Answer:
goes into the box
Step-by-step explanation:
Let the number be 
, then
We now use the following property of exponents to simplify the left hand side of the equation.
This implies that;
Since the bases are the same, we equate the exponents to get;
We now multiply both sides by 3 to get;
Therefore the number that goes into the box is
Question:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.
What is the solution set of this problem?
Answer:
Step-by-step explanation:
Given
<em>Represent the number with x</em>
So:
Required
Determine the solution set
Open Both Brackets
Collect Like Terms
Multiply both sides by -1
Hence, the solution set is
For this problem you need to understand that a linear graph is a straight line (Remember Rise/Run).
A continous function is <span>a </span>continuous function<span> is a </span>function <span>for which sufficiently small changes in the input result in arbitrarily small changes in the output, so we can already cross off that as an answer.
The Y-Intercept is the cost (in dollars), so this would be to monthly fee.
Now, onto the rate of change. T</span>he rate of change is <span>represented by the slope of a line. So the more classes you take the more it will increase. Therefore the cost for one class is the rate of change.
Lastly, the cost for one class is $10. It's not, since $10 is the intial fee to belong to a gym, so this is false.
Recap:
True
-The relationship is linear
-The y-intercept represents the monthly fee.
-The rate of change represents the cost for one class.
False
-The relationship represents a continuous function.
-The cost for one class is $10.
I hope I've helped you, have a great day!</span>
Exact form: 89/3
Decimal form:29.666666.....
Mixed number: 29 2/3
