Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 3x-6
h(x) = 5x
Write the expressions for (g-h)(x) and (g+h)(x) and evaluate (g-h)(-1)

Is it true that product of 3 consecutive natural numbers is always divisible by 6? justifyyour answer

Δabc is dilated by a scale factor of 3 with the origin as the center of dilation to form δa′b′c′. the slope of is -1.2. the length of is p units, the length of is q units, and the length of is r units. the slope of is . the length of is units.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.