At a wedding dance couples have new partners nine times during a five minute song how long does one couple dance together

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

33.33333333333333333 seconds for every dance with couple

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Find the value of x. 6x+6 9x-9 32 24 x = [?]

Naddika [18.5K]

Answer:

x=3

Step-by-step explanation:

$\frac{6x+6}{32} =\frac{9x-9}{24}$

Cross mutiply and x is equal to 3

6 0

3 years ago

Evaluate the integral by interpreting it in terms of areas Draw a picture of the region the integral

denis23 [38]

Answer:

Step-by-step explanation:

The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.

For the integral from [0, 2], the equation of the line is -3x + 6;

For the integral from [2, 3], the equation of the line is 3x - 6.

We integrate then:

$\int\limits^2_0 {-3x+6} \, dx+\int\limits^3_2 {3x-6} \, dx$ and

$-\frac{3x^2}{2}+6x\left \} {{2} \atop {0}} \right. +\frac{3x^2}{2}-6x\left \} {{3} \atop {2}} \right.$ sorry for the odd representation; that's as good as it gets here!