Answer this using the pictures.. a paper airplane is thrown off a 64-foot bridge into the water below. its height, in feet, is represented by f(x) = –16(x2 – 3x – 4), where x is the number of seconds since the airplane was thrown. the height of the airplane is 0 feet when it hits the water.

A. In case you have trouble finding factors of -4 that add to -3, you can read the coordinates of the zeros from the given graph and use those to find the factors.

-4 = -4·1 = -2·2 = -1·4 . . . . . sums of these factors are -3, 0, +3

The factors of -4 you can use in your factors of the equation are -4 and 1:

f(x) = -16(x-4)(x+1)

B. The zeros are the values of x that make the factors become zero. For the first factor, that is x=4. For the second factor, that is x=-1. (You can see these x-intercepts in the graph.)

C. The problem statement tells you f(x) = 0 means the paper airplane is at the level of the water.

D. Since we start measuring time at t=0 when we release the airplane, the value t=-1 has no meaning in this context. No, only one zero has real-world meaning.

E. Since x is the number of seconds since the airplane was thrown, the fact that x=4 when f(x) = 0 means it takes 4 seconds for the airplane to hit the water.

40% off the regular price is the correct answer.

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.