when do you start learning all of this?

thank you

I'm assuming that the $600 is the opening balance.....

So....the correct balance is

600  -  178.23  + 363.82   =  $785.59

3x + 2y  = 1

-9x - 6y  = 3 

Note, NSS, if we multiply the first equation by -3 we have

-9x - 6y  =  -3

Note that this system has no solution because  -9x - 6y  = 3 but it also equals - 3  .....and this is impossible....two things subtracted can't result in two different values !!!

The second answer is the correct one for the second question

Thanks so much, i don't know why i over thinked this. you did it in a different, but similar way. In my class we our doing unit conversions, although you did it in a simple but effective way, where anyone with a microbrain can understand, I thank you from the bottom of my heart.

wut do you mean by that?

V3 usually means Version 3, but i have no clue what you are on about if it is maths related

Let the number of hours it takes be  " x " .

15 miles / hour  *  x hours  =  3.67 miles

15x  =  3.67

x  =  3.67/15

x  ≈  0.24

And

It will take about 14 minutes.

-4(y + 6) =  32

                             Divide both sides of the equation by  -4 .

y + 6  =  32 / -4

y + 6  =  -8

                            Subtract  6  from both sides.

y  =  -8 - 6

y  =  -14

So, if each item is $1.50, then 3 hot dogs cost $4.50, 2 nachos cost $3.00 and 4 pizzas cost $6.00 and all that together is $13.50.

(14 / 35 ) (3 / 4)   =   42 / 140  =   21 / 70   =   3 / 10  ft

5(x - 8)  = 60      divide both sides by 5

x - 8  =   12       add 8 to both sides

x  = 20

You were correct  !!!!

Hey, hectictar.....speed up those answers.....!!!!!!!

Seriously, WhichWitch  ?????

We aren't being paid for this......we try to answer as quickly as possible.....but....we can't guarantee anything.....!!!!!

(1/3) [  3      a             3                       2                      ] 

                   1          (1/3)(a + 1)       (10 + a) / 9

          _____________________________________

          3      a + 1     (10 + a) / 3        2  +  (10 + a) / 9

So

2 + (10 + a) / 9  =  4

(10 + a) / 9  =  2

(10 + a)  =  18

a  = 8

f(x)  =  (3x - 7) / (x + 1)

The denominator cannot be zero,  so we can't have   x + 1  =  0   →   x = -1

The domain of  f  is all values except  -1  .   (-∞ , -1) U (-1, ∞)

If you solve this for  x  , you will get  x =  (y - 7)/(y - 3)  .

Now we can see that  y  cannot be  3 .

Also...the degree of the numerator  =  the degree of the denominator,

so there is a horizontal asymptote at   y  =  3/1  =  3  .

So the range of  f  is all values except  3 .  (-∞ , 3) U (3, ∞)

Thanks :D 👍

Sorry.....fixed it.....

The first graph is the correct one, NSS......

See the graph here : https://www.desmos.com/calculator/r3scah60wf

f(x)  =  (2 - 3x) / (5 - 2x)

f(a)  =  (2 - 3a) / (5 - 2a)  =  3

(2 - 3a) / (5 - 2a)  =  3

                                                 Multiply both sides by  (5 - 2a) .

2 - 3a  =  3(5 - 2a)                    And  a ≠ 5/2  .

                                                 Distribute the  3 .

2 - 3a  =  15 - 6a

                                                 Add  6a  to both sides.

2 + 3a  =  15

                                                 Subtract  2  from both sides.

3a  =  13

                                                 Divide both sides by  3 .

a  =  13/3

thanks but the problem was actually -31 not +31 can you do it again please cause I dont know what to do thanks so much

We want to find

3x^2 - 4x =  3(k - x)^2 - 4(k -x)

3x^2  - 4x =   3k^2 - 6kx +3 x^2  - 4k + 4x

8x + 3k^2   - 6kx   - 4k  = 0

-4 ( k - 2x)  + 3k ( k - 2x)  = 0

(k - 2x)  (3k - 4)  =  0

The first factor will not produce a constant.....so.....

3k - 4  = 0

k = 4/3

x^2 + 4x - 31

This parabola turns upward...the x coordinate of the vertex is given by :

-4/ 2  =  -2

And the y coordinate of the vertex is given by

(-2)^2 + 4(-2) -  31 =   4 - 8 - 31  =   -35  =  a

Seriously fast answers would be appriciated