A baton twirler releases a baton at a height of 5 feet above the ground with the initial velocity of 30 feet per second. The height of the baton t seconds after it is thrown is given by the function, ℎ(t) = −16t^2 +30t +5, where ℎ(t)is the height of the baton in feet. a.) How high is the baton after 1.5 seconds? Round your answer to the nearest hundredth, if applicable.
b.) What is the maximum height of the baton? Round your answer to the nearest hundredth, if applicable.
c.) How long does it take for the baton to reach its maximum height? Round your answer to the nearest hundredth, if applicable.
d.) She catches the baton at a height of 6 feet. How long is the baton in the air? Round your answer to the nearest hundredth, if applicable. Justify your answer.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative