Answer:
3
Step-by-step explanation:
slopes in parallel are equal
 
        
             
        
        
        
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8  because the minimum is -8. 
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
 
        
             
        
        
        
Answer:
The <em>required probability</em> is  .
.
Step-by-step explanation:
Let <em>A </em>be the event of rolling the number cube.
Let <em>B</em> be the event of tossing the coin.
Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.

where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.
Formula for probability of an event <em>E</em> is:

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.
Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.

 
        
             
        
        
        
Answer:
720 ways to arrange
Step-by-step explanation:
Use the factorial of 6 to find this solution.  Namely, 6!
This means 6*5*4*3*2*1 which equals 720
It seems like a huge number, right?  But think of it like this:  For the first option, you have 6 collars.  After you fill the first spot with one of the 6, you have 5 left that will fill the second spot.  After the first 2 spots are filled and you used 2 of the 6 collars, there are 4 possibilities that can fill the next spot, etc. 
 
        
                    
             
        
        
        
They would each be about 0.6875 pounds or 11 ounces.