Answer:
See below.
Step-by-step explanation:
a.
Divide the leading terms:
6x^4 / 2x^2 = 3x^2
3x2 is a parabola so the long run is
as x ---> +/- infinity r(x) ----> + infinity. (answer).
b.
10,000x^3 / 50 x^3
= 200.
So r(x) as a horizontal asymptote at y ( r(x)) = 200. (answer).
The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.
The inequality that represents this scenario is:
From the complete question, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is as follows:
Initial Fee + Rate * Number of stops <= Amount
We use <= because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
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Answer:
C. Multiplication
Step-by-Step Explanation:
This problem is testing your knowledge of the Order of Operations. Here is the correct order:
Exponents (inside parenthesis)- There are no exponents for you to solve in this expression, so just ignore this step for now. (example: (4 + 2²) --> (4 + 4))
Parenthesis (from left to right)- In this case, you would solve the expressions inside the parenthesis <em>first</em> because there are no exponents.
Multiplication and Division (from left to right outside of parenthesis)- After solving the expressions inside the parenthesis, there will be one multiplication you need to solve next.
Addition and Subtraction (from left to right outside of parenthesis)- The only operation left for you to do now is addition. You can either do this in one whole step, or you can divide it into two steps. I've done it in two to keep it simple.
Here is the problem worked out in steps in case you are confused:
Step 1: Parenthesis
(-8 ÷ 4) + 5 + 4(3 - 6)
(-2) + 5 + 4(-3)
Step 2: Multiplication
-2 + 5 + 4(-3)
-2 + 5 + (-12)
Step 3: Addition
-2 + 5 + (-12)
3 + (-12)
-9
(Note: '3 + (-12)' could also be written as '3 - 12', making it a subtraction instead of an addition)
Hope this helps!
Since the prism completely filled with 2304 cubs
Since the edge of the cube is 1/4 cm
Since the volume of the cube = edge x edge x edge
Then find the volume of 1 cube, then multiply it by the number of cubes to find the volume of the prism
Multiply it by 2304
The volume of the prism is 36 cm^3
Answer:
The length of the third side is both more than six and less than 14
Step-by-step explanation:
