Answer:
The Answer is: y - 3 = 3/2(x - 1)
Step-by-step explanation:
Given Points: (1, 3) and (-3, -3)
Find the slope m:
m = y - y1 / (x - x1)
m = 3 - (-3) / (1 - (-3))
m = 3 + 3 / 1 + 3
m = 6 / 4 = 3/2
Use the point slope form and point (1, 3):
y - y1 = m(x - x1)
y - 3 = 3/2(x - 1)
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3/9 + 1/2 = 5/6
2 1/3 + 2 1/4 = 4 and 7/12
Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.
Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.
Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.
The relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.
Since visitors to a carnival are invited to guess the number of beans in a jar, and the person who guesses the correct number wins $ 300, but if multiple people guess correctly, the prize will be divided evenly among them, to determine what is the relationship between the number of people who guess correctly and the amount of money each person will recieve the following logical reasoning must be performed:
Since the prize is a fixed number, 300, it is a value that will not change. In turn, the more people who have guessed right, the lower the amount of money that each of them will win (because the number 300 will be divided by a greater number).
Therefore, the relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.
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Answer:
Your answer will be one-third. I hope this will help you.
Step-by-step explanation:
