Answer:
{(-14,9),(4,-7),(-8,6)}.
Step-by-step explanation:
To find the inverse you just swap x and y.
So if (a,b) is a point on the relation then (b,a) is on it's inverse.
So the inverse of {(9, –14), (–7, 4), (6, –8)} is:
{(-14,9),(4,-7),(-8,6)}.
Answer:
Step-by-step explanation:
When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.
10/ sqrt(2) = 7.1 is the rounded answer.
to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)
To find the percent of the monthly income that is savings, you will divide the amount saved by the total amount of income.
300/1387 = 0.216
The approximate percentage of income that is savings is 22%.
We cannot calculate the confidence interval without the sample size. However, for the second question, the sample size needed would be 49.
The formula we use is

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.
Using the z-score, our standard deviation (9) and our margin of error (3), we have:
It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.