Answers:
Lower bound = 41.3
Upper bound = 41.5
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Explanation:
49.15 is the smallest f can be while 49.24 is the largest it can be. Well technically we could have something like 49.2499 or 49.24999 and so on. We slowly approach 49.25 but never actually get there
So the variable f is between 49.15 and 49.25 inclusive of the first value but excluding the second value. We can write it as 
For similar reasoning, 
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If we wanted to subtract those variables and get the smallest result possible, then we need to pick values that are closest together. It might help to set up a number line.
This means we'd go for f = 49.15 and g = 7.85
The lower bound for f-g is f-g = 49.15-7.85 = 41.3
In contrast, the upper bound is when the two variables are spaced as far apart as possible. The upper bound is f-g = 49.25 - 7.75 = 41.5
Both A and B are multiples of 5. So, I don't really understand but its either those two choices.
Sorry this doesn't really help much :/
Answer:D. 10
Step-by-step explanation:
Shana drew 48 times and pulled a green marble 8 times, so the fraction of green marbles in the bag is about 8/48. Multiply that by the total number of marbles in the bag and you get the total number of green marbles in the bag.
Answers: choice C) -4
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Explanation:
There are two basic ways to find the slope.
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The first way is where we use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,8) and (x2,y2) = (2,-4)
Plug the coordinate of those points into the slope formula, then simplify
m = (y2-y1)/(x2-x1)
m = (-4-8)/(2-(-1))
m = (-4-8)/(2+1)
m = (-12)/(3)
m = -4
The slope is -4
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The second way is to use a more visually oriented approach.
Start at (-1,8).
Draw a straight vertical line through this point. Then move to the point (2,-4) and draw a completely flat horizontal line through this point.
Mark the intersection between these two lines (vertical and horizontal) as point A
Now go back to (-1,8). Count the number of spaces you must move down to go from (-1,8) to point A. You should count out 12 spaces. This is the run, which in this case is negative since we're going downhill as we move from left to right
Then count 3 spaces to go from point A to (2,-4). This is the run
Rise = -12
Run = 3
Slope = Rise/Run = -12/3 = -4
As you can probably see, this effectively mirrors some parts of the slope formula above
No matter which method you use, the slope is -4
-4 is the same as -4/1
A slope of -4/1 means we go down 4 units and then move to the right 1 unit
So that means rise/run = -12/3 is the same as saying rise/run = -4/1
Answer:
y = 72
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 12 when x = 4 and z = 3
12 = k × 4 × 3 = 12k ( divide both sides by 12 )
1 = k
y = xz ← equation of variation
When x = 9 and z = 8 , then
y = 9 × 8 = 72
