Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and 
Step-by-step explanation:
Data provided in the question
f(x) = e^2x - 4
Now
to find the inverse let
So,
y = e^2x - 4
Now
Replace x and y
Therefore
x = e^2y - 4
Now compute the value of y
So,
x + 4 = e^2y
Now take ln on both sides:
The equation is
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
y = ln(x+4) ÷ 2
Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and
It would be:
-.72 < -5/8 < -.6 < -7/12
<span>ratio 3:7
Zoe received £24 (3 x 8 = 24)
</span>Hannah 7 x 8 = £56
Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
Answer:
The correct option is (B).
Step-by-step explanation:
The length of the diagonal of a rectangle is 
inches.
Compute the value of inches as follows:
The number 181 is not a square of a whole number.
So, the square root of 181 must lie between two whole numbers.
Consider the following squares:
It is quite clear that the 181 lies between the square of 13 and 14.
So, it can be said that the square root of 181 is between the square of 13 and 14.
Thus, the length of the diagonal of a rectangle is between 13 and 14 inches.
The correct option is (B).
