Answer:
answer in picture
Step-by-step explanation:
Answer:
The length of the garden=14 feet
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the garden</em>
length of the garden=x feet
width of the garden=(x-4) feet
<em>Step 2: Determine the area of the garden</em>
Area of the garden=length×width
where;
area=140
length=x
width=x-4
replacing'
x(x-4)=140
x²-4x-140=0, solve the quadratic equation;
x={-b±√(b²-4ac)}/2a
x={4±√4²-4×1×-140}/2×1
x={4±√(16+560)}/2
x={4±√576}/2
x=(4±24)/2
x=(4+24)/2=14, or (4-24)/2=-10, take x=14
The length=14 feet, width=(14-4)=10 feet
The length of the garden=14 feet
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2(3x - 1) ≥ 4x - 6 | Starting equation
6x - 2 ≥ 4x - 6 | Distribute the 2
2x - 2 ≥ -6 | Subtract 4x from each side
2x ≥ -4 | Add -2 to each side
x ≥ -2 | Divide both sides by 2
So, x must be greater or equal to -2 to be in the solution set.
