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makkiz [27]
2 years ago
13

Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given i

n the table. What is the relationship between the two variables? Number of Players on the Team Time Taken to Complete Game (in minutes) 1 32 2 26 3 20 4 14 5 8 A. positive linear association B. exponential relationship C. negative linear association D. no relationship
Mathematics
1 answer:
12345 [234]2 years ago
5 0

Answer:

  • C. negative linear association

Step-by-step explanation:

<u>We have ordered pairs:</u>

  • (1, 32), (2, 26), (3, 20), (4, 14), (5, 8)

<u>Looking at the sequence of y-values:</u>

  • 32, 26, 20, 14, 8

We see it is the arithmetic progression with common difference of -6.

It means the function representing this relationship is linear.

Correct option is C.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5
DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that csc(x)=1/sin(x) and sec(x)=1/cos(x).

Thus:

\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}

=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }

Let's do the first part first: (Recall how to divide fractions)

\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}

For the second term:

\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}

So, all together: (same denominator; combine terms)

\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}

Note the numerator; it can be derived from the Pythagorean Identity:

sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)

Thus, we can substitute the numerator:

\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1

Everything simplifies to 1.

7 0
2 years ago
2x 2 + 10-12<br> X +6<br> Simplify
jenyasd209 [6]

Answer:

-72 X + 14

Step-by-step explanation:

6 0
2 years ago
Helppppp pleaseeeeeeeeeeeeeeeeeeeeee
KatRina [158]

Answer:

6.3

Step-by-step explanation:

Two sides are 9.6 meters long. The perimeter is 31.8 meters.

31.8-9.6-9.6=12.6 the remaining two sides.

12.6/2=6.3 represents the lengths of the other twp sides.

4 0
3 years ago
Read 2 more answers
Marco needs to buy some dog food. At the nearest​ store, 3 bags of dog food cost ​$6.75. how much would he spend spend on six ba
ipn [44]
Your answer would be $13.50 because is 3 bags cost 6.75 and you need 6 bags then just multiply the 6.75 by 2 and you get your answer :)
7 0
3 years ago
56/7 Find the whole number equal to the fraction below
m_a_m_a [10]

Answer:

8

Step-by-step explanation:

56 ÷ 7 = 8

7 0
3 years ago
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