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x=1/4

Thank you so much.

using fraction tactics, we have $x = \dfrac{1}{4}$ and $x = -\dfrac{1}{4}.$ 

if the statement $f(a) = f(b)$ implies that $a = b$, that tells us the function is invertible, or that each input has a unique output. all invertible functions have inverses. your answer is True.  

$x^2 = \dfrac{169}{225}$

$x = \sqrt{\dfrac{169}{225}} = \dfrac{\sqrt{169}}{\sqrt{225}}$

$x = \dfrac{\pm 13}{\pm 15}$

basically your solutions are just $\dfrac{13}{15}$ and $-\dfrac{13}{15}.$ nice!

(A) (0, -1), plain and simple. just realize that a y-intercept always has an x-value of 0, so A.

We  can write

y =  a ( x - 2) ( x - 4)       and we  know  that  ( 3, 6)  is on the graph  so

6  =  a ( 3 - 2) ( 3 - 4)

6  = -1 a

a  =  -6

So  we  have

y  = -6  ( x - 2) ( x - 4)

y  =  -6  ( x^2 - 6x  + 8)

y =  -6x^2  + 36x  -  48

See  the  graph here :   https://www.desmos.com/calculator/puneh6dg7u

Note  that  arc SV  = 180°  and arc SW  = 72°

So

arc  SV  - arc SW =  arc  WV

180  - 72   =  arc  WV  =   108°

There will be 2019  blue squares with 1 inch sides.....3 of which are outside of the red

2019 * 3 = 6057 units

See example below with six sided hexagon      6 squares with 3 sides each contributing to the perimeter total :

is this 1 - 13/16 = 3/16? 

heyo nice solution

Hey there, Guest!

So let's say that the perimeter is named "P" of the resulting red and blue shape is p = NL where N (= number of sides) = 2019 and L (= length) of side = 1 unit.

So, P = NL = 2019 × 1 = 2019 units

Hope this helped! :)

( ﾟдﾟ)つ Bye

$2019 \cdot 1 = 2019$?

so we are trying to maximize $\dfrac{382 + x}{2} - \dfrac{382 + y}{2}$, assuming $x$ is the greater number. if the set is inclusive, we have $150 \leq y \leq x \leq 350$

to maximize the difference, $x = 350$ and $y = 150.$ the fractions of each are $\dfrac{732}{2}$ and $\dfrac{532}{2}$, so the difference is $\dfrac{732-532}{2} = \dfrac{200}{2} = \boxed{100.}$

Hey there, Guest!

So for this problem, we can actually do it in a simple way with smaller numbers:

55*11 = 605
55*111 = 6105
55*1111 = 61105
55*11111 = 611105

Do you see the pattern now?

Therefore: 6+(55-2)+0+5 = 64

Hope this helped! :)

( ﾟдﾟ)つ Bye

Thank you for your guessing and answering....

But I found out that when we add tax first on the the original price then we apply the discount, The discount will increase which saves more price and money

But thanks alot for your answering maybe it right and maybe not.....

hey thats pretty good 

Discovering a pattern is  always   a useful thing to  try in these problems

Note

55 *  11  = 605

55 *  111  =  6105

55  *  1111  =  61105

55  * 11111 =  611105

It  appears  that  the  sum  =  6 + 5  +  ( n - 2) * 1      where  "n"  is  the  number  of 1s we are multiplying  by

So...multiplying  by  55  " 1s "   gives  the  sum :   6 + 5 +  (55 - 2) ^ 1   =   11 + 53  =  64

They are parting company at a rate of    95 + 105 = 200 km/hr

400 km / (200 km/hr) =

in TWO hours they will be    400 km apart 

Yah,  they are now visible

      Thanx , Chris !     ~ EP

I "unblocked" them, EP....are  they showing up now  ???

Image unblocked:  See above   ^^^^^^^^^^

77777

See if you can find the answers with this diagram:

The  bases   are parallel

Consecutive  angles  formed  by  a transversal  cutting parallel lines  are  supplementary  . ...so...

"a"  is  supplemental  to  61°  = 180  - 61  =  119°

"b"  is supplemental to 132°   = 180 - 132   =  48°