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156 + 100  =  256

156 + 168 =   324

Use desmos and put the formula

Y=28000*0.86^t

then put in y=5000 in another slide and see where they meet. thats the answer

There are 60 seconds in one minute.....so....in m minutes......there are 60m seconds

So we have

60m + 11

Agreed! 

Perimeter = 2L + 2W 

L being the length, W being the width.

So:

if the Length is 8cm more than twice the width, we have:

2W+8

so it's:

perimeter of a rectange = 2(2W+8)+2W

You asked me not to simplify it, so that should be your answer.

6 and 5   seem to work....

Welcome....

Thank You

My teacher saying s**t in front of after school science.

f(x)  =  [ x^2 - 49 ] / [ x + 7]  =    [ (x+ 7) (x - 7) ]   /  ( x + 7)      =  x - 7

Thus.....this is the graph  of  the  line   y = x - 7

And it will have a "hole"  at  x = - 7    because this value makes the denominator of the original function undefined 

And when x = -7,  then y = - 7 - 7 =  -14

So....the "hole" occurs at (-7, -14)

So....the second graph is correct

D; -1 becomes a +3, which would be a transformation of up 4. D is the only answer with 4 units up, therefore D

The second one (I just used desmos) 

x^2 - 10x + 8 = 0     subtract 8 from both sides

x^2 - 10x  = - 8       take 1/2 of 10 = 5....square it = 25    add to both sides

x^2 - 10x + 25 = - 8 + 25        factor the left and simplify

( x - 5)^2 = 17            take both roots

x - 5 = ±√17     add 5 to both sides

x = ±√(17) + 5

-8  was the isolated constant

2x^2  + 8x - 12 = 0       divide through by 2

x^2 + 4x - 6 = 0       add 6 to  both sides

x^2 + 4x  = 6          take 1/2 of 4 = 2.....square this = 4........add to both sides

x^2 + x + 4 =  6 + 4        factor the left and simplify

(x + 2)^2 = 10         take both roots

x + 2 = ±√10          subtract 2 from both sides

x = ±√(10)  - 2

This function is defined for all x except for x = -1

This value makes the denominator of the function = 0.....and thus....undefined

So....the domain is

(-inf, -1) U (-1, inf )

$5,000 = $28,000 x 0.86^t           divide both sides by 28,000

0.178571 = 0.86^t                        take the log of both sides

t = log(0.178571) / log(0.86)

t = 11.42 =~11 1/2 - years when the car will be worth about $5,000.

My model= 28000(0.86)^t

I don't get how to get the time though

A very touching poem by a dear friend 

Yep. but 4/3 is improper so your answer is correct

So obviously this is about exponents so, 2^n = 256 and obviously, n is 8, so probably 8 minutes.

-143/4 or-35.75

2 R = −1.03 + 7.11t − 0.38t^2

Max will be at  - b/2a    =    - 7.11/(2*(-.38)) = 9.355 yrs       since 1985  is t 5        1989 will be the year

And here I am, attempting the problem :P

I used a graphing calculator, looked at the graph and then found the area of R xD

That's half of a circle with radius 4 units, which is \(\dfrac{\pi\cdot4^2}{2} = 8\pi\).

I can't find a proper way of doing this. 

Temperature of -30 F this morning (NOT windchill!)

Is this part of your equation written correctly?      I think one of these terms should be t^2 ??? 

  7.11t − 0.38t <<<<<<<<-------- probably this one?

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