SOLUTION: Page 210 Problem 44.g(10) Question; Let g(x)= -x squared + 4x+1.

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Question 34496This question is from textbook College algebra
: Page 210 Problem 44.g(10)
Question; Let g(x)= -x squared + 4x+1.
This question is from textbook College algebra

Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
So, you want g(10).
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: -x%5E2%2B4x%2B1 simplifies to -59
  • Text form: -x^2+4x+1 simplifies to -59
  • Cartoon (animation) form: simplify_cartoon%28+-x%5E2%2B4x%2B1+%29
    For tutors: simplify_cartoon( -x^2+4x+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -highlight_red%28+x+%29%5E2%2B4%2Ax%2B1.
Replaced x with 10
It becomes -highlight_green%28+10+%29%5E2%2B4%2Ax%2B1.

Look at -highlight_red%28+10+%29%5Ehighlight_red%28+2+%29%2B4%2Ax%2B1.
Replace constants in factor: highlight_red%28+10+%29,highlight_red%28+2+%29 with highlight_green%28+100+%29
It becomes -highlight_green%28+100+%29%2B4%2Ax%2B1.

Look at -100%2B4%2Ahighlight_red%28+x+%29%2B1.
Replaced x with 10
It becomes -100%2B4%2Ahighlight_green%28+10+%29%2B1.

Look at -highlight_red%28+100+%29%2B4%2A10%2Bhighlight_red%28+1+%29.
Added fractions or integers together
It becomes highlight_green%28+-99+%29%2B4%2A10.

Look at highlight_red%28+-99+%29%2B4%2A10.
Removed extra sign in front of -99
It becomes -highlight_green%28+99+%29%2B4%2A10.

Look at -99%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+10+%29.
Multiplied numerator integers
It becomes -99%2Bhighlight_green%28+40+%29.

Look at -highlight_red%28+99+%29%2Bhighlight_red%28+40+%29.
Added fractions or integers together
It becomes highlight_green%28+-59+%29.

Look at highlight_red%28+-59+%29.
Removed extra sign in front of -59
It becomes -highlight_green%28+59+%29.
Result: -59

Universal Simplifier and Solver


Done!


Hope this helps,
lyra