6x + 45 + 3x = 180
9x - 45 = 180
9x = 135
x = 15
Answer:
2(7) = 14
Step-by-step explanation:
When there is a number in the brackets, we want to input that into our function and get the output. In other words, we simply substitute 7 for x
2(7) = 14
The statement is true. X= all real numbers
Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
Let's look at the formula to solve the perimeter.
2l+2w=98
We know that l=6w
Let's put that into the equation.
2(6w)+2w=98
12w+2w=98
14w=98
98÷14=7
So the width is 7. Let's find the length.
Since the length is six times the width: 7×6= 42
So, the length is 42 while the width is 7. We need to find the area.
42×7=294
The area is 294 m².
Tell me if this helps!!