Answer:
x < - 1
Step-by-step explanation:
Given
5x + 8 < 3(x + 2) ← distribute
5x + 8 < 3x + 6 ( subtract 3x from both sides )
2x + 8 < 6 ( subtract 8 from both sides )
2x < - 2 ( divide both sides by 2 )
x < - 1
Divide the distance by the speed. Therefore the answer is 6 hours.
Answer:
'Seven-eighths of 
is added to 12' can be represented algebraically as:
Step-by-step explanation:
Given:
Verbal phrase : 'Seven-eighths of is added to 12'
To write the verbal phrase into an algebraic expression.
Solution:
The verbal phrase 'Seven-eighths' means 7 parts out of 8 and tus can be represented as a fraction = 
'Seven-eighths of ' : The phrase represents the fractional part of variable .
Thus, we have : 
'Seven-eighths of is added to 12' can be represented algebraically as:
Multiply everything in the second parenthesis by x.
-3x^3 + 3x^2 + x
Multiply everything in the second parenthesis by 2.
-6x^2 + 6x + 2
Combine these two equations together.
-3x^3 + 3x^2 + x - 6x^2 + 6x + 2
Combine like terms.
-3x^3 - 3x^2 + 7x + 2
Hope this helps!
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Answer:
-7
Step-by-step explanation:
replace x by 3
-5^3+8
-15+8
=-7
