Algebra (need help quick)

17. solve the equation using the zero-product property. 6x(3x+1)=0
A.x=0,1/3
B.0,1
C.0,-1/3
D.0,-1

18.Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 6x(3x+1)=0
A.x=0,1/3
B.x=0,1
C.x=0,-1/3
D.x=0,-1

19. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y=0.006x^2+10.1x+5, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
A.168.83 m
B.5.00 m
C.84.17 m
D.168.34 m

20. How many real-number solutions does the equation have? -7x^2+6x+3=0
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
If you have the rest of the Unit 8 lesson 2 Semester B exam for Algebra on connexus please let me know

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  1. 17.
    well if x = 0, that works
    and if 3x +1 = 0, that works

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    Damon
  2. 18. well I already know that x = 0 and x = -1/3 works but
    18 x^2 + 6 x + 0 = 0
    x = [ -6 +/- sqrt (36 - 0) ] / 36
    x = [ -6 +/-6 ] /36
    x = 0/36 or x = -12/36
    but we knew that

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    Damon
  3. 19. just learned how to solve quadratic. So what is x when y = 0? (the big one, not the one from before the launch.)

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    Damon
  4. 20. what is b^2 - 4 a c ???

    if 0, one solution (parabola vertex just touches x axis)
    if negative, complex solutions, none real
    if positive, two real

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    Damon
  5. Thanks Damon for the help! Can you list all the answers in one message so im not confused and put the wrong answer?

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