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Nutka1998 [239]
3 years ago
13

Which equations are related equations to x + 8 = 22?

Mathematics
1 answer:
insens350 [35]3 years ago
5 0

3,4 because x=14 so 8=22-14 is correct and so is 14=22-8

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If y varies directly as x, and y = 6 when x = 5, find y when x = 15
r-ruslan [8.4K]

Answer:

y=18 when x=15

Step-by-step explanation:

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3 years ago
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Which rational exponent represents a cube root? A. 3/2 B. 1/2 C. 1/4 D. 1/3
diamong [38]

D. 1/3

A cube root can be written as an exponent: 1/3

\sqrt[3]{x} = x^{\frac{1}{3} }

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Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

4 0
3 years ago
What is the correct inverse function for f(x)=ln(3x)?
Maslowich

Let y = f(x)

y = ln(3x)

Exchange place with x and y.

x = ln(3y)

Solve for y.

y = (e^x)/3

Replace y with the inverse notation.

f^(-1) x = (e^x)/3

Done.



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What is 1/3 of 307? my question has to be at least 2 characters long soooo...
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1/3of 307 is 102.33
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