Reflection across the line y= -x,
(x, y) —-> (-y, -x)
so, C’ will be (-1, 3), B’ will be (3, 2), and A’ will be (2, -6)
Answer:
First Choice: As the number of hours spent on homework increases, the tests scores increase.
Step-by-step explanation:
The definition of a positive correlation is a relationship between two given variables, in which both variables are moving in the same direction. This can mean when one variable increases and the other variable increases, too, or one variable decreases and the other decreases as well.
The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.
The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.
The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.
The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.
Answer:
250.50 - 35m = 300 - 45.25m
Step-by-step explanation:
Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other
The equation will be 250.50 - 35m = 300 - 45.25m
The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m
Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.
Answer:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
Step-by-step explanation:
From the given graph, it is clear that the two lines meet at the point (3, 2).
In other words,
Thus,
The point of intersection between two lines is:
(x, y) = (3, 2)
Here:
x = 3 is the value of the x-coordinate
y = 2 is the value of the y-coordinate
Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.
Subtract 1 from both sides
Simplify
subtract 2x from both sides
Simplify
Multiply both sides by 5
Simplify
Divide both sides by -5
Simplify
Therefore, the value of x = 3
Conclusion:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
