Toni stacks cube shaped beads that measure 1 centimeter on each edge in a storage box the box can hold six layers of 24 cubes wi
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Answer:
Fourth option
Step-by-step explanation:
When graphing the given inequalities you will get a region like the one shown in the attached image. This region is delimited by 4 straight
The points indicated at the ends of the region are the maximum possible values of x and y.
We must test these points in the objective function and see which point maximizes the value of P.
<em><u>Remember that the boundaries of the region are not included. </u></em>
We can prove the point <em>x = 0</em> and <em>y = 39</em> because (0,4) is not included in the region.
Now we test the point <em>x = 33</em> and <em>y = 16 </em>
Now we test the point <em>x = 44</em> and <em>y = 0</em>
Finally the optimal value is:
<em>x = 33 oz</em>
<em>y = 16 oz </em>
With a gain of $106
The square root of 20 is between 4 and 5.
<h3>Whole Numbers</h3>They are the numbers represented by positive real numbers where the fractions and decimal numbers are not included.
For solving this question, you should list the whole numbers whose your square is less than 30. Your list must present the following numbers:
0 ⇒ 0²=0
1 ⇒ 1²=1
2 ⇒ 2²=4
3 ⇒3²=9
4 ⇒ 4²=16
5 ⇒ 5²=25
Note that 6²=36, it is greater than 30,because of this it is not in the previous list.
The question asks to determine between which two whole numbers lies the square root of 20. Therefore, from the previous list, it is possible to see that the value 20 is between 16 and 25. The square root of 16 and 25 is equal to 4 and 5, respectively.
Thus, the square root of 20 is between 4 and 5. You can check this results in your calculator:
Learn more about the square root here:
Answer:
Step-by-step explanation:
See the comment for complete question.
Given
----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
and
Using the above roots, the equation can be represented as:
Open brackets
To compare the above equation to , we have:
Where: and
The values of and
that satisfy
are:
and
and
and
and
So, the possible values of a are:
When and
When and
When and
When and
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is: