The answer is B. Your welcome
3x+4y=12
4y=12-3x
y=(12-3x)/4 <---------- This is f(x)
---------------------
3x+4y=12
3x=12-4y
x=(12-4y)/3
Therefore:
f⁻¹(x)=(12-4x)/3
=[4(3-x)]/3
Answer:
The volume of the container is = 8138.88 cubic centimeters
Radius of the cone = 4 cm
Height of the cone = 9 cm
Volume of the cone =
So putting the values as pi=3.14 , r=4 and h=9 we get
= 150.72 cubic cm
So, the number of times the cone can be filled is =
The number of times is = 54.
Step-by-step explanation:
54 is your answer
Answer:
Yes, "y" varies directly with "x".
The equation is: 
Step-by-step explanation:
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
If you solve for "k", the equation is:
Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":
- Dividing 
by 
you get:
- Divide 
by 
:
- Dividing 
by 
:
Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:
Therefore, the equation for the Direct variation is:
<em>Answer:</em>
<em>In my opinion the answer would be 520x.</em>
<em>Step-by-step explanation:</em>
<em>Let x be the price of wallpaper per square feet.
</em>
<em>Dimensions of a kitchen are:
</em>
<em>width: w = 12 ft
</em>
<em>length: l = 14 ft
</em>
<em>height: h = 10 ft
</em>
<em>
</em>
<em>If you need to put wallpaper in the room, you will put it only on the walls. There are 4 walls in the kitchen: two walls which dimensions are 12 ft and 10 ft, and two walls which dimensions are 14 ft and 10 ft. Since walls are of rectangular shape, we will use the following formula for the area of walls:
</em>
<em>A = 2 * w * h + 2 * l * h
</em>
<em>A = 2 * 12 * 10 + 2 * 14 * 10
</em>
<em>A = 240 + 280
</em>
<em>A = 520 ft²
</em>
<em>
</em>
<em>So, if 1 square foot costs x, 520 square feet will cost </em><em><u>520x</u></em>
