Is there an explicit ODE solution for this system?

Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=5x-?

• Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=5x-4 y=5x-5 Simplify the radical expression by rationalizing the denominator. 7(square root)100/(square root)500. a) 7/(square root)400 b) 7(square root)5/5 c) 7 (square root)500/500 The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. a) x+y=82 x-y=24 48 and 24 b) x-y=82 x+y=24 52 and 30 c) x+y=24 y-x=82 48 and 30 d) x+y=82 x-y=24 53 and 29 Factor the expression. k^2+kf-2f^2 a) (k-2f)(k+f) b) (k+2f)(k-f) c) (k+2f)(k+f) d) (k-2f)(k-f) Factor the expression. 6g^2+11g-35 a) (3g+5)(2g+7) b) (3g-5)(2g+7) c) (3g+5)(2g-7) d) (3g-5)(2g-7) Solve the equation by factoring. 3z^2+3z-6=0 a) z=1 or z= -2 b) z=1 or z= 2 c) z= 3 or z= -2 d) z= 3 or z= 2 How many real roots are there for the equation: x^2+4x-1=0? 0 1 2 4 Use the Quadratic formula to solve the equation. 5x^2+9x-2=0 a) 2/5, -4 b)1/5, -2 c)56/5, -13 d)2,-1/5 Simplify the sum. (4u^3+4u^2+2)+(6u^3-2u+8) a) 10-2u+4u^2+10^3 b) -2u^3-2u^2+4u-10 c) -2u+4u^2-2u+10 d) 10u^3+4u^2-2u+10 Simplify the sum. (7u^+8u^2+8)+(8u^3-6u+5) a) 15u^3+8u^2-6u+13 b) -1u^3+8u^2-6u+13 c) 13-6u+8u^2+15u^3 d) -1u^3-6u^2+8u-13 Use the quadratic formula to solve the equation.5x^2-6x-8=0 a) 4/5, -2 b) 101/5, -19 c) 4, -8/5 d) 2, -4/5 Simplify the difference. (-7x-5x^4+5)-(-7x^4-5-9x) a) 2x^4+2x+8 b) -14x^4+10x+10 c) -14x^4-10x+10 d) 2x^4+2x+10 Expand (2k+3)(2k^2-4k-3) a) 4k^3+18k^2-2k-9 b) 4k^3-2k^2+6k-9 c) 4k^3+14k^2-6k-9 d) 4k^3-2k^2-18k-9 Expand (3k+4)(2k^2-5k-4) a) 6k^3-7k^2+8k-16 b) 6k^3-7k^2-32k-16 c) 6k^3+23k^2-8k-16 d) 6k^3+32k^2-7k-16 Use the elimination method to solve the system. -4x+4y= -8 x-4y= -7 a) (3,5) b) (5,3) c) (-3, -5) d) (-5, -3)

• Answer:

  (4u^3+4u^2+2)+(6u^3-2u+8) = 4u^3 +4u^2 +2 +6u^3 -2u +8 = 10u^3 +4u^2 -2u +10 (7u^+8u^2+8)+(8u^3-6u+5) = 7u^10 +8 +8u^3 -6u +5 = 7u^10 +8u^3 -6u +13 5x^2 -6x -8 = 0; x = -4/5 & x = 2 (-7x-5x^4+5)-(-7x^4-5-9x) = -7x -5x^4 +5 +7x^4 +5 +9x = 2x^4 +2x +10 (2k+3)(2k^2-4k-3) = 4k^3 -8k^2 -6k +6k^2 -12k -9 = 4k^3 -2k^2 -18k -9 (3k+4)(2k^2-5k-4) = 6k^3 -15k^2 -12k +8k^2 -20k -16 = 6k^3 -7k^2 -32k -16