Answer:
x² - 2x - 2
By Completing the Square....
x² - 2x + 1² - 2 - 1²
(x - 1)² - 3 .....
Hope it helps.
Answer:
The time t is the independent variable while the volume V is the dependent variable
Step-by-step explanation:
A variable is a parameter that changes.
We have two types namely dependent and independent variables.
A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.
In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.
The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.
So V is proportional to t
Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.
Answer:
x ≈ 14.87
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 10² + 11² = 100 + 121 = 221 ( take the square root of both sides )
x =
≈ 14.87 ( to the nearest hundredth )
The exact cost is $23.75 for the show, and the exact change they should get is $1.25.
An adult ticket to the show costs $5.50
A student ticket to the show costs $4.25.
A family buys two adult tickets and three student tickets. This would imply that the total cost of two adult tickets would be
⇒ 2 × 5.5 = $11
It also implies that the total cost of three student tickets is
3 × 4.25 = $12.75
The total cost of two adult tickets and three student tickets is
⇒ 11 + 12.75 = $23.75
If the family pays $25, the exact change they should get is
⇒ 25 - 23.75 = $1.25
Thus, the exact cost is $23.75 for the show, and the exact change they should get is $1.25.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
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Answer: y = 5x - 5
Step-by-step explanation: