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fredd [130]
3 years ago
11

Workers on the assembly line produce 4x+6 boats each day. Which expression shows how many boats they produce in 12 days?

Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer: 12(4x+6)

Step-by-step explanation:

This is correct. Trust me.

nirvana33 [79]3 years ago
4 0
12(4x+6)_______________
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Please help!!!
baherus [9]

Answer:

\huge  \colorbox{red}{  \rm (3x - 7)(x + 1)}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • factoring
  • PEMDAS
<h3>tips and formulas:</h3>
  • quadratic expression:ax²+bx+c

factoring quadratic:

  1. Find two numbers that multiply to give ac, and add to give b
  2. rewrite the middle with those numbers
  3. factor out common terms
  4. group
<h3>let's solve:</h3>

a is 3 and b is -7

\quad ac=3\times -7

therefore

\quad ac=-21

now we need to find two numbers that give -21

to do so we need to find the factors of 21

which are

\quad 1,3,7

likewise,

\quad -1,-3,-7

in this case we can take any two numbers from negative and positive factors that give us -21 and -4

3 and -7 are the two numbers that multiply to give -21 (3×-7=-21) and add to give -4. (3+(-7)=-4)

now let's factor:

  1. \sf rewrite \:  - 4x \: as \: 3x - 7x :  \\  \rm  {3 x}^{2} + 3x - 7x - 7
  2. \sf factor \: out \: 3x :  \\  \rm 3x(x + 1) - 7x - 7
  3. \sf factor \: out \:  - 7 :  \\  \rm 3x(x + 1) - 7(x + 1)
  4. \sf \quad group :  \\ \quad  \rm (3x - 7)(x + 1)

\text{And we are done!}

6 0
3 years ago
Read 2 more answers
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