You are taking a quiz that has 9 multiple-choice questions. If each question has 3 possible answers, how many different ways are there to answer the test?

19 683

Step-by-step explanation:

Think of it as s lock..

A normal combination lock usually have 3 scrollwheels with 10 different positions in them.. (0 1 2 3 4 5 6 7 8 9)

The smallest number you can make is 000

and the biggest is 999

therefore there are a total number of 1000 possible combinations. (001, 002, 003 ... 134, 135, 136 ... 876, 877)

I think you get it.

Simply: 10 ^ 3 = 1000

In your question we have 9 "scroll wheels" with 3 "different positions" in them

So we simply do: 3 ^ 9 = 19 683

There you go, hope i could help

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

tried on you are knowing that we can't leave the picture in the graph ok no problem now you need to send it in the question group