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do you know any information for the other 2?

First    1 gallon = 16 cups

1 5/8 gall = 26 cups

r     1/4  /(2/5+1/4)  * 26 = 10 cups red

                                          16 cups blue   

thats what i was thinking as well. thank you again!

ohhh okay that makes some more sense! thank you

Agree with Chris....If they both got an incorrect answer, it is VERY, VERY unlikely you posted the question either incorrectly or it was very ambiguously written and subject to interpretation..     Poster quite often post incorrect questions with questionable to completely incorrect syntax and very poor English.    We are not computers......I make a lot of mistakes, but Chris, Heureka, GA , Alan . Melody, Geno rarely do !!!!

We  have  3  possible  points  for  the  last  vertex

These  are

[ -1 + 2 , 0 + 4 ]  - [ 2 , -4 ]  =  [  [ 1 , 4] - [2 , - 4 ] =   ( -1, 8  )

The perimeter  of this parallelogram = 

2  [  sqrt  [ (-1-2)^2 + (8-4)^2]  + 8  ]  =

2 [ sqrt [ 9 + 16 ] +  8 ]  =

2 [ 5  + 8 ] =

26

Another possible  point is

[ 2 + 2, 4 - 4]  - [-1,0] =  [ 4, 0]  - [ -1,0]  = (5,0)

The perimeter of this parallelogram = 

2 [ sqrt [ (5-2)^2  + (0 - 4)^2]  + sqrt [ (2- -1)^2 + (4 - 0)^2) ] ] =

2 [ sqrt (3^2 + 4*2)  + sqrt (3^2 + 4^2) ]  =

2 sqrt (25)  + sqrt (25) ] =

2 [ 5 + 5 ] = 

20

We don't need to calculate  the third possible point......this point will not chage  either  the greatest perimeter of 26  or the smallest perimeter  of 20

So.....the difference in perimeters  =   6

4  c  3     x      4   c   2  

Note  that  in  one  hour.....the portion of the pool that  is filled  =  [1/9 - 1/14 ] =

[14  - 9  ]  / [ 14* 9 ]  =

5 / 126

The reciprocal of this tells us  the  number of hours it takes to  fill the pool   =

126/5  =   25 + 1/5   hours  =   25 hours and 12 minutes

I don't know anything  about this.....but.....for the second one.....I believe  that  we have this  :

W =  Q_H -  Q_L

So

Q_H =  W + Q_L

OK.....

The vertex  is   ( 2,1)

The y intercept  = (0,5)

So   we  have  this  form

y  =  a ( x - h)^2  +  k        where  (h, k) is the  vertex and  (x,y) is another point on the parabola

So we have that

5 =  a (0 - 2)^2  + 1

5  = a (2)^2  + 1

4 = 4a

1  = a

So   we  have  that

y =1 ( x - 2)^2  +  1

y= x^2 - 4x  + 4 + 1

y  = x^2  - 4x  + 5

Here's  the graph, PC  : https://www.desmos.com/calculator/gbse0uvdko

a =(

thanks!

See both solution   methods  by Rom  and Heureka, here...

https://web2.0calc.com/questions/help_66938

No table is shown . .....

Whoa, dude  !!!

GA  and heureka  are two of our BEST  answerers....

Nobody  gets EVERYTHING correct......but....I'd say that they are right  about 99%  of  the time....

Besides....we don't even know  what problem you are  referring to.....!!!!

Area (trapezoid)   =     (1/2) height * ( sum of base lengths)

64  = (1/2) (12)  ( 4  + B)     

64  =  6 ( 4 + B)     divide both sides  by 6

64/6  = 4 + B

32/3  = 4  + B

32/3  = 12/3  + B    subtract 12/3  from both sides

20/3 cm  =   B  =  the  missing base length

\(P[\text{first was blue | second was blue}] = \\ \dfrac{P[\text{second was blue | first was blue}]P[\text{first was blue}]}{P[\text{second was blue}]} = \\ \dfrac{\dfrac 1 5 \dfrac 1 3}{\dfrac 1 5 \dfrac 1 3 + \dfrac 1 3 \dfrac 2 3} = \dfrac{\dfrac{1}{15}}{\dfrac{13}{45} }= \dfrac {3}{13}\)

The  t  that produces  the  smallest value  is  given by    -(-9) / [2 * 1 ]  =  9/2 = 4.5

Subbing  this  into  the function the  min  is

(4.5)^2  - 9(4.5)  - 36  = -56.25

The second one is similar

The  t  that  maximizes  this is  -8 / [ 2 * -1 ]  =  4

Subbing this into  the function gives  us  the  max  of

-(4)^2  + 8(4) - 4   =  12

Circumference =      pi * diameter

So

44  = pi*diameter

44/pi  =  diameter  =  side of  equilateral triangle

Area  of an equilateral triangle = 

(sqrt(3) / 4 ) * side^2   =

(sqrt (3) /  4)  *  (44/pi)^2   ≈  84.94  cm^2

No graph appears, PC.....

Let  M  be the cost  of 1 movie  and  V  the cost of 1 video game....we have this system

6M + 2V  = 30  

3M + 5V  = 36

Divide  the first equation through by  2   and we get that    3M + V   = 15

So

V  = 15 - 3M   

Sub this into the second equation

3M  + 5( 15  -3M)  = 36   simplify

3M  + 75  - 15M   = 36

-12M + 75  = 36   subtract75 from both sides

-12M =  -39    divide both sides  by  -12

M =  39/12 =  13/4  = 3 + 1/4  =  3.25  =  cost of a   movie

And

V = 15 - 3 (3.25)  =  15 - 9.75 = 5.25   = cost of a video game

Each revolution  that  the wheel  makes  it  will travel   2pi (diameter  / 2)  =   pi*diameter  = .65*pi

So.....the  number  of revolutions turned in  1000m  =

1000 / [ pi * .65  ]   ≈  489.7  revs

Identity  property  of addition that says that

a  + 0    =   a

Just because it indicates that he is answering does not mean that he is actually doing so. He could be sleeping or reading or whatever.

So I expect he is totally fine :)

-2x^2  + bx  + c

By Vieta.....

The  sum of the roots =  6  =  -b/ -2  =  b/2  which implies  that  b  =  12

The product of the roots   =   c /-2  =  (3  + sqrt (5) ) * (3  -sqrt (5))  =   9 -  5  = 4

So      c  / -2  =  4    which implies  that  (c  = -8

So

We  have  that   

-2x^2  + 12x  - 8

The x coordinate of the  vertex =  (-b)/ (2a)  =  -12/ 2 (-2)  =  3    [ which we might have guessed ]

The y coordinate  of the  vertex=   -2(3)^2  + 12(3)  - 8  =  10

Here's  the graph  :

https://www.desmos.com/calculator/fsqrjynnxb