Hernando ate of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally
To determine the fraction of the whole pizza that each of his friends received Hernando performed the calculations
below
(6-5) 1
8
1
He concluded that each person received g of the whole pizza Are Hemando's calculations correct? Explain why or
Yes, they are correct. Hemando divided 6 by 6.
Yes, they are correct. Hernando divided by 6.
No, they are not correct. Hemando should have multiplied by 6. not divided by 6.
No they are not correct Hemando should have divided 8 by 6. not 6 by 6.

Yes, they are correct. Hemando divided 6 by 6

Step-by-step explanation:

have a good day srry if its wrong:)

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.