Answer:
The equation of the line that goes through points (1,1) and (3,7) is 
Step-by-step explanation:
Determine the equation of the line that goes through points (1,1) and (3,7)
We can write the equation of line in slope-intercept form
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: 
We have 
Putting values and finding slope

We get Slope = 3
Finding y-intercept
y-intercept can be found using point (1,1) and slope m = 3

We get y-intercept b = -2
So, equation of line having slope m=3 and y-intercept b = -2 is:

The equation of the line that goes through points (1,1) and (3,7) is 
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
Answer:
I'm pretty sure it's the first and last one
Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>
What is the time it takes Sanjay to complete the puzzle? 6 hours
What is the time it takes Felipe to complete the puzzle? 8 hours
We can use the general formula of rate and time to solve this problem. Generally we have,
<em><u>Rate * Time = Work/Job</u></em>
<em>** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle</em>
- <u>Finding rate of Sanjay:</u>

- <u>Finding rate of Felipe:</u>

Working together, their rate is the sum,
Total Rate =
.
Using the general formula again, we can find the time it will take to solve the puzzle when both works together.
hours
Rounding the answer, we have 3.4 hours.
ANSWER: 3.4 hours