the x s are the independent variable so any direct change to them is changing the independent. like the second one has -5 on the x
Answer:
30
Step-by-step explanation:
units from (-1,1) to (5,-1) and (-1,-4) to (5,-4) = 6 units
units from (-1,1) to (-1,-4) and (5,-1) to (5,-4) = 5 units
area of rectangle = L X b
= 6 X 5
= 30
Answer:
a. 6
b. 12
c. ![y = 6x + 12](https://tex.z-dn.net/?f=%20y%20%3D%206x%20%2B%2012%20)
Step-by-step explanation:
a. Using two pairs of values given, (0, 12) and (1, 18)
Rate/slope = ![m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 12}{1 - 0} = \frac{6}{1} = 6](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7B18%20-%2012%7D%7B1%20-%200%7D%20%3D%20%5Cfrac%7B6%7D%7B1%7D%20%3D%206%20)
Unit rate/slope (m) = 6
b. The starting value is the y-intercept (b). It is the value of of y when x = 0.
From the table, when x = 0, y = 12.
Therefore the starting value (b) would be 12.
c. The equation can be written in slope-intercept form,
, where,
m = slope/rate = 6
b = starting value/intercept = 12.
Plug in the values into the equation
The equation would be:
✅![y = 6x + 12](https://tex.z-dn.net/?f=%20y%20%3D%206x%20%2B%2012%20)
Answer: A phase shift horizontal translation to the right.
Step-by-step explanation:
A periodic function that does not start at the sinusoidal axis or at a maximum or a minimum has been shifted horizontally. This horizontal movement allows for different starting points since a cosine wave does not have a beginning or an end.
In this question, the sinusoidal wave is a cosine function of F(x) = cos x.
So to change the parent cosine function to the cosine function above, A phase shift horizontal translation to the right must have been done.
Answer:
1546
Step-by-step explanation:
just divide 3092 by 2