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ehidna [41]
3 years ago
15

Mr. Rodriguez works in a store. He wants to arrange 12 toys in a display shaped like a rectangular prism. The toys are in cube-s

haped boxes. How many rectangular prisms with different size bases can he make with the boxes?
Mathematics
1 answer:
Vilka [71]3 years ago
4 0
To find the different ways to display the boxes, you will find all the different ways you can make an array of 12.

12 x 1 and 1 x 12
2 x 6 and 6 x 2
3 x 4 and 4 x 3

There are 6 possibilities.
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Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.
kompoz [17]

For this case we must divide the following expression:

\frac {413} {129}

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

3 \frac {26} {129}

Verifying:

3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}

Answer:

3 \frac {26} {129}

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Aleksandr-060686 [28]

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Rufina [12.5K]

Answer:

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1}  =\frac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of:

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Is:

f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Therefore, the average rate of change of this function over that interval is 3.

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Answer:

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Step-by-step explanation:

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