I NEED HELP THIS IS LITERALLY MY LAST ASSIGNMENT. Jen and her friends are designing a robot for a STEM competition. The goal of the competition is to have a robot complete an obstacle course in the least amount of time.

Jen and her friends need to consider the robot's height and it's width at its base. The robot must be short enough and narrow enough to navigate through several archways along the obstacle course. The director of the competition laid out components of the obstacle course on a coordinate plane instead of giving the width of the maximum height of the arch the director created an expression based on the location of the arch on the coordinate plane and gave each team the expression to represent the height of the arch in inches at any value of x along the arch

-x^2 + 5x + 24

Factor the expression and use the factors to find the X intercepts of the quadratic relationship it represents.

Type the correct answer in each box starting with the intercept with the lower value.

the X intercepts occur where x = blank __ x = __

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.