NinjaDevo

Well, just put in 40 for x, (because x = 40) and work it out.

(x(-4)+10)/2+3x-12+(-10)+32                 ---Put 40 in for x

(40(-4)+10)/2+3(40)-12+(-10)+32        

Now do all the operations inside parentheses, because parentheses comes first in the order of operations. If there is a number in from a set of parentheses ( like 40(-4) ) it means to do multiplication.

(-160+10)/2+3(40)-12+(-10)+32   

(-150)/2+3(40)-12+(-10)+32            

Now do all the multiplication and division. We do this because this comes next in the order of operations.

(-150)/2+3(40)-12+(-10)+32 

-75 + 120 - 12 + (-10) + 32             ---Plus -10 is the same thing as just -10:

-75 + 120 - 12 - 10 + 32                   ---Now just add and subtract from left to right

-75 + 120 - 12 - 10 + 32

45 -12 -10 +32

33 -10 +32

23 + 32

55

So the value of the expression is 55. :)

Yup. They want you to choose the one answer where x doesn't equal 3.

Just treat the > sign like a = sign, and simplify like you usually would.

5x+19>2x-5                   ---Subtract 2x from both sides

-2x      -2x

---------------------

3x+19>-5                     ---Subtract 19 from btoh sides

     -19 -19

------------------

3x >-24                        ---Divide both sides by 3

3÷3x>-24÷3

x>-24÷3

x > -8

So any number bigger than -8 would satisfy this expression

$$\frac{|\mathbf{4*(-14)}|}{(-12)}$$

$$\frac{|-48|}{-12}$$

Absolute values make everything inside them positive:

$$\frac{48}{-12}$$

Move the minus sign to the outside:

$$-\frac{48}{12}$$

divide the top and bottom by 12

$$-\frac{48\div12}{12\div12}$$

$$-\frac{4}{1}$$

$$\mathbf{-4}$$

Anything raised to the 0 power is 1, so we get:

3(2)^0

3(1)

3 x 1

3

Yeah, I actually think that's they are looking for.

Thanks Dragon.

Well, let's use the formula for a cyinder to solve this.

First we have to make these two numbers have a common demoninator. 4 can really be written as 4/1, so we get:

$$\frac{-48}{9} + \frac{4}{1}$$

Like I said, get a common demoninator by multiplying the top and bottom of the second fraction by 9.

$$\frac{-48}{9} + \frac{4\times9}{1\times9}$$

$$\frac{-48}{9} + \frac{36}{9}$$

Add them together:

$$\frac{-48 +36}{9}$$

$$\frac{-12}{9}$$

or

$$-1 \frac{3}{9}$$

which is really:

$$-1\frac{1}{3}$$

If there isn't a sign between the sets of parentheses, it means to multiply. 

If there is a math sign inbetween the sets of parentheses, you have to that operation.

For example:

-No sign-

(3)(4) = 3*4 = 12

(8)(5) = 8*5 = 40

(9+1)(6) = (10)(6) = 10*6 = 60

-mathematical sign-

(8)+(9) = 8+9 = 17

(4)-(3) = 4-3 = 1

Hope this helps. :)