Hi please help me I got stuck!

  output = n - 3

Step-by-step explanation:

When you're trying to determine the functional relationship between values in a given set of points, there are a few things you can look at.

If the relation is a proportion, the ratio of output to input values will be a constant. Here, those ratios are 1/4, 3/6, 6/9 = 1/4, 1/2, 2/3. These values are different, so we know we're not dealing with a proportion.

If the input values are evenly spaced, you can look at first differences. Here, they're not, so we look at the ratios of first differences:

  (y2 -y1)(x2 -x1) = (3-1)/(6-4) = 2/2 = 1

  (y3 -y2)/(x3 -x2) = (6-3)/(9-6) = 3/3 = 1

These ratios are the same (1), so you know the relation is linear, and it has a slope of 1. This is enough information to make use of the point-slope form of the equation for a line. Using the first input-output pair, we have ...

  y -1 = 1(x -4)

  y = x -4 +1

  y = x -3

We are told to use 'n' as the input value, so we can write this as ...

  output = n - 3

Additional comment

We came to a conclusion before we got to the last thing we could look at. The number of points given (here, 3) will be one greater than the degree of the polynomial the table can represent. Here, we're given 3 points, so the highest-degree function that the table could represent is 2nd degree, a quadratic.

3 points (not on a line) can always be matched by a quadratic function. They might also be matched by an exponential function, so one of the things you can check is to see if the output values are some number raised to the power of the input.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages