<span>Simplify both sides of the inequality.
x-5>25
</span><span> Add 5 to both sides.
</span>
x-5+5>25+5
x>30
Answer:
The equipment will cost $1740.
Step-by-step explanation:
Let the Cost of equipment, furniture and decoration be x, y and z.
Now, According to question,
x + y + z = 3600 ...... (1) (cost of all items)
x = 500 + y (∵ equipment cost 500 more than furniture)
and y = 2z ( ∵ furniture twice as much as decoration)
so, z = y/2
Now substituting the value of x and z in eq (1)





So, the cost of furniture (y) = 1240
∴ Cost of equipment = y + 500 = 1240 + 500 = 1740
Therefore the cost of equipment was $1740.
Answer:
Problematic x is x = 1
Step-by-step explanation:
Equation:
xy= 2x + y + 1
xy - y = 2x + 1
y(x-1) = 2x + 1
y = (2x+1)/(x-1)
The problematic x is such that when the denominator of the function is 0
x - 1 = 0
x = 1 (the problematic x)
So the domain of f is: x is the subset of R (real number) with the exception of x =/ 1 (x not equal to 1)
To prove this, we can plot the graph and in the graph we can see that as the value of x approaches from negative values to 1, y value will approaches negative infinity, and as the value of x approaches from large positive numbers, y value approaches infinity.
In other words, we'll see an assymptote at x=1
To prove that it is a function, we can do vertical line test by drawing vertical lines accross the graph. We'll see that each line crosses the equation line once hence proving the equation as a function
D the last one because it simplify by y^3/x^18