# Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 113133: Solve. The U.S population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The above formula for the United States then becomes (p(in millions) = 250 X 2 to the power of (y-1990)/66 What will the population of the United States be in 2025 if this growth rate continues? Click here to see answer by stanbon(57387)

 Question 113301: Solve the system by substitution. Show all work! 2x – 2y = 2 y = 3x – 17 Click here to see answer by SHUgrad05(58)

 Question 113302: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution. Click here to see answer by ptaylor(2048)

 Question 113306: Solve the system by graphing. 2x + y = 4 x + y = 3 Click here to see answer by MathLover1(6638)

 Question 113307: Solve the system by graphing. x – 2y = 8 x + y = –1 Click here to see answer by MathLover1(6638)
 Question 113307: Solve the system by graphing. x – 2y = 8 x + y = –1 Click here to see answer by solver91311(16897)

 Question 113305: Solve the system by graphing. x + 2y = 4 x + 2y = –2 Click here to see answer by MathLover1(6638)

 Question 113304: Solve the system by graphing. x – y = 2 3x – 3y = 6 Click here to see answer by MathLover1(6638)

 Question 113297: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities. Note: There are 4 inequalities to be graphed! Click here to see answer by stanbon(57387)

 Question 113303: Solve the system by addition. Show all work! 5x – 6y = –6 x – 4y = –4 Click here to see answer by MathLover1(6638)

 Question 113300: Solve the system by substitution. 3x – y = –7 x + y = –9 Click here to see answer by MathLover1(6638)

 Question 113356: I need to graph this linear equation but I do not understand it. Can you help me? It is 6x+7=-14y Click here to see answer by checkley71(8403)

 Question 113404: Describe in words the graph of this curve below. Include in your description the shape, along with other possible relevant information such as length, width, and center points. Thanks! (X-1)2 + (Y-8)2 = 16 Click here to see answer by scott8148(6628)

 Question 113744: Either this one is so easy and I am thinking to hard, or I am just stupid. I believe I have the answer but I just need some assurance that I have it right. Thanks! Graph the solution set of x<=4 Click here to see answer by stanbon(57387)

 Question 113776: Find the slope of 2, -2, 1/2 and -1/2 Click here to see answer by checkley71(8403)

 Question 113775: Find the slope of the graphed lines of 0 ,1, -2 and undefined. HUH? I dont get it. Click here to see answer by MathLover1(6638)

 Question 113649: Graph the solution set of x <= 4. Click here to see answer by jim_thompson5910(28598)

 Question 113794: Graph f(x)=x^4-4x^2 First find the x-intercepts then evaluate f(-3),f(-1),f(1),f(3) Click here to see answer by jim_thompson5910(28598)

 Question 113796: Given f(x)=x^3+2 and g(x)=cube_root(x-2), show that f(g(x))=x and g(f(x))=x. Graph both functions on the same set of coordinate axes. Click here to see answer by jim_thompson5910(28598)

 Question 113786: Rewrite the equation 4x – 10y = 11 as a function of x. Click here to see answer by checkley71(8403)

 Question 113787: Given f(x) = 5x2 – 3x + 1, find f(–2). Click here to see answer by checkley71(8403)

 Question 113911: Find an equation for the line with y-intercept 3 that is perpendicular to the line: y=2/3x-4 Click here to see answer by jim_thompson5910(28598)

 Question 113925: Find the equation for the line with y-intercept 3 that is perpendicular to the line: y=2/3x-4 Possible answers: A) 2y=6-3x; B) 2y=3x+6; C) 3y=9-2x; D) 3y=2x+9 Click here to see answer by jim_thompson5910(28598)

 Question 113965: can you help me write an equation of the line having the following properties. is parallel to the graph of (5/4)x-3 and passes through the origin? Click here to see answer by stanbon(57387)
 Question 113965: can you help me write an equation of the line having the following properties. is parallel to the graph of (5/4)x-3 and passes through the origin? Click here to see answer by checkley71(8403)
 Question 113965: can you help me write an equation of the line having the following properties. is parallel to the graph of (5/4)x-3 and passes through the origin? Click here to see answer by MathLover1(6638)

 Question 114057: How would you graph the equation 3x + 2y = -6 and how do you change an equation into the standar form? thanks!! Click here to see answer by jim_thompson5910(28598)

 Question 114190: Find the slope of the line passing through the points (7, 10) and (8, –8). Click here to see answer by jim_thompson5910(28598)

 Question 114186: Write the equation of the line that passes through point (7, –18) with a slope of –2. Click here to see answer by jim_thompson5910(28598)

 Question 114189: Find the slope and y-intercept. –5x + 10y = 70 Click here to see answer by jim_thompson5910(28598)
 Question 114189: Find the slope and y-intercept. –5x + 10y = 70 Click here to see answer by stanbon(57387)

 Question 114187: Write the equation of the line with slope 2/3 and y-intercept (0, 5). Then graph the line. Click here to see answer by jim_thompson5910(28598)

 Question 114185: Graph the inequality. x – y < 2 Click here to see answer by jim_thompson5910(28598)

 Question 114181: Solve the system by graphing. 2x + y = 8 2x – y = 0 Click here to see answer by jim_thompson5910(28598)

 Question 114179: Solve the system by addition. 4x – 9y = –14 x + 2y = 5 Click here to see answer by jim_thompson5910(28598)

 Question 114177: Solve the system by substitution. 5x + 5y = 0 y = –3x – 2 Click here to see answer by jim_thompson5910(28598)

 Question 114173: Solve the following system of linear inequalities by graphing. x – y > 3 x + 2y > 6 Click here to see answer by jim_thompson5910(28598)

 Question 114175: The difference of two numbers is 16. The second is 9 less than 2 times the first. What are the two numbers? Include the 2 equations and your work for solving using equations. Click here to see answer by stanbon(57387)

 Question 114172: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities. Click here to see answer by ankor@dixie-net.com(15660)