A sphere with a circumference of 42" has the volume of what
1 answer:
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Step-by-step explanation:
The translations of the typical functions are
Where a is the vertical translation,
If a is greater than 1 or less than -1, we have a vertical stretch
If a is between -1 and 1 , we have a vertical compressions or shrink.
If a is negative, we have a negative reflection across the x axis.
If b is greater than 1 or less than -1, we have a horizontal compression or shrink
If b is between -1 and 1, we have a horizontal stretch
If b is negative, we have a reflection about the y axis,
If c is negative, we have a translation to the right c units
If c is positive, we have a translation to the left c units
If d is positive, we have a translation upward d units
If d is negative, we have a translation downward d units.
Here in this problem, our parent function is x^3.
So I would do the following transformations.
- Reflect about the x axis
- Vertical Shrink by a factor of 1/2
- Horizontal Shrink by a factor of 3
- Shift to the left 4 units
- Shift downward 8 units.
Given:
The inequality is:
To find:
The graph of the given inequality.
Solution:
We have,
Subtract both sides by 1.
Divide both sides by 3.
The value of t is less than or equal to .
Since , it means
is included in the solution, therefore there is a closed circle at
and an arrow approaches to left from
.
Therefore, the correct option is A.