(a) what is wrong with the following equation?

x2 + x − 42/ x − 6 = x + 7

1)(x − 6)(x + 7) ≠ x2 + x − 42
2)the left-hand side is not defined for x = 0, but the right-hand side is.
3)the left-hand side is not defined for x = 6, but the right-hand side is.
4)none of these — the equation is correct.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.