Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...minus, 10, comma, minus, 4, comma, 2, comma, 8, comma, point, point, point
Carlos said the formula is f(n)=-10+6nf(n)=−10+6nf, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, n.
Ana said the formula is f(n)=-10+6(n-1)f(n)=−10+6(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 6, left parenthesis, n, minus, 1, right parenthesis.
Which one of them is right?

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

step-by-step explanation:

659

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)