Answer:
A. (0, 5)
Step-by-step explanation:
Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:
(1)
(2)
(3)
From (1), (2), (3) we find that:
(1):
![h > 0](https://tex.z-dn.net/?f=h%20%3E%200)
(2):
![16 > 2\cdot h](https://tex.z-dn.net/?f=16%20%3E%202%5Ccdot%20h)
![8 > h](https://tex.z-dn.net/?f=8%20%3E%20h)
![h < 8](https://tex.z-dn.net/?f=h%20%3C%208)
(3):
![10 > 2\cdot h](https://tex.z-dn.net/?f=10%20%3E%202%5Ccdot%20h)
![5 > h](https://tex.z-dn.net/?f=5%20%3E%20h)
![h < 5](https://tex.z-dn.net/?f=h%20%3C%205)
We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:
![h > 0 \,\land\,h < 5\,\land\,h< 8](https://tex.z-dn.net/?f=h%20%3E%200%20%5C%2C%5Cland%5C%2Ch%20%3C%205%5C%2C%5Cland%5C%2Ch%3C%208)
![0< h < 5](https://tex.z-dn.net/?f=0%3C%20h%20%3C%205)
In other words, the reasonable domain for this situation is A.
Answer:
Below
Step-by-step explanation:
If d is a positive number then the greatest common factor is 108d.
To get it isolate d and d^2 from the numbers.
108 divides 216. (216 = 2×108)
Then the greatest common factor of 216 and 108 is 108.
For d^2 and d we will follow the same strategy
d divides d^2 (d^2 = d*d)
Then the greatest common factor of them is d.
So the greatest common factor will be 108d if and only if d is positive. If not then 108 is the answer
Answer:
His Debit Card
Step-by-step explanation:
Because whenever i go to the story with adults they are most likely to use there debit card. Or they do use there debit card
<em><u>True staments are:</u></em>
The y-variable will be eliminated when adding the system of equations
There is only one solution to the system of equations
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + 6y = 16 ----- eqn 1
8x - 6y = -2 ---- eqn 2
We have to solve the system of equations
When we add eqn 1 and eqn 2, then y term will get eliminated
Let us add eqn 1 and eqn 2
x + 6y + 8x - 6y = 16 - 2
6y and -6y will get eliminated
Thus, y-variable will be eliminated when adding the system of equations
x + 8x = 14
9x = 14
x = 1.55
Substitute x = 1.55 in eqn 1
1.55 + 6y = 16
6y = 16 - 1.55
6y = 14.45
y = 2.408
Thus the solution is x = 1.55 and y = 2.408
There is only one solution to the system of equations
I'm not sure if I will be correct but, I hope this helps.
A. 10^2
B. 10^6
c. 10^9
D. 10^15
*^ means the exponent *