You show up early in the morning to buy tickets for a concert but you find a long line and are told that the average time between arrivals has been about 15 minutes. What is the chance you will lose your place at the end of the line, if after just arriving, you leave for 5 minutes to use the restroom

Determine domain and range, largest open interval, and intervals which function is continuous.

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).

Circle a has center of (2,3) and a radius of 5 and circle b has a center of (1,4) and a radius of 10. what steps will show that circle a is similar to circle b 1) dilate circle a by a scale factor of 2 2) translate circle a using the rule (x+1,y-1) 3) rotate circle a 180 degrees about the center 4) reflect circle a over the y-axis