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densk [106]
3 years ago
6

T.J. is hosting a dinner party. T.J. greets the first guest and they shake hands. The second guest arrives and shakes hands with

T.J. and the first guest. The third guest arrives and shakes hands with T.J., the first guest, and the second guest. This pattern continues. How many handshakes have taken place after the ninth guest arrives?
Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

45 Handshakes

Step-by-step explanation:

45 Handshakes have taken place all together

pochemuha3 years ago
5 0

Answer:

45

Step-by-step explanation:

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Jim wants to put a wallpaper border around a rectangular room.The room measures 14 feet by 10 feet. If the wallpaper border come
Marat540 [252]

Answer: He needs 3 stripes.

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3 years ago
I don’t know how to do this
stich3 [128]

To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

g(x)=\begin{cases}2x+5&\text{for }x\le-3\\x^2-10&\text{for }x>-3\end{cases}

has two pieces, 2x+5 and x^2-10, both of which are continuous by themselves on the provided intervals. In order for g to be continuous everywhere, we need to have

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3^+}g(x)=g(-3)

By definition of g, we have g(-3)=2(-3)+5=-1, and the limits are

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3}(2x+5)=-1

\displaystyle\lim_{x\to-3^+}g(x)=\lim_{x\to-3}(x^2-10)=-1

The limits match, so g is continuous.

For the others: Each of the individual pieces of f,h are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.

4 0
3 years ago
Which shows the use of the associative property?
irina1246 [14]

Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

6 0
3 years ago
What is the answer? ​
Dimas [21]

Answer:

10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?
andrew11 [14]

Answer:

2.4x - 4.4

Step-by-step explanation:

0.3(4x – 8) – 0.5(–2.4x + 4)

1.2x - 2.4 + 1.2x -2

2.4x - 4.4

8 0
3 years ago
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