According to the constitution, the amount of time the president and vice president serve in office together for one term is
four years
six years.
seven years
ten years

The correct option is D. four years.

The amount of time the president and vice president serve in office together for one term is four years.

As we take a look on the constitution of USA we found that Article Two of the United States Constitution establishes the executive branch of the federal government, which carries out and enforces federal laws.

Article Two vests the power of the executive branch in the office of the president of the United States, lays out the procedures for electing and removing the president, and establishes the president's powers and responsibilities.

Hence the president and vice president serve in office together for 4 years.

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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.

1/4 because there is 4 grades.