Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.
I hope this helps you understand the steps to get your answer...
Answer:

Step-by-step explanation:
let x be the numerator of the rational number then 2x is the denominator
original fraction = 
subtracting 3 from numerator and adding 7 to denominator , gives
=
( cross- multiply )
5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )
5x - 15 = 4x + 14 ( subtract 4x from both sides )
x - 15 = 14 ( add 15 to both sides )
x = 29
rational number = 
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4
Answer:
22 feet
Step-by-step explanation:
Given
- In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
- The actual length(L)=7 feet
To find the actual perimeter, we need the breadth of balcony(B)
The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth
⇒


Therefore Breadth actually=4 feet
⇒Perimeter

Therefore perimeter of rectangular balcony= 22 feet