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3 years ago

10

A class of 30 is divided into 2 groups such that the size of the smaller group is 2/3 the size of the larger group. How large is

the smaller group?

1 answer:

pogonyaev3 years ago

6 0

Answer:

I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10

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Silas just bought a used car for $5000. It loses value at a rate of 30% per year. The value of the car in n years is modeled by

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$1200.50

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Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron P

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3 years ago

F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))

KiRa [710]

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Step-by-step explanation:

Given

$f(x) = 5x^2+6\\g(x) = 7x$

So

$(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917$

Hence,

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Keywords: functions, Function composition

Learn more about functions at:

#LearnwithBrainly

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3 years ago