Answer:
y = x + 6
Step-by-step explanation:
y = x + b
when x = 0, y = 6. so....
6 = (0) + b
6 = b
so, y = x + 6
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
The rate of change is the slope of this line
m = (y2 - y1)/(x2 - x1) = (13 - 5)/(4 - 0) = 8/4 = 2
Answer:
x = -1, x = 1
Step-by-step explanation:
Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)
Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!
Set it equal to 0.
Separate the two parenthetical expressions by the Zero Product Property.
Solve for x!
1/7 = 2/14 =
<span>
<span>
<span>
0.1428571429
</span>
</span>
</span>
1/8 = 2/16 = 0.125
2/15 =
<span>
<span>
<span>
0.1333333333
</span>
</span>
</span>
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)
