Answer:
The set of natural numbers is the set of all positive integers, then this set is:
{1, 2, 3, ...}
and the 24th letter of the alphabet is x
Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
We can "break" this in parts, so it is easier to understand.
Then:
"...the sum of the first 3 natural numbers..."
is:
1 + 2 + 3
Then:
"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"
This can be written as:
(1 + 2 + 3) + x
Now we can analyze the complete sentence:
"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"
This is equal to the expression we found above plus one, then we can write this as:
[(1 + 2 + 3) + x] + 1
[6 + x] + 1
6 + x + 1
7 + x
The square root of a a negative integer is imaginary.
It would still be a negative under a square root if you multiplied it by 2, therefor it will still be imaginary, or I’m assuming as your book calls it, undefined.
2•(sqrt-1) = 2sqrt-1
If you add a number to -1 itself, specifically 1 or greater it will become a positive number or 0 assuming you just add 1. In that case it would be defined.
-1 + 1 = 0
-1 + 2 = 1
If you add a number to the entire thing “sqrt-1” it will not be defined.
(sqrt-1) + 1 = 1+ (sqrt-1)
If you subtract a number it will still have a negative under a square root, meaning it would be undefined.
(sqrt-1) + 1 = 1 + (sqrt-1)
however if you subtract a negative number from -1 itself, you end up getting a positive number or zero. (Subtracting a negative number is adding because the negative signs cancel out).
-1 - -1 = 0
-1 - -2 = 1
If you squared it you would get -1, which is defined
sqrt-1 • sqrt-1 = -1
and if you cubed it, you would get a negative under a square root again, therefor it would be undefined.
sqrt-1 • sqrt-1 • sqrt-1 = -1 • sqrt-1 = -1(sqrt-1)
Sorry if this answer is confusing, I don’t have a scientific keyboard, I’ll get one soon.
m and 125º are supplementary angles:
m + 125º = 180º
m = 180º <span>– 125º
</span>m = 5<span>5º <</span>——<span>— this is the answer.
I hope this helps. =)
</span>
Answer:
A. y=1-2x
Step-by-step explanation:
-1 =1-2(1)
-1= 1-2
-1=-1
-3=1-2(2)
-3=1-4
-3=-3
-5=1-2(3)
-5=1-6
-5=-5
-7=1-2(4)
-7=1-8
-7=-7
