Which of the following events has a probability of 1? a: i will get a perfect score on my math test if i study b: i will die some day c: the world will go on turning if i fail my test a) a and c b) a andb c) b only d) b and c e) all of them

Sample response: the vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. find any two x-intercepts that are equal distance from the axis of symmetry. use those x-intercepts to write factors of the function by subtracting their values from x. for example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function. which points did you include in your response? check all that apply.

Alex drew a circle with right triangle prq inscribed in it, as shown below: the figure shows a circle with points p, q, and r on it forming an inscribed triangle. side pq is a chord through the center and angle r is a right angle. arc qr measures 80 degrees.

In exponential growth functions, the base of the exponent must be greater than 1,how would the function change if the base of the exponent were 1? how would the fiction change if the base of the exponent were between 0and 1