Answer: Y = 3x - 2
Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2
<em>I hope this helps, and Happy Holidays! :)</em>
Answer:
X= -3
Step-by-step explanation:
3x-9=8x+6
3x-8x=6=9
-5x=15
x=-3
Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule
![(x,y)\rightarrow (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2C-y%29)
is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule
![(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%5Cleft%28%5Cdfrac%7B7%7D%7B8%7Dx%2C%5Cdfrac%7B7%7D%7B8%7Dy%5Cright%29)
is a dilation with a scale factor of
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule
![(x,y)\rightarrow (x+6,y-4)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2B6%2Cy-4%29)
is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule
![(x,y)\rightarrow (y,-x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28y%2C-x%29)
is a clockwise rotation by
angle over the origin.
Clockwise rotation by
angle over the origin preserves the congruence.
Answer:
1) matched samples
2) single sample
3) independent samples
Step-by-step explanation:
1) couples were taken and their behaviors matched
2) only one sample was used
3) two different samples were used and their average compared.