Graph this function: f(x) = x2 −4x − 5 Step 1: Identify a and b.

a =

1

, b =

−4

Step 2: Find the vertex using the formula x=−b2a.

x=42(1)x =

-

Answer key below images.

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Select 2 statements that are true about the equation y+6=-10(x-3).1) the slope of the line is -102) the slope of the line is 33) one point on the line is (3,6)4) one point on the line is (3,-6)

Find the area of an equilateral triangle with a side of 6 inches

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.