a rock is thrown from the top of a building which measures 48 foot high. the graph shows the height, y, of the rock from the ground after x seconds. on which interval is the rock's height always decreasing?
a) x > 0
b) 0 < x < 2.5
c) 0 < x < 5.5
d) 2.5 < x < 5.5

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

hi there!

the answer will be d: 2