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q(1)  =  b(1)  + 1   =   b + 1

f( q(1) )  =  f( b + 1 )  =  (b + 1) - 3   =  b - 2

f( q(1) )  =  -3

b - 2  =  -3

b  = -1

You can imagine "sliding down" the upper line onto the lower line to see that they will be vertical angles, and so are congruent. The two angles have the same measure, so....

4x - 2  =  3x + 6

4x - 3x  =  6 + 2

x  =  8

Awesome! Great find helperid!

If the y intercept  is 5, the point  (0,5)  is on the graph

So.....we have that

y  = (-1/2) ( x - 0) + 5

y  = (-1/2)x  + 5

2x² - 16x + 32  =  0

First divide through by  2 .

x² - 8x + 16  =  0

Now we can factor the left side. What two numbers add to  -8  and multiply to  16  ?

-4 and -4  , so it factors like this..

(x - 4)(x - 4)  =  0

(x - 4)²  =  0       Take the square root of both sides.

x - 4  =  0       Add  4  to both sides.

x  =  4

slope  =  (y₂ - y₁) / (x₂ - x₁)

Using the points  (3, 1)  and  (x, y)  and a slope of  3 , we get

3  =  (y - 1) / (x - 3)       To get it in slope-intercept form, multiply both sides by  (x - 3) .

3(x - 3)  =  y - 1

3x - 9  =  y - 1              Add  1  to both sides.

3x - 8  =  y

y  =  3x - 8

log₂ x  + log₂ 3 = log ₂ 2 + log₂ 9

We can write

log₂ (3x)  = log₂ (2*9)   the logs are the same....so we can solve

3x  = 2*9

3x  = 18      divide both sides by 3

x  = 6

AB,  EF and GH  are parallel

Happy Halloween to you to Adam Tayrus!

HAHAHAHA!!!!!!.....don't wiorrry about it....we all make mistakes on here....!!!!

I can only choose AB or CD, not both :( 

Answered here :

http://web2.0calc.com/questions/if-f-x-sqrt-x-3-what-is-the-smallest-real-number

I cannot beleive I got that one wrong..... 

ProMagma....you got it upside down

Unit price  =     Total cost/ Number of units  =  3.33 / 6  ≈  56 cents  per Pepsi

ProMagma: You got it backwards !!.

$3.33 / 6 =0.555 =~0.56 cents per can of Pepsi.

5x + 15  =  115    subtract 15 from both sides

5x  = 100      divide both sides by 5

x  = 20°

So.....you're correct.....!!!!

After a talking sheepdog gets all the sheep in the pen, he reports back to the farmer: “All 40 accounted for.”

“But I only have 36 sheep,” says the farmer.

“I know,” says the sheepdog. “But I rounded them up.”

Post something please I want to give <3

Great Calculus, but I have no time :( sorry

The Bestest!

(I am not an emo..)