Astarfish is attached to a rock 3 inches below the level of the water at a high tide at low tide the starfish is 1 inch above the level of the water which integer shows the starfish position at low tide

Integer that represent position of star fish at low tide is  +1 .

Step-by-step explanation:

we are given

At high Tide star fish is 3 inches below the level of water.

At low tide star fish is 1 inch above the level of water.

Now if we take level of water as 0 on number line of integers then distance above the level of water represented by positive integers and distance below the level of water represented by negative integers.

So, At low tide star fish position represented by positive integer that is +1 as it was above level of water.

Therefore, Integer that represent position of star fish at low tide is  +1 .

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.

d

step-by-step explanation: