For starters, find the common change in the terms, in this case each goes down by 3. This lets you know you're gonna have a -3n in your equation as each term decreases by 3. Your equation should be in f(n)=c+rn form, with r being change in f(n), or -3 in this case. This gives you f(n)=c-3n. Now, solve for c, add 3n to both sides to get f(n)+3n=c. Plug in your n of 1 and f(n) of 20 to get c=20+3(1)=23. Plug in your c to your f(n) formula to get f(n)=23-3n as your f(n) function.
Answer:
inside
√((5-(-5))^2+((-24)-(-8))^2)=√(10^2+16^2)=√356<25
19 over 4 is your answer unless you want me to simplify it for u
Answer:
A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.
Step-by-step explanation:
In order for it to be a fair decision, both boys have to have an equal chance of being selected.
For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.
For choice B, there is 1 way to get both heads when flipping a coin. There are 2 ways to get heads and tails when flipping a coin. This gives Scott a greater chance, so this is not fair.
For choice C, there are 2 ways to get a 1 or a 2. There are 4 ways to get anything else. This gives Scott a greater chance, so this is not fair.
For choice D, there are 3 even numbers and 3 odd numbers. Both boys have an equal chance, so this is fair.