For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).

3 0

4 years ago

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A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?

shusha [124]

Answer:

See below:

Step-by-step explanation:

So we know that there is a $\frac{3}{4}$ feet long board and that it is split into 6 pieces.

With that information, we can split it by doing the following:

1. $\frac{3}{4} *\frac{1}{6}$

We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.

After doing that, we get our answer of $\frac{3}{24}=\frac{1}{8}$

This means that each piece is $\frac{1}{8}$ feet long.

Cheers!

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2 years ago

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