The solution to the system of equation graphed is (-1, -3)
<h3>Solution to system of equation</h3>
Given the system of equations graphed on the plane expressed as:
f(x) = 3x
g(x) = 4x + 1
Equate
f(x) = g(x)
3x = 4x + 1
3x - 4x = 1
-x = 1
x = -1
Determine the value of y
y = 3x
y = 3(-1)
y = -3
Hence the solution to the system of equation graphed is (-1, -3)
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The base of the triangle is 6 - 2 = 4 units
The height is 6 - 1 = 5 units
Area = 1/2 x 4 x 5 = 10 square units
Answer:
The expression 
represents the radius of the soap dispenser.
The expression 
represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of 
, then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of that implies that the function of radius must have square as the exponent of , therefore, the expression will represent the radius of the soap dispenser and the expression 
represents the height of the soap dispenser.
The key word here is *square* in "square flower garden".
So we need to find the area of the flower garden, and subtract it from the overall area of the yard. The remainder will be how much grass covers the yard.
Area of the Square flower garden:
7.5 * 7.5 = 56.25
Area of the Entire yard:
25 * 18 = 450
450 - 56.25 = 393.75 square feet of grass
