ElectricPavlov

The only root of x^3-x+2 is   -1.5214  (by graphing)

-1.5214^6 - ( -1.5214)^2 +4(-1.5214) = 4.00

Let's find out :

6x+30+4x = 10(x+3)

10x+30 = 10x+30                 ANY value of x will make this true...infinite answers !

A guess would be only one as it is an equation of x¹

^{Try it out:}

^{8x+47 = 8x + 40}

^{47=40                                    This is NOT true...so there are actually   ZERO solutions !}    

In the first scenario, h will be a positive number

in the second drawing h = 0

in the third scenario h will be some negative number

.02 d^2 - 0.6 d +1     will have a nadir (a low point) at  -b/2a   =  -  -0.6/(2*.02) = 15 m = d

SUstitute this value in for d    .02(15^2) - 0.6(15) + 1 = h  = = -3.5    so this applies to the third picture.

DO the same thing for this equation   a (low point) = - b/ 2a = 15  (again)

    now substitute this value into the equation and find   h   to see what scenario this second equation fits....... you can do it!  

= 6x^2 + 8x + 2   

Just imagine two  polygons made out of pipe cleaners......and all of the sides are proprtional (or even the same length)....then you knda squoosh one to the side.....now it has equal length sides, but not angles and it doesn't look like the other....can you draw something like that?

4x^2 + 20x + 24

h = hours

temp starts at 50

decreases by four each hour     - 4 h

< 32

50 - 4h < 32   solve for h.....subtract 50 from both sides of the equation

-4h < -18    divide both sides by -4 (remember when you multiply or divide an inequality by a negative the <> reverses)

h> 4.5 hours

-13x = 78    divide BOTH sides of the equation by -13

x = - -6     Ta - Da !!