Answer:
x = 2/3
Step-by-step explanation:
9x2−12x+4=0
Step 1: Factor left side of equation.
(3x−2)(3x−2)=0
Step 2: Set factors equal to 0.
3x−2=0 or 3x−2=0
x= 2
/3
Yep! Good job, you did it correctly.
Your y-intercept is equal to the constant of the equation (y-int = -2). Your movement/direction (or rise over run) is equal to the variable. Since your variable is x (which can also be written as 1x) means you move up one and over one (rise over run). This is because 1/1 is equal to 1.
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?
A) stretched vertically, shifted left 2 units, and shifted down 4 units
B) stretched vertically, shifted right 2 units, and shifted up 4 units
C) compressed vertically, shifted left 2 units, and shifted down 4 units
Eliminate
D) compressed vertically, shifted right 2 units, and shifted up 4 units
Answer:
percentage of the total capacity is 75.6%
Step-by-step explanation:
Hello! To solve this problem we follow the following steps
1. draw the complete scheme of the problem (see attached image)
2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)


3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians


4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

Aw=At-Ac=153.93-37.57=116.36ft^2
5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

percentage of the total capacity is 75.6%