Factor the following binomial 8x² +27

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

Aprobability experiment is conducted in which the sample space of the experiment is s={7,8,9,10,11,12,13,14,15,16,17,18}, event f={7,8,9,10,11,12}, and event g={11,12,13,14}. assume that each outcome is equally likely. list the outcomes in f or g. find p(f or g) by counting the number of outcomes in f or g. determine p(f or g) using the general addition rule.

Ted and meg have each drawn a line on the scatter plot shown below: the graph shows numbers from 0 to 10 on x and y axes at increments of 1. dots are made at the ordered pairs 1, 8 and 2, 7.5 and 3, 6 and 4, 5.5 and 4.5, 4.8 and 5, 4 and 6, 3.5 and 7, 3 and 8, 1.9 and 9, 1.2 and 10, 0. a straight line labeled line p joins the ordered pairs 0, 8.5 and 10.1, 0. a straight line labeled line r joins the ordered pairs 0, 8.5 and 7.8, 0. which line best represents the line of best fit? line p, because it is closest to most data points line p, because it shows a positive association line r, because it is closest to most data points line r, because it shows a negative association