Abigail is investing in the stock market and has a maximum budget of $6,300 with which to purchase stock in two promising companies. Stock in the software company currently sells for $42 per share. Stock in the robotics company is currently trading at $8 per share. Write the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of shares in the software company y = the number of shares in the robotics company​

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?

Let x = a + bi and y = c + di and z = f + gi. which statements are true?