Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
Answer: Counter, 0, 0.
Step-by-step explanation:
Think about a clock. The hand of a clock goes clockwise. When you tighten something (righty tighty) you spin it clockwise. You can rotate an object, lets say a square, clockwise. You can also rotate it counterclockwise, in the other direction. Therefore, you can rotate an object clockwise and <u>counter</u>clockwise.
You can rotate a figure around any point, such as the center of the figure, the origin, or anywhere else. One common place to rotate a figure around, such as a square, is the origin. This is the center of the coordinate plane. This point is not up, down, left, or right at all from the center. This coordinate is (0, 0). Therefore, the next two blank spaces should both be filled with 0.
The blank spaces should look like this:
One direction is clockwise and the other is <u>counter</u>clockwise.
...
This can be any coordinate point such as the origin which is at (<u> </u><u>0</u><u> </u>, <u>0</u><u> </u>)
Answer:
The correct answer is 32.5
Answer:
Graph D > Graph A > Graph C > Graph B
Step-by-step explanation:
The closer the data points are to each other along the line of best fit, the greater the value of their correlation coefficient, and vice versa.
Therefore, the graphs can be arranged in descending other (from the highest to the lowest) based on the values of their correlation coefficients as follows:
Graph D > Graph A > Graph C > Graph B