Ethan and Layla work at a furniture store. Ethan is paid $235 per week plus 9.5% of his total sales in dollars, x , which can be represented by g(x) = 235 + 0.095x . Layla is paid $53 per week plus 10.5% of her total sales in dollars, x , which can be represented by f(x) = 53 + 0.105x. Determine the value of x, I’m dollars, that will make their weekly pay the same.

What is the equation of the line in point-slope form? y+ 4 = 1/2(x+4) y-4 = 1/2(x + 4) y-0 = 2(x - 4) y-4 = 2(8-0)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.