Expand and fully simplify 3(x + 1) + 2(3x + 4)
1 answer:
Answer:
Step-by-step explanation:
<u>Given:</u>
Isolate the term of x from one side of the equation.
Use the distributive property.
<u>DISTRIBUTIVE PROPERTY:</u>
Each term within the parentheses can be multiplied by a factor outside the parentheses.
3(x+1)
3*x=3x
3*1=3
<u>Rewrite the expression down.</u>
3x+3
3x+3+2(3x+4)
<u>Multiply expand.</u>
2(3x+4)
2*3x=6x
2*4=8
6x+8
3x+3+6x+8
<u>Combine like terms.</u>
3x+6x+3+8
<u>Add the numbers from left to right.</u>
3+8=11
3x+6x+11
<u>Add.</u>
<u>Solutions:</u>
3x+6x=9x
- <u>Therefore, the final answer is 9x+11.</u>
I hope this helps. Let me know if you have any questions.
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Answer:
35/3
Step-by-step explanation:
Simplify to get
9x+14=3(4x-7)
35=3x
x=35/3 or 11.66
Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = ± - 2
= ± 2 - 2
Hence
x = 2 - 2 → B
x = - 2 - 2 → F
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Step-by-step explanation:
Given : The average summer vacation costs $2252.
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