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what does x equal? 35 + sec^2x = 12tanx

\(35 + sec^2x = 12tanx\)

\(sec^2x=\frac{1}{cos^2x}=\frac{1}{\frac{1}{1+tan^2x}}=1+tan^2x\)

\(35+1+tan^2x=12tanx\)

\(tanx=z\)

\(z^2-12z+36=0\)

\(z=6\pm\sqrt{36-36} \)

\(z=6\)

\(tanx=6\)

\(x=arctan6\)

\(x=1.4056476 \ or \ x=80grd\ 32min\ 15.6sec\)

\(and \ x=1.4056476+\pi \ or \ x=80grd\ 32min\ 15.6sec+ 180grd\)

  !

The way to do it is divide (2x⁴ + 3x³ - x² + 6x -10) by (x² + 2) using long division or synthetic division and whatever you get is the answer.

So it is B: 2x² + 3x - 5

Copycat

the correct answer is B

B because some quick calculation will rule out A,C and D.

Here is another gander

r x t = d

a)  12 x 15 = d

b)  6 x 30 = d

a+b = total distance  AND   (a+b) / time  = rate        [(12 x 15) +( 6 x30) ] / 18 = 20mph

Thank you!! I was worried I had made it more complicated than necessary. Also I said "to the grocery store and back twice " which would be 4 times he traveled it, oops haha.

x*2=y if x=1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024, 2,048...

Very nicely explained hectictar   

I'd give you more points if I could.  Hopefully Athena will give you some points (stars) too :))

Leap years are divisible by  4

182.282 octillion

3 square root is a cube root. So 4*-5=-20. 16--20=16+20=36. Cube root of 36 is 3.3019.

Here's how to do it.

Start by drawing your x axis and your y axis. It looks just like a big plus sign. The x axis is the horizontal line. The y axis is the vertical line. The point where the two lines cross is the origin.

Draw some short tick-marks on your axes.

Label your tick marks.

On the y axis:

     the tick marks above the x axis count up from 0 starting at the origin.

     the tick marks below the x axis count down from 0 starting at the origin.

On the x axis:

     the tick marks to the right of the y axis count up from 0 starting at the origin.

     the tick marks to the left of the y axis count down from 0 starting at the origin.

Now put your pencil on the origin. Move your pencil straight down 9 tick marks. Draw a dot here.

Now put your pencil on the dot you just made. Move the pencil up 3 tick marks, then move it left 1 tick mark. Now draw a dot at that point.

Next, connect your two dots with a straight line.

Next, give yourself a pat on the back because you have just graphed y=-3x-9 !!!!!!!! :) :) :) :)

OMG    and     XD

r=-((99159/(31818*ln(((100*r)/11))-39592)))

(y=f(x))

I honestly forgot how to to this so I had to refresh my memory with this website.

1. If zeroes are as above then

\(y=a(x-1+\sqrt{2})(x-1-\sqrt{2})\)

as \(y=a(x-b)(x-c)\)

where b and c are the zeroes

and as y-intercept = 4

\(4=a(-1+\sqrt{2})(-1-\sqrt{2}) \)

\( = a(-1)\)

Therefore a=-4, and thus

\(y=-4(x-1+\sqrt{2})(x-1-\sqrt{2})\)or

\(y=-4{x}^{2}-8x-4\)

(expanded)

2.As f(2)=0 and f(4)=0, 2 and 4 are zeroes, therefore

\(y=a(x-2)(x-4)\)

and as f(3)=-2, we can substitute x=3, y=-2 to solve for a

\(-2=a(1)(-1) \)therefore

a=2, and so

\(y=2(x-2)(x-4)\)or'

\(y=2{x}^{2}-12x+16\)

(expanded)

arctan(0.59) ≈ 30.541º

arctan(0.59) ≈ 0.533 rad.

If 8 packages cost $5.89, then one package costs $5.89/8 = $0.73625

The total price equals the number of packages you bought times the price of each package.

$28.62 = number of packages*$0.73625

$28.62/$0.73625 ≈ 38.873 packages

This seems off though because what store charges 73.625 cents for packs of hamburger meat?

74 cents makes the price for 8 packs too high and 73 cents makes the price for 8 packs too low. 73.6 cents works but that still is a fraction of a cent.

On top of that who buys 38.873 packages? Oh well.