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To solve  -4  <  5x + 12  <  3  get the x-term alone in the center by removing both the 12 and the 5.

To remove the 12, subtract 12 from all three parts:  -4 - 12  <  5x + 12 - 12  <  3 - 12

     --->     -16  <  5x  <  -9

To remove the 5, all three parts by 5:     -16 / 5  <  5x / 5  <  -9 / 5

     --->     -3.2  <  x  <  -1.8

For what value of p does  x² + 2x + p  =  0  have real roots?

If  p = 1,  then  x² + 2x + p  =  0     --->     x² + 2x + 1  =  0     --->     (x + 1)²  =  0  has a double root with  x = -1.

If  p < 1,  then  x² + 2x + p  =  0  will have two real roots.

Ip  p > 1,  then there will be no real roots.

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p < -23

Do not listen to what ANonnyMouse said

p < -23

Do not listen to what ANonnyMouse said

v over 2 plus 10 equals 36

v/2 + 10 =36 subtract 10 from both sides

v/2=26 cross multiply

v=52

2 3 x −1 9 x + 5 = 20

4x =20 - 5

4x = 15 divide both sides by 4

x=15/4

x=3 3/4

In the top left hand corner, you will see a key labled "1/x" . Example: 4. Press 4 and click on that key and finally press = key. You should see: .25 displayed on top.

Example: 1/4 x 2/5

Press 1 then / then 4 followed by "x" key, then press 2, then / then 5 and finally press = key. Look at the top and you will see your answer.

It would be 2:51.

What does ! mean in math?

!. This is called "factorial". When you see it after a number, like 5!, it means: 5 x 4 x 3 x 2 x 1 =120.

18:35

10.283*27291.7676 = 280641.2462308

the answer is 66

Multiply the Radius by 2=Diameter

Circumference=Diameter x Pi

-14-2x=6x-6

-14=-3x-6

-8=-3x

-8/-3 = 2.6666666666666667

3* x-4 -5 <10

3x - 9 < 10 add 9 to both sides

3x < 19 divide both sides by 3

x < 19/3

50-3x=15+2x

50 - 15 =2x + 3x

35=5x divide both sides by 5

x=35/5

x=7

5/8 into a decimal=.625

 - 8 > p + 15 subtract 15 from both sides

-23 > p or

p < -23

the square root of 1 is 1 

Find the following limit:

lim_(x->2) (x^2-8 x+12)/(x^3-3 x-2)

(x^2-8 x+12)/(x^3-3 x-2) = (x-6)/(x+1)^2:

lim_(x->2) (x-6)/(x+1)^2

lim_(x->2) (x-6)/(x+1)^2 = (2-6)/(1+2)^2 = -4/9:

Answer: | -4/9

(sqrt(2)-1)/(sqrt(2)+1)=x/2 = x=(((2^((3/2)))-2)/(sqrt(2)+1)), or x≈0.343