The correct answer is: [D]: " 4x² − 12x − 4 " .
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Explanation:
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Given:
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" (16x² − 16) + ( -12x² − 12x + 12) " ; Simplify.
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Note the "distributive property of multiplication:
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a(b + c) = ab + ac ;
a(b − c) = ab − ac .
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So we can rewrite the expression as:
" (16x² − 16) + 1( -12x² − 12x + 12) " ;
{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Let us examine the following part of the expression:
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" + 1 ( -12x² − 12x + 12 ) " ;
Using the distributive property of multiplication:
" + 1 ( -12x² − 12x + 12 ) = (1 * -12x²) − (1 * 12x) + (1 * 12) ;
= " − 12x² − 12x + 12 " ;
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Now, bring down the other part of the expression; & rewrite:
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→ " (16x² − 16) − 12x² − 12x + 12 " ;
→ " 16x² − 16 − 12x² − 12x + 12 " ;
Now, combine the "like terms" :
+ 16x² − 12x² = 4x² ;
− 16 + 12 = -4 ;
and we have " − 12x" ;
So we can rewrite the expression as:
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→ " 4x² − 12x − 4 " ;
→ which is: "Answer choice: [D]: " 4x² − 12x − 4 <span>" .
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Answer:
More than 7
Step-by-step explanation:
Given that:
Joshua's goal is to sell more than 20 items at a farmer's market.
Number of items already sold = 6
So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14
Given that each customer buys 2 items.
Let 
be the number of customers.
So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = 
And as per the question statement,
Number of more items to be sold > 14 (as calculated in above step)
Therefore, the answer is: <em>More than 7 additional customers are required</em>.
Answer:
the width is 7 inches
Step-by-step explanation:
A = l * w
14 = 2 * w
what does w equal?
14 / 2 = 7
2 * w / 2 = w
7 = w
The best angle relationship that describes angles BAC and EAF is supplementary angles
The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.
If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;
m<BAE + m<FAC = 180degrees
Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles
Learn more here: brainly.com/question/22309882
