The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the following functions:
seven-iron: h=-0.002d^2 + 0.3d
nine-iron: h= -0.004d^2 + 0.5d

a) at what distances is the ball at the same height when either of the clubs used?
b) what is this height?

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions:

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

(b)

Put d = 100 in

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5