Answer:
Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7
Step-by-step explanation:
Answer:
D. 5
Step-by-step explanation:
The congruence of S'T' with ST tells you ...
9 = x +7
2 = x
The congruence of S'U' and SU tells you ...
4x = y +3
4·2 -3 = y = 5 . . . . substitute the value of x; subtract 3
The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The distance traveled by passenger train = 245 miles
The distance traveled by freight train = 245 miles
The time takes for both trains is the same.
Let's suppose the rate of the passenger train is x and the rate of the freight train is y;
As we know,
Distance = speed×time
245/x = 200/y
200x = 245y
200x - 245y = 0 ..(1)
x = 15 + y ..(2)
Equations (1) and (2) represent the situation.
After solving equations (1) and (2):

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
Learn more about the linear equation here:
brainly.com/question/11897796
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Solving this involves substitution of values into the given formula and applying basic arithmetic.
<u>Weight of Car is 2.1 tons</u>
We are told that the dimensions of the rectangle are 7in and 5in.
Formula for area of a rectangle is;
A = Length x breadth
Thus;
A = 7 × 5
A = 35 in²
We are also given;
Air pressure; P = 30 psi
A car has 4 tires and so;
Number of tire; N = 4
We are told that formula for weight of the car in ton is;
W = APN/2000
Plugging in the relevant values;
W = (35 × 30 × 4)/2000
W = 2.1 tons
Read more at; brainly.com/question/2926797