Which of the following describes events that are dependent? The first child in a family is a boy. The second child is also a boy.
Without looking, you select a blue marble from a bowl. You return the marble to the bowl and then draw a red
marble.
You choose a red card from a deck of 52 cards and keep it. Then you choose another red card.
A boy rolls a 5 on a six-sided die. The boy rolls the die again and gets another 5.

In the first question The family would be the dependent.

the second one it is the amount of marbles that are inside the bowl.

third it is 52 cards in the deck

fourth it is a six-sided die.

Step-by-step explanation:

I hope that helps The first two were kinda shady but the other ones should most definitely be right.

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.