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zhannawk [14.2K]
3 years ago
10

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y,

after x weeks:
A graph titled John’s Book Reading shows Number of Weeks on the x-axis and Number of Pages Left on the y-axis. The scale on the x-axis shows numbers from 0 to 6 at increments of 1, and the scale on the y-axis shows numbers from 0 to 175 at increments of 25. A straight line joins the ordered pairs 0, 125 and 1, 100 and 2, 75 and 3, 50 and 4, 25 and 5, 0.

HELP ME PLS
Which equation best models the relationship between x and y?

y = −5x + 25
y = −25x + 125
y = −25x + 175
y = −5x + 125

Mathematics
2 answers:
Genrish500 [490]3 years ago
5 0

Answer:

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175

Step-by-step explanation:

liraira [26]3 years ago
3 0
Question two or three probaly 2 because it shows the correct radio
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A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he
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Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

 n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

n = 10

r <= 3

Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

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