I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
Answer:
A
Step-by-step explanation:
Consider the parent function
The graph of this function is represented as red graph in attached diagram.
Now consider the function 
Remind main translations of the graph of the function
- translation a units to the right;
- translation a units to the left;
- translation a units up;
- translation a units down.
In your case, the graph of the function
is translated graph of the function
2 units to the left (blue graph). So, correct answer is option A.
Your answer would be b i'm pretty sure
Answer:
Step-by-step explanation:
y intercept is -6
the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6
the slope is positive
Some plots you can put are (6, 2) and (12, 10)
Just start at (0, -6) and counts 4 up and 3 right