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Mathematics 15 Online
OpenStudy (jenniferjuice):

help? picture belowww

OpenStudy (jenniferjuice):

OpenStudy (jdoe0001):

\(\bf {\color{brown}{ f(x)}}=\cfrac{4}{5}x+4\qquad g(x)=4x+5 \\ \quad \\ g(\quad {\color{brown}{ f(x)}}\quad )=4{\color{brown}{ f(x)}}+5\implies g(\quad {\color{brown}{ f(x)}}\quad )=4\left({\color{brown}{ \cfrac{4}{5}x+4}}\right)+5 \\ \quad \\ \quad \\ 15\ biscuits\implies f({\color{blue}{ 15}})\qquad thus \\ \quad \\ g(\quad {\color{brown}{ f({\color{blue}{ 15}})}}\quad )=4\left({\color{brown}{ \cfrac{4}{5}\cdot {\color{blue}{ 15}}+4}}\right)+5\)

OpenStudy (jenniferjuice):

would it be 4 4/5 ?

OpenStudy (jdoe0001):

hmm well... ahemm nope... recall your PEMDAS :)

OpenStudy (jenniferjuice):

so i add 15 and 4 but what happenes when i distribute 4 and 4/5?

OpenStudy (jdoe0001):

\(\bf 4\left({\color{brown}{ \cfrac{4}{\cancel{ 5 }}\cdot {\color{blue}{ \cancel{ 15 }}}+4}}\right)+5\)

OpenStudy (jdoe0001):

you're missing the 15 factor, and recall, PEMDAS multiplication first, then addition

OpenStudy (jenniferjuice):

8+8+5?

OpenStudy (jdoe0001):

well.. \(\bf 4\left(\cfrac{4}{5}\cdot 15+4\right)+5\implies 4\left(\cfrac{4\cdot 15}{5}+4\right)+5\implies 4\left(\cfrac{60}{5}+4\right)+5\)

OpenStudy (jenniferjuice):

48+16+5?

OpenStudy (jdoe0001):

yeap

OpenStudy (jenniferjuice):

thank you !

OpenStudy (jdoe0001):

yw

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