Answer:
I. D: 
ii. R: 
iii. Y-int: 
Step-by-step explanation:
i) The given absolute value function is
The domain is all values of x that will make the function defined.
The absolute value function is defined for all real numbers.
The domain is all real numbers.
ii) The range is the values of y for which x is defined.
The given absolute value function is
This function has the vertex at 
and it is reflected in the x-axis therefore the vertex is the maximum point on the graph.
The y-value of the vertex is the maximum value on the graph.
Hence the range is
iii) To find the y-intercept, we put x=0, into the function to get;
The y-intercept is or (0,-6)
See graph in attachment.
just divide the number of food you have then go ahead and add the rest
To do this you need to put it in function form.
Here's the work
2y-3x = 8
2y-3x = 8
+3x +3x
2y = 3x+8
/2. /2
y = 3/2x + 8
To find perpendicular you multiply the slope the the opposite reciprocal.
y = -2/3x + 8
Then the +8 doesn't really matter now
Slope that is perpendicular is -2/3x
Answer:
x = 8 and y = 21
Step-by-step explanation:
Alternate interior angles are equal. Therefore, 7x + 12 = 12x - 28
12 = 5x - 28
5x = 40
x = 8
Now, supplementary angles have a sum of 180. Therefore, 12x - 28 + 9y - 77 = 180
Substitute 8 in for x and 12(8) + 12 + 9y - 77 = 180
96 - 28 - 77 + 9y = 180
9y - 9 = 180
9y = 189
y = 21
