-27x - 60 > 15x - 20
+27x +20 +27x +20
-40= 42x
-20
----- = x Is this correct?
21
The equation is in the form of the linear line: y = mx +b where m is the slope.
Thus the slope is 1/6
Hope that helps!
Answer is A
Just make sure you do know how to do them :)
Answer:
![\text{Domain of x}=[1,\infty), x \in Z^+](https://tex.z-dn.net/?f=%5Ctext%7BDomain%20of%20x%7D%3D%5B1%2C%5Cinfty%29%2C%20x%20%5Cin%20Z%5E%2B)
Step-by-step explanation:
Given the function: ![f(x)=\dfrac{280}{x},$ where:](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B280%7D%7Bx%7D%2C%24%20where%3A)
f(x) =number of days it would take to complete the project
x =number of full-time workers.
![\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days](https://tex.z-dn.net/?f=%5Ctext%7BWhen%20x%3D0%2C%20%7Df%28x%29%3D%5Cdfrac%7B280%7D%7B0%7D%3D%24Undetermined%5C%5C%5Ctext%7BWhen%20x%3D1%2C%20%7Df%28x%29%3D%5Cdfrac%7B280%7D%7B1%7D%3D%24280%20days%5C%5C%5Ctext%7BWhen%20x%3D280%2C%20%7Df%28x%29%3D%5Cdfrac%7B280%7D%7B280%7D%3D%241%20day%5C%5C%5Ctext%7BWhen%20x%3D560%2C%20%7Df%28x%29%3D%5Cdfrac%7B280%7D%7B560%7D%3D%240.5%20days)
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).
![\text{Domain of x}=[1,\infty), x \in Z^+](https://tex.z-dn.net/?f=%5Ctext%7BDomain%20of%20x%7D%3D%5B1%2C%5Cinfty%29%2C%20x%20%5Cin%20Z%5E%2B)