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anonymous
 one year ago
If g(x) = 2x2 + bx + 5 and g(1) = 4, what is the value of g(1)?
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anonymous
 one year ago
If g(x) = 2x2 + bx + 5 and g(1) = 4, what is the value of g(1)? 1 2 3 7 10

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle g(x)=2x^2+bx+5 }\) correct?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Your given that \(\large\color{red}{ \color{black}{g(}1\color{black}{)=}\color{blue}{4} }\), so lets apply this. \(\large\color{black}{ \displaystyle g(x)=2x^2+bx+5 }\) for any function g(x)=function with x's. when you do g(1), every single x is replaced by a 1. This gets us: \(\large\color{black}{ \displaystyle g(\color{red}{1})=2(\color{red}{1})^2+b(\color{red}{1})+5 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Now, we know that \(\large\color{red}{ \color{black}{g(}1\color{black}{)=}\color{blue}{4} }\) So, we can substitute 4 instead of g(1), the following way: \(\large\color{black}{ \displaystyle \color{blue}{4}=2(\color{red}{1})^2+b(\color{red}{1})+5 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1All you need to do know is to simplify and solve for b:)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i still need help sir solving for b @SolomonZelman

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle \color{blue}{4}=2(\color{red}{1})^2+b(\color{red}{1})+5 }\) ok, what is `2(1)²` equal to?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1So lets write that \(\large\color{black}{ \displaystyle \color{blue}{4}=2+b(\color{red}{1})+5 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1b(1) is b•1, and that is just b. Right?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle \color{blue}{4}=2+b+5 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1can you solve this, or need a little more help?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need a little more help please

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle \color{blue}{4}=2+b+5 }\) \(\large\color{black}{ \displaystyle \color{blue}{4}=7+b }\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but do we not consider the b to be a imaginary 1 ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1lol, it seems as though you are having a bad day right now...

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.14=7+b ust subtract 7 from both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol no sir i just want to understand it fully

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle 4=7+b }\) \(\large\color{black}{ \displaystyle 4\color{magenta}{7}=7+b \color{magenta}{7} }\) \(\large\color{black}{ \displaystyle 4\color{magenta}{7}=\cancel{7}+b \cancel{\color{magenta}{7}} }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1not exactly, but close...

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1b can be negative too:)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but my answer choices are not negative

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1then they are wrong, because the answer is 3.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Oh, we are not done yet....

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1the answer choices are for g(1)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1and 3 that we found just now is the value of b

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Now we know our function entirely. g(x) = 2x²  3x + 5

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1And now find g(1), by plugging 1 instead of x.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1g(x) = 2x²  3x + 5 g(1) = 2(1)²  3(1) + 5=?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think it is 10 sir

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1g(1) = 2(1)²  3(1) + 5 g(1) = 2   3 + 5 g(1) = 2 + 3 + 5 g(1) = 10

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much you are awesome :)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1You are welcome!
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