Answer:
There are 12 possible outcomes.
Step-by-step explanation:
For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.
 
        
             
        
        
        
Answer:
Translation 
Step-by-step explanation:
To keep a shape congruent or the same then you can Translate or to slide the shape not to change any sides.
 
        
             
        
        
        
Just download the photomath app it will solve it for u !
        
             
        
        
        
So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little. 
The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d
a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1. 
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.
The range (y-values) is then just the amplitude -2 ≤ y ≤ 2 
The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions. 
2π / |b| = period, distance per wave 
this equation b = 4 
period is then π/2 
this is the distance before a wave repeats. 
Graph
     x  |  y 
-π/8    -2
    0      0
  π/8    2
3π/8   -2 
5π/8    2 
see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2  then using the x-distance between like points is the period so you add π/2 
(π/8 , 2)  
+ π/2 
(5π/8 , 2) 
Same for the minumums of the wave (y = -2) 
(-π/8 , -2) 
+ π/2 
(3π/8 , -2) 
Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com
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Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
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Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)