Answer:
slope = -1/4, y-intercept = 50
Step-by-step explanation:
x=0 y=50
x=100 y= 25
y= mx+b
b= 50
25= 100 m +50
100m = - 25
m= -1/4
where m is the slope and b is the y intercept
Brian, Josh, Chad, Jordan, Ryan, and Rachel are the 6 players in a round-robin racquetballtournament. Each player will play aset against each of the other players. List all the sets that need to be played.
there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6.
What is the combination?
In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.
There are a total of 6 players in the round-robin racquetball tournament, which means that each player will play a set against each of the other 5 players.
To determine the total number of sets that need to be played, we can use the combination formula:
nC₂ = (n*(n-1))/2
where n is the number of players.
In this case, n = 6, so:
6C₂ = (6*(6-1))/2 = 15
Hence, there are 15 sets that need to be played in the tournament. To list all the sets, we can simply list all the possible combinations of 2 players from the group of 6:
Brian vs. Josh
Brian vs. Chad
Brian vs. Jordan
Brian vs. Ryan
Brian vs. Rachel
Josh vs. Chad
Josh vs. Jordan
Josh vs. Ryan
Josh vs. Rachel
Chad vs. Jordan
Chad vs. Ryan
Chad vs. Rachel
Jordan vs. Ryan
Jordan vs. Rachel
Ryan vs. Rachel
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**hint** Find the hypotenuse and then subtract that from the distance he actually traveled.
Answer:
10 miles
Step-by-step explanation:
Find the 9th term of the geometric sequence 10, 40, 160, ...
The average distance from the Sun to Mars is 22,793, 910,000,000 centimeters.
The conversion factors between centimeters and four other units of measure are shown below.
9.46. 10^17 cm = 1 light-year
1.50.10^13 cm = 1 astronomical
1 . 10^5 cm = 1 kilometer
1. 10^2 = 1 meter
For the distance to be expressed as x units of measure, where 1 < x < 10, which unit of measure must be used?
A Light-years
B) Astronomical units
C)Kilometers
D) Meters
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
x2-36
10.) Reduce the ratio, x2 +4x-12
|
I
Step-by-step explanation:
Simplify 15 − 10 x 8 x 3 − 12 x 2 \dfrac{15- 10x}{8x^3-12x^2} 8x3−12x215−10xstart fraction, 15, minus, 10, x, divided by, 8,
What is 35^1/3 in the simplest radical form
HELP ME PLZ ITS DUE AT 11:59 AND I HAVE MORE
Answer:
Step-by-step explanation:
1: no
2 yes
3 no
4 yes
5 no
6 no
7 always
8 always
9 never
10 always
11 always
12 never
13 108
14 80
15 70
16 123
17 38
18 167
19 10
20 154
The function F represents the revenue in dollars the school can expect to receive if it sells 220-12× coffee mugs for dollars each.
Options B,D, and E are correct as per the given Function of the revenue.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A. At $2 per coffee mug, the revenue will be $196.
This statement is incorrect.
If the price per mug is $2, then the revenue would be (220 - 12x) * 2. If x = 12 (i.e. 12 mugs are sold), then the revenue would be (220 - 12(12)) * 2 = $176.
B. The school expects to sell 160 mugs if the price is $5 each.
This statement is correct.
To find the number of mugs sold at a given price, we need to solve the equation (220 - 12x) * x = revenue, where revenue is the expected revenue at that price.
However, the graph does not provide enough information to determine the number of mugs sold at a price of $5.
C. The school will lose money if it sells the mugs for more than $10 each.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases, up to a maximum revenue of about $1,000 when the price is $10 per mug. Therefore, the school will not lose money if it sells the mugs for more than $10 each.
D. The school will earn about $1,000 if it sells the mugs for $10 each.
This statement is correct. The graph shows that the maximum revenue occurs when the price per mug is about $10. At this price, the revenue is approximately $1,000.
E. The revenue will be more than $700 if the price is between $4 and $14.
This statement is correct.
The graph shows that the revenue is increasing in this price range, and the minimum revenue occurs when the price per mug is about $18. Therefore, the revenue will be more than $700 if the price is between $4 and $14.
F. The expected revenue will increase if the price per mug is greater than $10.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases up to $10, but then it starts to decrease. Therefore, the expected revenue will decrease if the price per mug is greater than $10.
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Complete question: