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viktelen [127]
3 years ago
6

The graph of this system of equations is used to solve 4x^2-3x+6=2x^4-9x^3+2x What represents the solution set?

Mathematics
2 answers:
hammer [34]3 years ago
8 0

We are given equation : 4x^2-3x+6=2x^4-9x^3+2x.

Let us write it in form of a system of two equations:

y= 4x^2-3x+6 and

y =2x^4-9x^3+2x

Let us put those equations on a graphing calculator to get the graphs of the above system of equations.

<h3>From the graph, we can see that y-intercepts are : (0,0) and (0,6).</h3><h3>x-intercepts are (-0.45, 0) (0,0), (0.5,0) and (4.45,0)</h3><h3>y-coordinate of the intersection points : 14.69.</h3><h3>x-coordinates of the intersection points : -1.15</h3>

Alex17521 [72]3 years ago
8 0

Answer:

The solution is x-coordinate of the intersection points

D is correct

Step-by-step explanation:

Given: 4x^2-3x+6=2x^4-9x^3+2x

We need to find solution of given equation.

First we make system of equation and then find intersection point of graph.

y_1=4x^2-3x+6

y_2=2x^4-9x^3+2x

Now we draw the graph of system of equation using graphing calculator.

Please see the attachment for graph.

In graph both equation intersect at two points.

Point of intersection gives the solution of the equation.

x-coordinate of the intersection of graph gives the solution because function depends on x.

Hence, The solution is x-coordinate of the intersection points

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Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan
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The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

                  Trash can has a height of 24.90 inches

                  Diameter of 15.50 inches

Step:1

                Formula to calculate the volume of cylinder,

                              Volume, V = \pi r^{2} h.............................(1)

               Where, r - radius of cylinder

                           h - Height of cylinder

               From given,

                          h - 24.90 inches

                          D - 15.50 inches

                Diameter to radius conversion,

                                   Radius, r = \frac{d}{2}

                                                   = \frac{15.50}{2}

                                                r = 7.75 inches

              Equation (1) becomes,

                                                V = \pi (7.75^{2} )(24.90)

                                                    = \pi (60.0625)(24.90)

                                                    =\pi (1495.556)

                                                    =(3.1416) (1495.556)           (∵ \pi = 3.1416 )

                                                    = 4698.42

                                                   ≅ 4698 cubic inches

           Volume of trash can, V = 4698 cubic inches

Result:

             The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.                                

                                     

6 0
2 years ago
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