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y =  x+5 

Sub this value of y into the second equation:

x+5 = -2x-1   solve for x   ====> add  2x to each side

3x + 5 = -1    subtract  5 from each side

3x = -6

x = -2        NOW, sub this into one of the first two equations to find 'y'

y = x+5

y = -2 + 5  = 3

Kinetic and static.....   answered yesterday.

(x + 3) -  4 / (x - 1) = 5           multiply through by  x - 1

(x - 1)(x + 3) - 4  = 5(x - 1)       simplify

x^2 + 2x - 3 - 4  =  5x - 5

x^2 + 2x - 7  = 5x - 5       add 5, subtract 5x   to/from both sides

x^2 - 3x - 2   =  0     using the quadratic formula to find the solutions

3 ±√[(-3)^2-  4(1)(-2) ]             3 ±√ [ 9 + 8]            3 ±√17

________________  =  _____________  =     ________   =    x

         2(1)                              2                                2

Thank you!!

We need to find x

sqrt (8^2 -5^2)  = sqrt (64 - 25 )  =   sqrt (39)  = x

sec (theta)  = r / x  =  8/ sqrt (39)  =  8sqrt (39) / 39

tan (theta)  =  y / x  =  -5/ sqrt (39) =  -5sqrt (39) / 39

15/365 * .26 * 2110 = 22.5452054794520548  ~~ $22.55

[ x^2 + 4x - 12 ] / [ x - 2] 

[ x+ 6 ] [ x - 2 ]  / [ x - 2 ]   =   x + 6    (1)  

The "hole"  occurs where the original denominator = 0

So

x - 2 = 0

x = 2  ⇒  the "hole"    (2)

To find the coordinates of the hole, put (2) into (1)

2 + 6  =  8

So....the "hole"  occurs at (2, 8)

We have 12 entries......8 are <  7000 miles

So  probability  =  8 / 12  =    2 / 3

First one

4sin (x - 3)     [remember that a "-"  shifts the function to the right ]

Second one

Look at this

4(1/2) sin (x) + 2 + 6    =   2sin (x) + 8

So....it is vertically stretched by a factor of 4 and shifted up 6  units

Third one

The number out front doesn't affect the shift up/down...it just changes the amplitude of the curve....the midline of the graph remains the same

The number added or subtracted to the function affects the shift up/down

So.....shifting this sine graph [and its midline ] up 4 units results in f(x) = 4 + sin (x)

Look at the graph here :   https://www.desmos.com/calculator/gnp4zjdwvs

I'm hoping this is good enough for you

The probability is 3:5

The x coordinate of the 'hole' in the graph occurs where the denominator = 0   

The numerator factors as   (x+6)(x-2)

so    (x+6)(x-2) / (x-2)     simplifies to   x +6  (realizing that the hole value of x cannot apply)   to find the 'y' value of the hole

(Total entries<7000 )/ (Total #table entries) =   answer

Why do you ask ?

If you need more let me know ;P

4 white&brown

4 white&blue

brown&brown

I hope this is good for you unless you need more (^O^) (^m^) ^﹏^

(6-3)/(12-(-6))=3/18=1/6

Note that  using  y = (3/4)x, we have

6 = (3/4)(8)  

6 = 24/8

6 = 6

Solution set

Read the blanked note which reads:"In the predicted performance, the storage fee.......". Can you provide the full text of the note which appears to say that these figures are only"calculatory representation and actual.......". The figures you provided do not seem to add up.