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Try to solve the following quadratic equations using the factoring method. If it doesn't work, use the quadratic formula. Sketch the parabola.

1) y = x^2 + 3x + 1

2) y = x^2 + 4x - 8

3) y= x^2 - 5x - 12

Step-by-step explanation:

1) x² + 3x + 1 = 0

a = 1    b = 3     c = 1

=> Δ = b² - 4ac = 9 - 4.1.1 = 5 > 0

so the quadratic equation have 2 solutions

=> x =

or  x =

2) x² + 4x - 8 = 0

a = 1    b' = 2    c = -8

Δ' = b'² - ac = 4 - 1.(-8) = 12 > 0

so the quadratic equation have 2 solutions

=> x =

or x =

3) x² - 5x -12 = 0

a = 1       b = -5    c = -12

Δ = b² - 4ac = 25 - 4.1.(-12) = 25 + 48 = 73 > 0

so the quadratic equation have 2 solutions

=> x =

or x =

linear pair postulates

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.