At the start of a hike, a hiker was at a elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 per minute. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker's elevation was higher than 5 feet above sea level.

t > 3.66667 minutes

Step-by-step explanation:

The height of the hiker at any time is given by

H(t) = -50 + 15t

At H = 5 ft,

5 = -50 + 15t

15t = 55

t = (11/3) = 3.6667 minutes; the hiker's elevation is exactly 5 ft at this point.

From then on,

H(t) > 5 ft

-50 + 15t > 5

t > 3.6667 minutes

45

step-by-step explanation:

smple

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