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dolphi86 [110]
3 years ago
6

A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How

long is each entertainment segment?
Mathematics
1 answer:
maksim [4K]3 years ago
8 0
Each one would be 5 minutes because 2 1/2 Times 4 = 10 minutes. You would have 20 minutes remaining so divide 20 by how many segments there are, which is 4 to get 5
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Which of the following is the inverse of the given function? Y=3x^5-4
lawyer [7]

y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

Step-by-step explanation:

   Given function y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4

   To find an inverse for any given function, which is of the form y=f(x), always swap x and y in the equation and try to get the form  x=f(y). Now, swapping back x and y, we get the inverse function.

   On swapping x and y, we get x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4

y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}

x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}

x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   Swapping back x and y, we get y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   This is the inverse function.

3 0
3 years ago
What is the solution to the system of equations?<br> 7x + 3y = -11<br> 2x + 5y=1
marta [7]

Answer:

x = -2 and y = 1

Step-by-step explanation:

for details see image

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6 0
3 years ago
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