I'm assuming the limit is supposed to be
Multiply the numerator by its conjugate, and do the same with the denominator:
so that in the limit, we have
Factorize the first term in the denominator as
The 
terms cancel, leaving you with
and the limand is continuous at 
, so we can substitute it to find the limit has a value of -1/18.
Answer:
The area of the box is equal to 9^3 = 729 in^3
729<1000
Step-by-step explanation:
No since the volume of the box is less than the total volume of the cubes
Answer:
144
Step-by-step explanation:
x^2+24x=17
b=24
(b/2)^2=(24/2)^2=12^2=144
Answer:
y = x + 1
Step-by-step explanation:
We are using the points (0, 1) and (6, 7). First, use these points to find the slope.
m = y₁ - y₂/x₁ - x₂
⇒ m = 7 - 1/6 - 0
⇒ m = 6/6
⇒ m = 1
Now that we know the slope is one, enter the values into the point-slope form equation. I'll use (0, 1) in this instance.
y - y₁ = m(x - x₁)
⇒ y - 1 = 1(x - 0)
⇒ y - 1 = x
⇒ y = x + 1
Therefore, the equation is y = x + 1.
