The x-value at the y-intercept is 0. The y-value there is 2. As the x-value increases by 1 unit to x=1, the y-value decreases by 1 unit to y=1. Thus, the slope is -1, and the slope-intercept form of the equation can be written as
... y = -x + 2
Subtracting the right side puts the equation into general form.
... x + y - 2 = 0
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :

where;
a = 12; b = -144 and c = 299






Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Answer:
The value of k that makes the relationship shown in the table below proportional is 
Step-by-step explanation:
The relation is proportional if 
Putting values of x and y to find k.
For x =2 and y =1 k is: 
For x =4 and y =2 k is: 
For x =6 and y = 3 k is: 
For x = 8 and y = 4 k is: 
For x =10 and y = 5 k is: 
So, The value of k that makes the relationship shown in the table below proportional is 
Answer:
sorry but i need the points
Step-by-step explanation:
Answer:
B. is your answer
Step-by-step explanation:
First you multiply both sides by "x" and you get
12x - 4 = 3x
now add 4 to both sides and you get
12x = 3x + 4
now subtract "3x" from both sides and you get
9x = 4
divide both sides by 9 and you get
x = 4/9