Domain: (-∞,∞) or All real numbers
Range: (-∞,∞) or All real numbers
Answer:
44
Step-by-step explanation:
the mode of a set of data is the value that occurs most often, in this case it is 44
To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
Answer:
<em>A stack of 4 trillion one dollar bills will be 
meters.</em>
Step-by-step explanation:
The annual expenditure of the US federal government is approximately 4 trillion dollars.
We know, 1 trillion dollars = 10¹² dollars.
So, 4 trillion dollars 
dollars.
Each one dollar bill is 0.0001 meters thick.
So, the total height of the stack of 4 trillion one dollar bills will be.....
![[0.0001\times(4\times 10^1^2)]meters\\ \\ =[10^-^4\times(4\times 10^1^2)]meters\\ \\ =(4\times 10^8) meters](https://tex.z-dn.net/?f=%5B0.0001%5Ctimes%284%5Ctimes%2010%5E1%5E2%29%5Dmeters%5C%5C%20%5C%5C%20%3D%5B10%5E-%5E4%5Ctimes%284%5Ctimes%2010%5E1%5E2%29%5Dmeters%5C%5C%20%5C%5C%20%3D%284%5Ctimes%2010%5E8%29%20meters)
Y is greater than or equal to 5. It says no less than, making the equal to possible.
