1 Factor the polynomial over the set of real numbers. (a) f(x) = 25x^2 - 10x - 24​

(5x+4)(5x-6)

Step-by-step explanation:

Separate into two parts, first realizing that the only two factor pairs for 25 are 5 and 5 or 1 and 25. Using 5 and 5 makes the most sense, so

(5x      )(5x     )

The other two numbers need to multiply to -24 and add up to -10.

Pairs that muliply to 24 could be 1 and 24, 2 and 12, 3 and 8, and 4 and 6. The more you factor the easier it will be to quickly discern which numbers to use. In this case, the right pair is 4 and 6. Because it needs to add up to -10, it should be 4 and -6 (because multiplying out, -30 + 20 = -10).

Thus, the final factored equation is (5x+4)(5x-6). You can check this by FOILing and making sure you get the original equation.

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'.

1.30

step-by-step explanation: