The function f(x) = 2.75x? - 36.9x +104.9 describes the united states trade balance with mexico in billions of dollars
for the period 1994-1998 (1994 corresponds to x = 4).
1. according to the function when was the u. s. deficit greatest (largest negative value)?
2. when was trade balanced (y = 0) for the period 1994-1998?
3. if the function continues to model u. s.-mexican trade, will trade be balanced again? when?

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents