SOLUTION: You roll a red die and a green die. What is the size of the sample space of all possible outcomes or rolling these two dice, given that the red die show an odd prime number and the

Question 352149: You roll a red die and a green die. What is the size of the sample space of all possible outcomes or rolling these two dice, given that the red die show an odd prime number and the green die shows an even number? .23
Answer by ulidelri94@yahoo.com(1) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=1. Since , x=1.

Answer: .

Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values

Your Result:

YOUR ANSWER

Graphical form: simplifies to
Text form: x^2-2x simplifies to 3
Cartoon (animation) form:
For tutors: simplify_cartoon( x^2-2x )
If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Replaced x with 3
It becomes .

Look at .
Replace constants in factor: highlight_red%28+3+%29

with

It becomes .

Look at .
Replaced x with 3
It becomes .

Look at .
Replace constants in expression: highlight_red%28+9+%29

with

It becomes .
Result:

Universal Simplifier and Solver

Done!

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/4 = 2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/2 = 4.
Slope is -4/2 = -2.
Equation in slope-intercept form: y=-2*x+4.

Solved by pluggable solver: Linear System solver (using determinant)

Solve:

Any system of equations:

has solution

(x=1, y=1}

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