Question

Application of Parabolas – highway overpasses/underpasses

A Highway underpass is parabolic in shape.

A parabola is the graph that results from p(x) = ax2 + bx + c. Parabolas are symmetric about a vertical

line known as the axis of symmetry. The axis of symmetry runs through the maximum or minimum

point of the parabola is called the vertex.

a. If the highway overpass is represented by x

2 – 4x, then its zeros are:

i. (2, -2) ii. (0, 4) iii. (0, -4) iv. (4, -4)

b. If one zero of polynomial 3x2

-8x-2k-1 is seven times the other, the value of k is:

i. 3 ii. 1/3 iii. -5/3 iv. None of these

c. The representation of the highway whose zeros are 5 and -5 is:

i. x

2 – 5x – 5 ii. x

2 – 25 iii. x

2 – 5 iv. x

2 + 5x – 5

d. If the product of the zeros of the polynomial kx2 + 41x + 42 is 7, then the zeros of the

polynomial (k-4) x

2 + (k+1) x + 5 is:

i. (-1, 0) ii. (0, 5/3) iii. (0, 5/2) iv. (-1, -5/2)

e. If p(x) = ax2 + bx + c represents highway underpass and a + c = b, one of its zeros is:

i. 0 ii. 1 iii. -1 iv. Cannot be determined​

Answer 1

Answer:

Three coins are tossed simultaneously. Write the sample space and answer the given

questions. (i) Find the probability of getting at least one tail. (ii) Find the probability

of getting at most three heads.