What properties justify the statement 3(5+6)=3•5+3•6

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number?

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?

Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. if she buys 2 sketchpads, how many pemcils can she buy while staying in her price range? fatima can buy between and pencils. ? (type whole numbers. use ascending? order.)