Asked by Mallory Sheets on May 14, 2024
Verified
Simplify and collect like terms: x5+25−0.7x2−35x+34\frac{x}{5}+\frac{2}{5}-0.7 x^{2}-\frac{3}{5} x+\frac{3}{4}5x+52−0.7x2−53x+43
A) -0.7x2 - .4x + 1.15
B) 0.7x2 - .4x + 1.15
C) -0.7x2 - .4x + .35
D) 0.7x2 - .4x + .35
E) -0.7x2 + .8x + 1.15
Collect Like Terms
The process in algebra of combining terms that have the same variables raised to the same power.
Simplify
To reduce a complex subject or issue to its most basic components or form.
- Acquire proficiency in reducing algebraic expressions by aggregating similar terms.
Verified Answer
JM
Javeria MalickMay 18, 2024
Final Answer :
A
Explanation :
The given expression simplifies to -0.7x^2 - 0.4x + 1.15 by combining like terms: x5−35x=−25x=−0.4x\frac{x}{5} - \frac{3}{5}x = -\frac{2}{5}x = -0.4x5x−53x=−52x=−0.4x , 25+34=820+1520=2320=1.15\frac{2}{5} + \frac{3}{4} = \frac{8}{20} + \frac{15}{20} = \frac{23}{20} = 1.1552+43=208+2015=2023=1.15 , and the x2x^2x2 term remains unchanged.
Learning Objectives
- Acquire proficiency in reducing algebraic expressions by aggregating similar terms.