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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Plot all the points on the same axes..(4, 0)
Plot all the points on the same axes.(-5, -1)
Plot all the points on the same axes.(-2, -4)
Plot all the points on the same axes.(3, 1)
Fill in the blank with an appropriate word, phrase, or symbols(s).(a) The point whose coordinates are (2, 7) is located in the __________ quadrant(b) The point whose coordinates are 1-3, -52 is
Fill in the blank with an appropriate word, phrase, or symbols(s).In the equation y = mx + b, the slope of the line is represented by ___________.
Fill in the blank with an appropriate word, phrase, or symbols(s).The minimum number of points needed to graph a linear equation is __________ .
Fill in the blank with an appropriate word, phrase, or symbols(s).The three methods used to graph a linear equation given in this section are _________, _________, and __________ .
Fill in the blank with an appropriate word, phrase, or symbols(s).The ratio of the vertical change to the horizontal change for any two points on a line is called the _________ of the line.
Fill in the blank with an appropriate word, phrase, or symbols(s).To find the y-intercept of the graph of a linear equation, set __________ equal to zero and solve the equation for y.
Fill in the blank with an appropriate word, phrase, or symbols(s).To find the x-intercept of the graph of a linear equation, set _______ equal to zero and solve the equation for x.
Fill in the blank with an appropriate word, phrase, or symbols(s).An illustration of all the points whose coordinates satisfy an equation is called a(n) ________ .
One pump removes 1 dal of water in 1 min, and another pump removes 1 dl of water in 1 min. Which pump removes water faster? explain.
Jim ran 100 m, and Bob ran 100 yd in the same length of time. Who ran faster? explain.
Would you be walking faster if you walked 1 dam in 10 min or 1 hm in 10 min? explain.
Arrange the quantities in order from smallest to largest.0.032 kl, 460 dl, 48 000 cl
Arrange the quantities in order from smallest to largest.2.6 km, 105,000 mm, 52.6 hm
Arrange the quantities in order from smallest to largest.4.3 l, 420 cl, 0.045 kl
Arrange the quantities in order from smallest to largest.1.4 kg, 1600 g, 16,300 dg
Arrange the quantities in order from smallest to largest.514 hm, 62 km, 680 m
Arrange the quantities in order from smallest to largest.4.4 dam, 0.52 km, 620 cm
The idea of using variables in algebraic equations was introduced by the French mathematician François Viète (1540–1603). Write a paper about his life and his contributions to mathematics. In
Light travels at about 186,000 miles per second through space. The distance, d, in miles that light travels in t seconds can be determined by the function d(t) = 186,000t.(a) Light reaches the moon
While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = -0.85x + 187, where x represents
A house initially cost $150,000. The value, V, of the house after n years if it appreciates at a constant rate of 4% per year can be determined by the function V = f(n) = $150,000(1.04)n.(a)
The spacing of the frets on the neck of a classical guitar is determined from the equation d = (21.9)(2)(20 - x)/12, where x = the fret number and d = the distance in centimeters of the xth fret from
The graph below shows the number of U.S. cellular subscribers, in thou-sands, for the years 1993 through 2012.(a) Does the graph approximate the graph of an exponential function?(b) Estimate the
The following graph shows the global smartphone sales, in millions of dollars, from 2009 to 2013 and projected to 2016.(a) Does the graph approximate the graph of an exponential function?(b) Estimate
Strontium-90 is a radioactive isotope that decays exponentially at a rate of 2.8% per year. The amount of strontium-90, S, remaining after t years can be found by the function S(t) = S0e-0.028t,
Radium-226 is a radioactive isotope that decays exponentially at a rate of 0.0428% per year. The amount of radium-226, R, remaining after t years can be found by the formula R(t) = R0e-0.000428t,
Assume the value of the island of Manhattan has grown at an exponential rate of 8% per year since 1626 when Peter Minuit of the Dutch West India Company purchased the island for $24. The value of the
The population of India in 2013 was about 1.26 billion. Assume that the population of India continues to grow exponentially at the growth rate of 0.75% per year. Thus, the expected population of
The cost of a new SUV is $30,000. If it depreciates at a rate of 18% per year, the value of the SUV in t years can be approximated by the function V(t) = 30,000 (0.82)t. Determine the value of the
The town of Lockport currently has 4000 residents. The expected future population can be approximated by the function P(x) = 4000(1.3)0.1x, where x is the number of years in the future. Determine the
If P is the price of an item today, the price of the same item n years from today, Pn, is Pn =P(1 + r)n, where r is the constant rate of inflation. Determine the price of a movie ticket 10 years from
The number of a certain type of bacteria, y, present in a culture is determined by the equation y = 2000(3)x, where x is the number of days the culture has been growing. Find the number of bacteria
The following graph indicates the hourly temperature, in degrees Fahrenheit, in Rochester, New York, from 10 A.M. through 8 P.M. on Monday, September 8, 2014. The function t(x) = -0.48x2+ 5.0x +
The graph indicates the percentage of the U.S. population that was foreign-born for each decade from 1920 to 2010, and the projected percentage for 2020. The function f(x) = 0.004x2- 0.34x +13.79 can
The distance a car travels, d(t), at a constant 60 mph is given by the function d(t) = 60t, where t is the time in hours. Find the distance traveled in(a) 3 hours.(b) 7 hours.
Marta is a part owner of a newly opened candy company. Marta’s yearly profit, in dollars, is given by the function p(x) = 3.5x -15,000,where x is the number of pounds of candy sold per year. If
Draw the graph of the function and state the domain and range.f(x) = 4x + 1
Draw the graph of the function and state the domain and range.y = 3x - 1
Draw the graph of the function and state the domain and range.y = 2x - 1
Draw the graph of the function and state the domain and range.y = 4x + 1
Draw the graph of the function and state the domain and range.y = 3x - 1
Draw the graph of the function and state the domain and range.f(x) = 2x + 1
Draw the graph of the function and state the domain and range.y = (1/4)x
Draw the graph of the function and state the domain and range.y = (1/3)x
Draw the graph of the function and state the domain and range.f(x) = 4x
Draw the graph of the function and state the domain and range.y = 3x
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
(a) determine whether the parabola will open upward or downward.(b) find the equation of the axis of symmetry.(c) find the vertex.(d) find the y-intercept.(e) find the x-intercepts if they exist.(f)
Graph the function by using the slope and y-intercept.f(x) = -(1/2)x + 3
Graph the function by using the slope and y-intercept.f(x) = (3/2)x - 1
Graph the function by using the slope and y-intercept.f(x) = 2x + 5
Graph the function by using the slope and y-intercept.f(x) = -3x + 2
Graph the function by using the slope and y-intercept.f(x) = 2x + 1
Graph the function by using the slope and y-intercept.f(x) = -x + 3
Evaluate the function for the given value of x.f(x) = -3x2 - 6x + 10, x = -2
Evaluate the function for the given value of x.f(x) = -5x2 + 3x - 9, x = -1
Evaluate the function for the given value of x.f(x) = 3x2 + 2x - 5, x = -1
Evaluate the function for the given value of x.f(x) = 4x2 - 6x - 9, x = -3
Evaluate the function for the given value of x.f(x) = -2x2 + 3x - 1, x = 3
Evaluate the function for the given value of x.f(x) = -x2 - 2x + 1, x = 4
Evaluate the function for the given value of x.f(x) = x2 - 5, x = 7
Evaluate the function for the given value of x.f(x) = x2 - 3x + 1, x = 4
Evaluate the function for the given value of x.f(x) = 8x + 2, x = -2
Evaluate the function for the given value of x.f(x) = -3x + 3, x = -1
Evaluate the function for the given value of x.f(x) = 4x - 1, x = 2
Evaluate the function for the given value of x.f(x) = x + 3, x = 5
Determine whether the set of ordered pairs is a function.{(4, 2), (4, -3), (4, 5)}
Determine whether the set of ordered pairs is a function.{(-1, -1), (0, -1), (3, -1)}
Determine whether the set of ordered pairs is a function.{(1, 2), (-1, 4), (-1, 6), (-1, 9)}
Determine whether the set of ordered pairs is a function.{(2, 5), (2, 7), (2, -1), (2, 2)}
Determine whether the set of ordered pairs is a function.{(-4, 2), (1, 5), (3, -7), (5, 6)}
Determine whether the set of ordered pairs is a function.{(2, 5), (4, 9), (1, 6), (-1, 3)}
Determine whether the graph represents a function. If it does represent a function, give its domain and range. y1 3+ + -3 -2 2 -2+ -3- 2.
Determine whether the graph represents a function. If it does represent a function, give its domain and range. УI 2- 10 х -2-
Determine whether the graph represents a function. If it does represent a function, give its domain and range. 4- -4 -4
Determine whether the graph represents a function. If it does represent a function, give its domain and range. ут 30- +> 30 x -30 -30-
Determine whether the graph represents a function. If it does represent a function, give its domain and range. -8 -2
Determine whether the graph represents a function. If it does represent a function, give its domain and range. 2- -2-
Determine whether the graph represents a function. If it does represent a function, give its domain and range. 15 -15 15 * -15-
Determine whether the graph represents a function. If it does represent a function, give its domain and range. + -6 -6
Determine whether the graph represents a function. If it does represent a function, give its domain and range. -2 -2- 2.
Determine whether the graph represents a function. If it does represent a function, give its domain and range. 2- -2 2 -2-
Determine whether the graph represents a function. If it does represent a function, give its domain and range. 2- х -2 -2
Determine whether the graph represents a function. If it does represent a function, give its domain and range. -2 -2-

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