Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
Going from top to bottom.
The first graph is labeled x≤−5.
The second graph is labeled x>5.
The third graph is labeled x≥−5.
The fourth graph is labeled x>5.
You can find All of these by graphing each inequality.
Answer:
A complete graph is 100 or over
Step-by-step explanation:
hope this helps G
Answer:
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Step-by-step explanation:
firstly we make two steps to simplify this question.
1st step: simplify 
to simplify this we use factorization
.....(1)
2nd step:simplify 
.....(2)
now dividing (1) and (2), we get the answer
The correct product of (6x+2)2 = 36x2 + 24x + 4
This is how to get this:
The equation is (a+b)2 = (a+b) (a+b). So, when you apply this to your equation, you get this:
(6x+2)2 = (6x+2) (6x+2) = 36x2 + 12x + 12x + 4 = 36x2 + 24x + 4
