If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

.

Step-by-step explanation:

Let denote a constant (a number, rather than a variable like .)

Let denote an expression about (for example,

By the factor theorem, if is a factor of , then . In other words, if all mentions of in the expression are replaced with , then the expression should evaluate to zero.

is equivalent to . That is: .

Replace all mentions of in by to get:

.

That should evaluate to zero. Therefore: . Solve for to get .

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'.