higgsb

Adding a negative is the same as subtracting a positive, so ~

(+35)+(-147) = 35-147 = -112

That's a very interseting picture of a Dachshund. :)

x-6 <= -1   -->  add 6 to both sides to get x <= 5

So the answer is that x is less than or equal to 5. 

17x3+(3x+8x3) = \(17x\cdot \:3+3x+8x\cdot \:3 = 51x+3x+3\cdot \:8x = 51x+3x+24x = 78x\)

3*3 = 3^2 = 9, so the square root of 9 is 3. 

(The square root of a number, x, is the number, y, in which y*y = x.) y*y can also be written as y^2

The rule for muliplying negatives and positives together is that if you have an even number of negative numbers, then your product is positive. If you have an odd number of negative numbers being multiplied, then your product will be negative. 

If you are just multiplying two negatives, then your answer should be positive, not negative.

Plugging in the values for the variables into the equation, you get h = -16(2^2)+48(2).

h = -16(2^2)+48(2) --->

h = -16(4) + 96 --->

h = -64 + 96 --->

h = 32

5. communitive property of multiplication (yx = xy)

6. associtative property of addition ((a + b) + c = a + (b + c))

-16/3 = (-5*3-1)/3 = -5  1/3

1. Additive inverse is the number you add to the given number in order to get 0. So -2/3.

2. Muiltiplicatice inverse of a/b is b/a. So 3/2.

3. x-y ≠ y-x. Just plug in numbers - 1-2≠2-1, 3-4≠4-3, etc...

4. Set of closed number is closed under addition and multiplication. Not subtraction because x-y can be negative, and negative numbers are not whole numbers (example: 3-5 = -2).

7. ab

8. ab/-1

9. No. Integers are closed under addition, subtraction, and multiplication. (Example: 8/6 is 4/3, which is not an integer.)

1. 5(x + 5) = 5x+25

2. 4(b - 4) = 4b-16

3. -2(x - 1) = -2x+2

4. -3(a - b) = -3a+3b

5.(1 + y)(-1) = -1-y

6. -(-a - 1) = a+1