A family of parabolas have rules of the form y = ax2 + c. For the parabola in this family that passes through the point (-1, 4) and (0, 8), find the values of a and c.

What basic trigonometric identity would you use to verify that csc x sec x cot x = csc^(2)x

How many solutions does the nonlinear system of equations graphed below have?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.