Answer: A, x = square root of 60.
Step-by-step explanation:
Use the Pythagorean Theorem, a^2 + b^2 = c^2.
8^2 = 2^2 + x^2
x^2 = 8^2 - 2^2
x^2 = 64 - 4
x^2 = 60
x = sqrt of 60
If n is used as the initial amount of liquid in both A and B:
4(n-120) = n+120
4n-480 = n+120
3n = 600
n = 200
Each container originally held 200ml. Container A now has 80ml and Container B has 320ml
Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
Answer:
- f^-1(x) = (3/8)(x +1) . . . . as written
- f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses
Step-by-step explanation:
The inverse function can be found by solving for y:
x = f(y)
x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations
x+1 = 8/3y . . . . . . . . . . add 1
(3/8)(x +1) = y . . . . . . . . multiply by 3/8
f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written
_____
Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.
x = (y +5)/(3y -1)
x(3y -1) = y +5
3xy -x = y +5 . . . . . eliminate parentheses
3xy -y = x + 5 . . . . . add x-y
y(3x -1) = x +5 . . . . . factor out y
y = (x +5)/(3x -1) . . . divide by the coefficient of y
f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function
Answer:
20 tea bags
Step-by-step explanation:
if 5 is 1 gallon then you do 5x4=20
