Answer:
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 48 in and 32 in + Area of triangle with base 48 in and height 12 in.

Answer:
Hello
Step-by-step explanation:
Hello
The absolute value function is defined as

If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.
If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.
But if x = 0, the derivative doesn't exist!
In order for the derivative of a function f(x) to exist at x = c, the limit

must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.
If x approaches 0 from below (so x < 0), we have

whereas if x approaches 0 from above (so x > 0), we have

But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.
Putting everything together, you can define the derivative of |x| as

Answer:
Step-by-step explanation:
Alright, after reading this problem, let’s highlight some key points. Each sweater costs $25, we can write that down as 25x because will represent the amount of sweaters we buy. But we have a shipping fee of $7, so we will +7 to our highlights. And the total money spent was $132.
So far, we have: 25x + 7 = 132
Let’s subtract the 7 from the 132. Now we have: 25x = 125
Then we can divide by 25 on each side, and get x by itself.
X = 5 sweaters.
BONUS: Let’s replace 5 for our x to prove our answer
25(5) + 7 = 132 >>> 125 + 7 = 132 >>> 132 = 132 :D
There you go!! We buy 5 sweaters from American Eagle..!
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
The recursive formula gives a term in the sequence by multiplying the previous term by r
Given the recursive formula
a₁ = - 6
=
(
)
with r = 
Then explicit formula is
= - 6
→ A