The length of a rectangular flower garden is twice the width of the garden. The two shorter sides and one of the longer sides have a 2-foot
wide walking path bordering the garden.
Part A
Create a function A, where A(x) represents the total area covered by the garden and the walking path given x represents the width of the
garden.
Drag and drop expressions to the empty boxes to correctly complete the function.
A(x) = (O
)(O
).
x
2x
x + 2
x +4
2x + 2
2x + 4
Part B
Select from the drop-down menus to correctly describe the function.
The function is
with a domain of all
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more detail

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form