If ƒ(x) = 15x + 7 and g(x) = x2 – 5x, find (ƒ + g)(x). a. (ƒ + g)(x) = x2 + 10x +7 b. (ƒ + g)(x) = 15x2 – 75x +7 c. (ƒ + g)(x) = 15x + g + 7 d. (ƒ + g)(x) = 15x3 – 68x2 – 35x

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec