2),(-3,-3)\}\)Determine whether the ordered pairs represent a function.
\(\{(3,4),(4,5),(5,6)\}\)Determine whether the ordered pairs represent a function.
\(\{(2,5),(7,11),(15,8),(7,9)\}\)Determine whether the ordered pairs represent a function.
\(\{(-3,9),(-2,4),(-1,1),(0,0),(1,1),(2,4),(3,9)\}\)Determine whether the ordered pairs represent a function.
\(\{(9,-3),(4,-2),(1,-1),(0,0),(1,1),(4,2),(9,3)\}\)Determine whether the ordered pairs represent a function.
Determine whether the mapping represented a function. Name Birthday Rebecca Jennifer January 18 John February 15 Hector April 1 Luis April 7 Ebony June 23 Raphael July 30 Meredith Karen Joseph August 19 November 6
Determine whether the mapping represented a function. Name Birthday Amy January 5 Carol Devon January 7 February 24 Harrison March 1 Jackson April 7 Labron May 30 Mason July 20 Natalie - August 1 Paul Sylvester November 13 November 26
\(5 x+2 y=10\)Determine whether the equations represent \(y\) as a function of \(x\).
\(y=x^{2}\)Determine whether the equations represent \(y\) as a function of \(x\).
\(x=y^{2}\)Determine whether the equations represent \(y\) as a function of \(x\).
\(3 x^{2}+y=14\)Determine whether the equations represent \(y\) as a function of \(x\).
\(2 x+y^{2}=6\)Determine whether the equations represent \(y\) as a function of \(x\).
\(y=-2 x^{2}+40 x\)Determine whether the equations represent \(y\) as a function of \(x\).
Use the vertical line test to determine which graph represents a function. 6 5 4 3 x -6-5-4-3-2 0 1 3 4 5 6 -2 -3 -4 -5 -6
\(\{(-3,9),(-2,4),(-1,1),(0,0),(1,1),(2,4),(3,9)\}\)Use the set of ordered pairs to find the domain and the range.
\(\{(-9,-3),(-4,-2),(-1,-1),(0,0),(1,1),(4,2),(9,3)\}\)Use the set of ordered pairs to find the domain and the range.
\(\{(-3,27),(-2,8),(-1,1),(0,0),(1,1),(2,8),(3,27)\}\)Use the set of ordered pairs to find the domain and the range.
\(\{(-3,-27),(-2,-8),(-1,-1),(0,0),(1,1),(2,8),(3,27)\}\)Use the set of ordered pairs to find the domain and the range.
Use the graph to find the domain and the range. 5 y 4 3 2 1 -5-4-3-2-10 -1 -2- 23 -3 -4 -5 1 2 3 4 5 x
Use the graph to find the domain and the range. 6 y 5 4 +3 3 2 1 -6-5-4-3-2-10 -2 -3 -4 -5 -6 1 2 3 4 5 6 x
Use the graph to find the domain and the range. 6 65 5 4 32 1 -6-5-4-3-2- 0 -1 -1 1 2 3 4 5 6 X -4 -5 -6
Use the graph to find the domain and the range. 7 65 4 3 2 1 -7-6-5-4-3-2-10 X 1 2 3 4 4 5 6 7 1 -2 -3- -4 -5 69 -7 -6
Find the \(x\) - and \(y\)-intercepts on the graph. 16 5 4 3 -X 2 1 -6-5-4-3-2-1 0 1 -2 1 2 3 4 5 6 -3 -4 15 -5 -6
Find the \(x\) - and \(y\)-intercepts on the graph. 6 y 5 4 3 2 1 1 2 3 4 5 5 6 1 23 -2 -6-5-4-3-210 -3 -4 -5 -6
Find the \(x\) - and \(y\)-intercepts on the graph. 6 65 y 4 3 2- 1 -x -6-5-4-3-2-1 0 1 2 3 3 4 5 6 -1 -2 -3 -4 -5 -6
Find the \(x\) - and \(y\)-intercepts on the graph. -6-5-4-3-2-1 65 5- 4 3 2 1 y X 1 2 3 3 4 5 6 -2- -3- -4 -5 -6
\(-x+4 y=8\)Graph using the intercepts.
\(x+y=-3\)Graph using the intercepts.
\(4 x+y=4\)Graph using the intercepts.
\(3 x-y=-6\)Graph using the intercepts.
\(2 x+4 y=12\)Graph using the intercepts.
\(2 x-5 y=-20\)Graph using the intercepts.
\(y=-2 x\)Graph using the intercepts.
\(y=x\)Graph using the intercepts.
Find the slope of the line. 8 6 5 4 3 2 - -8-7-6-5-4-3-2-1 0 2 3 4 -1 2 -2 -3 A A -5 6 00 5 6 7
Find the slope of the line. 00 8 7 6 5 4 3 2 1 -8-7 -6-5-4-3 -2-1 0 2 3 4 5 6 7 2 -3 -4 5 6 7 00 00 -X
Find the slope of the line. 8 7- 9 6- 5 4 3+ 2 1 -8-7-6-5-4-3-2-10 1 2 4 5 6 7 8 1 -2 -3- -4 -5, 6 -7 -8
Find the slope of the line. 8 00 7 6 5 4 3 2 1 -8-7-6-5-4-3-2-1 0 -1 -2 B -4 -5 -6 -8 y y 2 3 4 5 10 6 7 00 8
Find the slope of the line. 6 5 4 3 7 00 8 1 X -8 -7 -6 -5 -4-3-2-1 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -7 -8
Find the slope of the line. 88 6 5 4 3 2 1 SH 6 -8-7 -6-5-4-3 -2 U 2 3 4 -2 -3 -4 -5 7 7 00 -X
Find the slope of the line. -8 6 5 6. 54 3 2 -3-2-1 fo 0 1 -1 -2 -3 -4 6 x 3 4 5 6 7 8 7 0
Find the slope of the line. 8 7 6 5 st 4 3 2 1 -8-7-6-5-4-3-2-10 -1 -2 -3 -4 -5 -6 -7 -8 1 2 3 X st 4 5 6 7 8
\((2,5),(4,0)\)Use the slope formula to find the slope of the line between each pair of points.
\((-3,3),(4,-5)\)Use the slope formula to find the slope of the line between each pair of points.
\((-1,-2),(2,5)\)Use the slope formula to find the slope of the line between each pair of points.
\((4,-5),(1,-2)\)Use the slope formula to find the slope of the line between each pair of points.
\(y=-7 x+3\)Identify the slope and \(y\)-intercept of each line.
\(y=4 x-10\)Identify the slope and \(y\)-intercept of each line.
\(3 x+y=5\)Identify the slope and \(y\)-intercept of each line.
\(4 x+y=8\)Identify the slope and \(y\)-intercept of each line.
\(6 x+4 y=12\)Identify the slope and \(y\)-intercept of each line.
\(8 x+3 y=12\)Identify the slope and \(y\)-intercept of each line.
\(5 x-2 y=6\)Identify the slope and \(y\)-intercept of each line.
\(7 x-3 y=9\)Identify the slope and \(y\)-intercept of each line.
\(y=3 x-1\)Graph the line of each equation using its slope and \(y\)-intercept.
\(y=2 x-3\)Graph the line of each equation using its slope and \(y\)-intercept.
\(y=-x+3\)Graph the line of each equation using its slope and \(y\)-intercept.
\(y=-x-4\)Graph the line of each equation using its slope and \(y\)-intercept.
\(y=-2 x-3\)Graph the line of each equation using its slope and \(y\)-intercept.
\(y=-3 x+2\)Graph the line of each equation using its slope and \(y\)-intercept.
\(3 x-2 y=4\)Graph the line of each equation using its slope and \(y\)-intercept.
\(3 x-4 y=8\)Graph the line of each equation using its slope and \(y\)-intercept.
\(y=3\)Find the slope of each line and graph.
\(y=-2\)Find the slope of each line and graph.
\(x=-5\)Find the slope of each line and graph.
\(x=4\)Find the slope of each line and graph.
Find Tuyet's payment for a month when 0 units of water are used.Graph and interpret applications of slope-intercept.The equation \(P=31+1.75 w\) models the relation between the amount of Tuyet's monthly water bill payment, \(P\), in dollars, and the number of units of water, \(w\), used.
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