1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he apply the distributive property correctly? Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.

Dots sells a total of 279 t-shirts ($2) and shorts ($4). in april total sales were $670. how many t-shirts and shorts did dots sell?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).