3 years ago

3 times the difference between ten times a number and three is eighty one? Find the number

Mathematics

1 answer:

bixtya [17]3 years ago

7 0

{x 187394hours ,243}

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$

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3 years ago

Solve 4x - c=k for x

kumpel [21]

Answer:

x=k/4+c/4

Step-by-step explanation:

4x-c=k

4x=k+c

x=k/4+c/4

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3 years ago

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4<br> 16 out of 25 is equal to what percent?

alukav5142 [94]

Answer:

64%

Step-by-step explanation:

16 divided by 25 is 0.64 then multiply by 100 to convert a decimal to a percentage which equals 64%.

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3 years ago

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Eduardwww [97]

I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53

Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11

Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span> is $567,794

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3 years ago

Consider the original triangle and its enlargement.

Trava [24]

Answer:

I believe the scale factor is 2.

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3 years ago

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