What is the discontinuity and zero of the function f(x)= 2x2+5x-12/x+4

Option A.

Step-by-step explanation:

The given function is f(x) =

If denominator of the fraction is zero then the function will be discontinued.

In other words at (x + 4) = 0 the given function will be discontinued.

x = -4 will be the point of discontinuity

Now we will find the factors of numerator to find the zeros of the function.

2x² + 5x - 12 = 2x² + 8x - 3x - 12

                    = 2x(x + 4) - 3(x + 4)

                    = (x + 4)(2x - 3)

Now these factors (x + 4) = 0 and (2x -3) are the zero factors of the function.

Therefore, x = will be the zero of the function.

In option A x = -4 is the point of discontinuity and (, 0) is the zero of the function.

Option A will be the correct option.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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