First we have to rewrite this function.Instead of :^3 sqrt (...) we can write : (...)^(1/3).
f ( x ) = ( 27 x - 81 ) ^(1/3) - 5 = ( 27 * ( x - 3 ) ) ^(1/3) - 5 = = 3 * ( x - 3 )^(1/3) - 5 And this makes it easy to graph a translation.The parent function is y = x^(1/3). The zero of this function is ( 0, 0 ).
Then it will be stretched vertically by a factor of 2 and translated: 3 units right and 5 units down.
The answer for the question shown above is the first option, which is:
- Direct.
The explanation is shown below:
1. The problem says that <span>The number of tons of coal varies as the number of hours.
2. Therefore, you can write the following equation:
number of tons:x
number of hours:y
x=ky
Where k is the constant of variation.
3. Therere the variation is direct.</span>
Answer:
<em>Domain={2,5,8}</em>
<em>Range={1,3,6}</em>
<em>Function: YES</em>
Step-by-step explanation:
<u>The Domain of a Function
</u>
Is the set of values the input variable x takes.
<u>Range of a Function
</u>
It's the set of values the output function takes when x moves into the function's domain.
A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.
Following the definitions above, the domain of the relationship is the set of input values:
Domain={2,5,8}
The range is the set of output values:
Range={1,3,6}
Since each element in the input set is related only to one element in the range, the given relationship is a function.
Answers:
Domain={2,5,8}
Range={1,3,6}
Function: YES
The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base
inches,
The width of the base
inches, and
The height of the exhibit
inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;

By substituting the values, we get

The surface area of the exhibit is 1,638 cubic inches.
Answer:
A. 9.18 x 
B.12002
Step-by-step explanation: