The probability is 60% that you will get the same colour twice because one colour has more marbles that the other coloured marble.
Answer: D: y<4x-2
Step-by-step explanation:
4x - 2 > y:
The line is dotted and shading is below the line since y is less than 4x-2.
The area under a graph is given by the integral of that function, evaluated in the interval of interest:
![\displaystyle \int_{-3}^2 x^2+4\;dx = \left[\dfrac{x^3}{3}+4x\right]_{-3}^2 = \left[\dfrac{2^3}{3}+4\cdot 2\right]-\left[\dfrac{(-3)^3}{3}+4\cdot(-3)\right] = \left[\dfrac{8}{3}+8\right]-\left[-9-12\right] = \dfrac{32}{3}+21 = \dfrac{95}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_%7B-3%7D%5E2%20x%5E2%2B4%5C%3Bdx%20%3D%20%5Cleft%5B%5Cdfrac%7Bx%5E3%7D%7B3%7D%2B4x%5Cright%5D_%7B-3%7D%5E2%20%3D%20%5Cleft%5B%5Cdfrac%7B2%5E3%7D%7B3%7D%2B4%5Ccdot%202%5Cright%5D-%5Cleft%5B%5Cdfrac%7B%28-3%29%5E3%7D%7B3%7D%2B4%5Ccdot%28-3%29%5Cright%5D%20%3D%20%5Cleft%5B%5Cdfrac%7B8%7D%7B3%7D%2B8%5Cright%5D-%5Cleft%5B-9-12%5Cright%5D%20%3D%20%5Cdfrac%7B32%7D%7B3%7D%2B21%20%3D%20%5Cdfrac%7B95%7D%7B3%7D)
Answer:
<em>one</em><em> </em><em>solution</em><em> </em>
<em>no</em><em> </em><em>solution</em><em> </em>
<em>infinity</em><em> </em><em>solutions</em><em> </em>
Step-by-step explanation:
A: If the graphs of the equations intersect, then there is one solution that is true for both equations.
B; If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
C; If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations
