I'm taking the same final test.
The answer is y= 1/4x - 5
How? Well in this case we are using the formula y= mx + b
Substituting it with the given point (8, -3) and the slope 1/4
it'll look like -3 = 1/4 (8) + b
Next we solve.
-3 = 1/4 (8) + b
-3 = 8/4 + b
-3 = 2 + b
-2 -3 = b
-5 = b
so we now we know that b = -5.
All we have to do is substitute that into the equation to get our final answer (this time, without the point 8,-3).
Our answer in the end is y = 1/4x -5
Answer:
1. The equation that represent the distance (d) that a person can run in t hours is: d = 4t
2. The equation is: c = $0.98(20)
3. The equation is: L = 18(5)
Step-by-step explanation:
1. The variable d represents the distance over time, and t represents the hour in the equation so if you want to find the distance over time, you would say distance per hour. The per means to multiply, so every distance is equal to 4 miles per hour..
2. If the teacher wants to find out how much she will have to pay for 20 chocolate bar, she has to substitute 20 into the equation to replace b, which means bar. So the equation would be: total cost (c) = $0.98 × chocolate bars (b). Once substituted, the equation will be c = $0.98(20).
3. The problem said "mows 18 lawns per day" and "mow in 5 days", that means that you substitute 5 into the equation to replace the d in days, since you are multiplying 5 × 18.. Your new equation will be: L = 18(5), Total Lawns = 18 (lawns) per 5 (days).
Im pretty sure it would be 0.2
Answer:
Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.
Step-by-step explanation:
As the complete question is not given a similar question is found online and is attached herewith.
Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.
Number of Candidates=12
Number of Posts=4
As the order is important the number of ways are identified using Permutations given as

So the number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.
Number of Candidates=12
Number of Posts=4
As the order is not important the number of ways are identified using Combinations given as

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.
I will love to help u but it don't understand the m