What are the x-intercepts of the quadratic function? f(x)=x2+2x−24 enter your answers in the boxes.

The x-intercepts are (-6,0) and (4,0).

Step-by-step explanation:

To find the x-intercepts, find the roots of the function by factoring the quadratic or using the quadratic formula. This expression is factorable so find two number which multiply to -24 and add to 2. These are 6 and -4.

Write them as (x+6)(x-4) =0.

Set each one equal to 0 and solve for x.

x+6=0 so x=-6

x-4=0 so x=4

The x-intercepts are (-6,0) and (4,0).

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

source: