Answer: 
<u>Step-by-step explanation:</u>

NOTE: Neither the Trapezoidal Rule or Reimann Sums can be used without the number of rectangles (n) you are separating the interval into. Besides, they only provide an estimate. If you want the EXACT area, you must use integration.
<span>First of all, write these in a way people can read them in the future. Don't make it so hard to help you.
Secondly:
Given that a♥b = 2a(32− b)
If a♥b = −23, solve for b in terms of a.
A) b = 16a + 32
B) b = 13a + 32
C) b = 12a + 32
D) b = 16a − 32
</span>-23 = 2a(32− b), devide both sides by 2a -23/2a = 32 - b, subtract 32 from both sides -23/2a - 32 = -b, multiply both sides by -1 23/2a + 32 = b
verified:
b = 23/2a + 32
-23 = 2a(32 − (23/2a + 32))
-23 = 2a(32 -23/2a -32)
-23 = 2a(-23/2a)
-23 = -23
Are you sure you copied this correctly?
Answer:
A
Explanation:
the common difference is 12. 51+12= 63
Your conclusion would equal
x = 5
There is no such thing as a "digit number." However, you could write "a three-digit number."
Your "on one of the digit numbers is 160" is unclear. Did you mean to say, "<span>one of the 3-digit numbers is 160?"
Unfortunately, there is no 3-digit number that multiplies 160 to produce the product 624.
Carly, please go back to the original problem and ensure that you have copied it down completely and correctly. Thanks. Then I could help you further.</span>