math

posted by .

I need to sketch the graph of t(x)=2x^2 +3x > or equal to 10x-x^2. How do I work out the points to plot on the graph?

  • math -

    one way: graph both functions and see where one is above the other. Visit

    http://rechneronline.de/function-graphs/

    and you can graph up to three functions at once. Set the y range for -20 to 20.

    algebraic way:

    2x^2+3x > 10x-x^2
    3x^2 - 7x > 0
    x(3x-7) > 0
    either both factors are negative, or both are positive:
    x is in (-∞,0) U (7/3,∞)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. graph from asymptotes

    Is it possible to roughly sketch a graph(without plotting the points) from the asymptotes of a rational function?
  2. word problems in algebra

    The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is $40 and the variable cost is $10, write the cost …
  3. algebra

    plot points (0,6) and (-3,5) plot points (0,0) and (3,1) how do i graph Get some graph paper. Label the x and y axes. For (0,6), place a mark where x = 0 and y=6. Do simillarly for the other points.
  4. algebra

    Graph the system of inequalities x (lesser or equal to sign)2 y (greater or equal to sign)-2x+4 I am having trouble understanding what points to plot on the graph and also how the graph should be shaded (if at all).
  5. math

    f(x) = x^2 + 10x + 24 =(x^2 + 10x)+ 24 =(x^2 + 10x + 25 - 25) + 24 f(x) =(x+5)^2 - 1 Vertex: (-5, -1) How do you sketch this?
  6. Calculus

    Consider the function f defined by f(x)= sin x/x, x cannot equal 0 1, x cannot equal 0 a) At what points does the graph cross the X-axis?
  7. Algebra II

    1) There is a solution to x = -(y-5)^2 and x = (y -5 )^2 + 7 a) true b) false 2) There is no real solution to y = -1 and y = x^2 + 9 a) true b) false 3) the vertex of the graph of y = 3(x+ 9)^2 + 5 is a minimum value ?
  8. calculus

    answer the questions about the following function f(x)= 10x^2/x^4+25 a. is the point (-sqrt 5,1) on the graph b. if x=3, what is f(x)?
  9. Algebra

    Graph the linear equation y=4/5x+5 I know how to plot the points. I just need help figuring out what numbers to plot.
  10. MATH TRIGONOMETRY

    refer to the polynomial function f(x)= -x(x-1)(x+2) in anwering the folloowing questions. 1.what is the y intercept?

More Similar Questions