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kramer
3 years ago
10

Determine the intervals of the domain over which the function is continuous.

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

(c) (-infinity, infinity)

Step-by-step explanation:

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The angle marked a = 120°.<br> Work out the value of x.<br><br> The diagram is not drawn accurately.
lapo4ka [179]
<h3>Answer:  x = 60</h3>

Work Shown:

a+x = 180

120+x = 180

x = 180-120

x = 60

Side note: angles 'a' and x are same side interior angles, which are supplementary whenever we have parallel lines like this.

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Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i
zubka84 [21]

Answer:

35\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=7\\r=3

substitute

C(7,3)=\frac{7!}{3!(7-3)!}\\\\C(7,3)=\frac{7!}{3!(4)!}

simplify

C(7,3)=\frac{(7)(6)(5)4!}{3!(4)!}

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C(7,3)=\frac{(7)(6)(5)}{(3)(2)(1)}

C(7,3)=35\ ways

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3 years ago
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