A runners distance is measured over 10 km. His distance is recorded every 5
minutes. The runner's time for 10km is 60 minutes. (assume time is measured in
minutes, and distance in kilometres)
Determine if the above data is discrete. If it is write yes in the first blank, record its
domain in the second blank, and the Range in the third blank. If it is continu
no in the first blank, the domain in inverval notation in the second blank, and the
range in interval notation in the third blank.

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

after simplifying it i got: -36.25 as my answer. hope that !

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x