The volume of a cylinder is given by
Let 
and 
The new volume becomes
So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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Answer:
500g Jelly beans $9.90
Step-by-step explanation:
To know the values.
Let's know how much a gram will cost in each case
300g Jelly beans $5.80
1g = 5.8/300
1 g = 0.01933
500g Jelly beans $9.90
1g = 9.9/500
1g =0.0198
It's obvious that the second one has more value placed on it as it cost more per gram
If there are 27 students in the class and they have to form as many groups of 4 as possible, you can calculate this using the following step:
27 / 4 = 6.75 = 6 3/4
Result: 27 students can form 6 groups of 4 students and 3 students have to form their own group.
