engineers are designing a roller coaster that at one point goes underground. The roller coasters path underground is a large curve. The engineers use function shown to model the elevation, E, in feet and T, time, in seconds, all the roller coasters path while it is underground EE(t) = t2 – 10t + 16

Part A: write an equivalent form of E(t) that can be used to find the time when the world coaster goes underground and the time the roller coaster returns above ground

E(t)=

Part B: how long, in seconds, was the roller coaster underground?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

The perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length

Consider the equation  y−2=3(x+2).which option correctly identifies the point and slope from the equation and also provides the graph that correctly represents the equation?