All Answers 356000 Answers

by loling I assume I am right

uwu

Gotta' give  credit to Geno for his solution here :

https://web2.0calc.com/questions/answer-was-not-clearly-stated-last-time

His answer  is all that we can infer  because  the numerical value of a  depends upon  the  numerical value of b

For instance....pick a  value  for  b, say ,1

Then a =  1^2 + 1   = 2

Then  we have  that 

x^2  + 2(1)x + (2 - 1)  = 0

x^2 + 2x  + 1   =  0

(x + 1)^2   =    0

Verify for yourself that  x = -1   will be the  only  solution....

Also  note  that, in general,  we have

 x^2  + 2bx  + (b^2 + b - b)   =  0

x^2  + 2bx  +  b^2   =  0      which  can be factored as

(x + b)^2  =  0

So....we will always  have  just one solution, namely......x  = -b

There are four choices for the bottom scoop, then three choices for the next scoop, then two choices, then only one choice.

There are  4 x 3 x 2 x 1  =  4!  ways.

do I see a Jojo reference

owo

I used to be a guest owo

I would choose reading minds cause it sounds fun

Mmmmm...this is an interesting one

If s =   the  side of the square

So its area = s^2

And  s  also  = the base of  the isosceles triangle

So....the  area of the  isosceles  triangle  =   (1/2) base  * h   =  (1/2) s * h

And  this  =  the area of the square

Therefore

(1/2) s * h  =  s^2         divide  through by  s

(1/2) h  =  s                multiply through by 2

h =  2S

Here's  the  proof

x(-4)  + 5(-4) + 4x  + 20  = 1

-4x   - 20  + 4x  + 20  =  1

0  =  1

Impossible

So if y -4, we  have a contradiction which no "x"will resolve...!!!!

f( sqrt(x + 1) )  =  1/x

To find f(2), we first need to find the value of x that makes  sqrt( x + 1 )  =  2

Squaring both sides:                                                                       x + 1  =  4

So:                                                                                                        x  =  3

Now, we can replace x with 3:  f( sqrt(3 + 1) )  =  f( sqrt(4) )  =  f(2)  =  1/3

Identifiable  ways   =

   5!

_____  =     120  / 2     =   60

   2!

Perimeter  =        2 ( W + L)

So....this MUST  mean that

76  = 2  [ (x + 12)  + (3x + 10) ]    divide both sides  by  2  and simplify the stuff in the  brackets

38  =  4x + 22       subtract  22 from each side

16 =  4x    divide  both  sides  by  4

4 =  x  

To find the area  =  L * W

So....subbing in   4   we  have that

(4 + 12)  ( 3 (4)  + 10) 

(16)  ( 12 + 10)

(16) ( 22)  =

352  ft^2 

The distance from Capital City to Little Village is 140 miles. From Capital City to Mytown is 60 miles, from Mytown to Yourtown is 25 miles, and from Yourtown to Little Village is 55 miles. How far is it from Mytown to Little Village? 

Assuming you don't cut across the pasture or take some other, more direct route, then...

From Mytown to Yourtown                  25 miles 

From Yourtown to Little Village           55 miles 

total                                                     80 miles 

_.

Mmmm.....not sure.....but let's see if we  can maybe  work to a solution  ;

If we enter by any door, we  have 11 possible exits

And  this  is  true  for  any door...

So....we  have  12  ways to enter   and  for each of these, 11 ways to  leave

So

12 * 11   =

132 ways

Heureka  provides an EXCELLENT  method to determine this, here  :

https://web2.0calc.com/questions/geometry_136

[ I'd like to go through this one myself  !!!  ]

Thanks

CPhill: You may have gotten this one backwards ! 40% of 4200 =1,680 is "shared equally between 3 managers" and 60% of 4200 =2,520 is shared equally by 7 sales people.

Not totally sure about this  but....here's my best attempt

xy    +  5y  + 4x +  20   = 1      rearrange as   

xy   + 4x     =   19 - 5y

x [ y + 4]  =  [  19  -  5y  ]        divide both sides  by  y + 4

x  =   [  19 - 5y ]  /   [  y +  4 ]

Note that if    y   =  -4  , then x is undefined  because  we will be dividing the right side  by  0

So.....there  are  no solutions for   x  if y   =  -4

Here is  how guest got that answer  :

If all the digits are differerent  we have C(10,3)  = 120  sets

If  two  digits  are the  same  and  the  other  is different,  we  hve 10 ways to pick the two digits and 9 ways to select the remaining one  = 10 * 9  =  90 sets

If all 3 digits are the same,  we have 10  sets

So

120  +  90  +  10   =    220  sets  (ways)

A snack.....that sounds like a good idea   !!!!

Nice!

Note  that   the   number  of possible different sandwiches  that  can be  made = 3 * 3 * 3   = 27

Since  he  is allergic  to   rye, tuna  and chipolte sauce,  the  the total possible sandwiches he  could  order  that  he is NOT allergic to  =   2 breads * 2meats  * 2 sauces   =   8

So.....the probability  that  he orders a sandwich  giving him an allergic reaction  =  1  -  8/27  =

19  / 27

Yay I got the same answer as Chris!