Joselyn is a manager at a sign-painting company. she has two painters, allen and brianne. allen can complete a large project in 16 hours. brianne can complete the project in 18 hours. joselyn wants to know how long it will take them to complete the project together. write an equation and solve for the time it takes allen and brianne to complete the project together. explain each step.

Let area to be painted = X m²

Rate for Allen = X / 16 m² / h

Rate for Brianne = X / 18 m² / h

Combined rate

X/16 + X/18 m² / h

[ 18X + 16X ] / 144 m² / h

34 X / 144 m² / h

time = X / [ 34 X / 144 ] h

time = 144 / 34 h

time = 4 h 14 min

step-by-step explanation:

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.