Iknow that this is a lot but i really need hopefully, the reward will ! a satellite dish has the shape of a parabola, the u-shaped graph of a quadratic function. suppose an engineer has determined that the shape of one of the satellite dishes offered by the company can be modeled by the quadratic function y = 2/27x^2 - 4/3x, where y is the vertical depth of the satellite dish in inches and x is the horizontal width in inches. a) is the vertex of the function a maximum or minimum point, and how can you tell? b) find the x-coordinate of the vertex. show all work leading your answer and write the answer in simplest form. c) find the y-coordinate of the vertex. show all work leading your answer and write the answer in simplest form. d) write the vertex as an ordered pair (x, y). what does the vertex represent for this situation? write 1 -2 sentences to explain your answer.

The size of a certain cell is 2.5*10^-9m. another cell is 1.5*10^3 times larger. how large is the larger cell in scientific notation?

Tatiana reads 40 pages of her book every night for x number of nights. write an expression that shows the number of pages she has read

Amovie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. the columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor. viewer's age group excellent good average poor marginal totals 16-25 52 42 12 7 113 26-35 33 50 5 9 97 36-45 58 12 28 34 132 which of these observations is supported by the data in the table? note: a rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. a. the majority of the audience in the 26-35 age group disliked the movie. b. among those who liked the movie, the majority were in the oldest age group. c. among those who disliked the movie, the majority were in the 26-35 age group. d. the majority of the audience in the 16-25 age group liked the movie. e. the majority of the audience from all the age groups disliked the movie