First, choose variables to represent the length and width of this rectangle. Why not use L and W? Then the area is L*W=84 sq. in., and this equation could be solved for either L or W. If for L, then L=84/W.
The Perimeter of the rectangle is P = 2L + 2W. Substitute the above expression for L into this expression for P. Doing so eliminates L from your equation. Now consider graphing your equation for P(W). Does your graph show a minimum value? If so, at which W value?
Answer:
3/8 + 1/4 < 1
Check: Find common denominators, what you do to the denominator, you do to the numerator. Multiply 2 to both the top and bottom of the fraction:
(1/4)(2/2) = 2/8
3/8 + 2/8 < 1
5/8 < 1
5/8 < 8/8 (True).
Any fraction works in the second one, for regardless, you will get less than a whole number, so solve the third one first.
The 2 fractions needed will have to be greater than 1. 1/4 has already been used, so find two pairs of fractions that will, when added, be greater than 1.
(7/8 + 3/4)
Find common denominators, what you do to the denominator, you must do to the numerator:
(7/8)(2/2) + (3/4)(4/4) = (14/16) + (12/16) = 26/16
26/16 > 1 (True).
Finally, the last one will be 2/3.
2/3 - 1/8 < 1
Find common denominators, what you do to the denominator, you must do to the numerator:
(2/3)(8/8) - (1/8)(3/3) < 1
16/24 - 3/24 < 1
13/24 < 1 (True).
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Is there a picture? You just threw it all in a sentence. It works better with a pic
Answer:
h < -3
Step-by-step explanation:
2 < -19 -7h
or 19 + 2 < -7h
or 21 < -7h
or 21/(-7) > h [flip the sign when dividing with negative Number ]
∴ -3 > h ( h < -3 )
hoping that this will help you
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Answer:
(2x² + 5x + 2) = (2x + 1)(x +2)
Step-by-step explanation:
Given expression is (2x² + 5x + 2).
We have to factorize the given expression.
(2x²+ 5x + 2) = 2x² + 4x + x + 2
= 2x(x + 2) + 1(x + 2)
= (2x + 1)(x + 2)
So the factored form of the given expression will be (2x + 1)(x + 2).
