If x=30^. verify that sin x=sqrt((1+cos2x)/(2)

Given that (x-3) is a factor of f(x)=x^3+ax^2-x-6, find a and hence the number of real roots or the equation f(x)=0

Note: remember to show all of the steps that you use to solve the problem. be sure to use the text box where the question mark first appears to show your mathematical work. you can use the comments field to explain your work. your teacher will review each step of your response to ensure you receive proper credit for your answer. ! i will pay you to do this for me! will mark brainliest. i am not lying solve the following problem. jana buys a dress for $25.98 and a for $14.99. the total sales tax is $2.46. a. what is the total cost of her purchase? b. if jana pays with a $50 bill, how much change should she receive?

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a. the profit when the unit price is equal to 0b. the unit price(s) when the profit is equal to 0c. the profit when the unit price is greatestd. the unit price(s) when profit is greatest