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4m +  t     just substitute  m = 7 and  t  = 2  and we have

4(7) + 2  =

28  +  2   =

30

The first is the improper subset {1,2,3, 4, 5}

Next...we can choose any 3 of the 4 remaining elements to  include in a set with 5  = 4C3  = 4 more subsets

Then, we can choose any 2 of the remaining elements to include in a set with 5  = 4C2  = 6  additional subsets

Then, we can choose any 1 of the remaining elements to include in a set with 5  = 4 C1   = 4 additional subsets

Lastly...we can  just have a set only including 5   =  1  additional subset

Note....these  are just  the sum of the entries in Row 4 of Pascal's Triangle  = 1 4 6 4 1  =  2^4  =  16  subsets  [if we include the improper subset ] 

Yes, ur answer is better than the official explaination. BRAVO

9400  - [ 3200 + 445 + 225 + 385 + 214 + 156 + 96   ] =  $4679  left 

the answer is -7875.8?

Their take-home pay is  2(2300) + 4800  = 9400

Now....add all  the amounts in the table  and subtract this total from  9400....that will be your answer...

THANK YOUUU!!

−9x+4y=55

−11x+7y=82

Multiply the top equation  through by  7  and the bottom equation through by  -4   and we get

-63x + 28y  =  385     (1)

44x  - 28y   = -328     (2)

Add (1)  and (2)  and we have

-19x   = 57    divide both sides by  -19

x  = -3

And using   -9x + 4y  =  55   we can find y  as

-9(-3) + 4y  = 55

27 + 4y  = 55   subtract 27 from both sides

4y  = 28   divide both sides by 4

y  =  7

So  ....(x,y)  = ( -3, 7)

I would say  →  A

Automatically debiting your account  is the same as an immediate payment  of cash

$325  is between  $300 and $400

Go down to this row and  look  under the "0" column  for no exemptions   →   $7

Now go over to the  "2"  column for 2 exemptions  and note that the amount is  →  $2

So....his weekly withholdings will be  [ $7  - $2 ]   =  $5  more → "C"

If she saves 7%.....this is  .07 * 60,530  = $4237.10

The company matches 1/2  of this=  4237.10 * 1/2 =  $ 2118.55

Hmm alright ok 

Well...50  is the closest.....but it's still not correct....

50 * 10   =  $500   

time and a half  = 1.5

Total earnings  =     40 hours * $6.20   +  2.5 hours  *  ( 6.20 * 1.5)   =

40 (6.20)  + 2.5(6.20* 1.5)   =  $271.25

but there's no none above so which would i pick..? 50?

None of those answers, NSS  !!!!

If the employee makes $10 per hr....he/she will need to  work 60 hrs to earn $600  →  60 * 10   = 600

This is essentially the same as  finding the slope....Let  x be the minutes and y be the  miles

So  we  have the following  (x, y)  points  [ we only need two ]  ...(3,36)  and ( 5 , 60 )

Slope  =  change in  miles /  change in  minutes  =    (  60 -36 )  /  5 - 3 )   =   24 / 2  =   12  (miles per minute)  →  D

try to substitute a number smaller than 2 for x in the equation f(f(x))=x and see what happens.

example: when we substitute 1 for x we get:

f(f(1))=f(3) (we know that f(1)=3 because we defined the function f for 2 and values that are smaller than 2 by f(x)=2+(x-2)²)

so:

f(f(1))=f(3)=1 (we know that f(f(1))=1 because f is it's own inverse, meaning that f(f(x))=x)

but we know that for values of x that are larger than 2, f(x)=k(x). 3 is larger than 2, so now we know that 1=f(3)=k(3)

so k(3)=1. Try to use that way to find k(x) for every value of x that is larger than 2.

nvm i see you got it 

I assume that we want to find the slope...pick any two  points....I'll choose (0,2)  and ( 5,0)

Slope =   [ 2 - 0 ] / [ 0 - 5 ]  =  2  / -5   =   -2/5  →  A

Oh, I got it! Thanks!

1 minutes, 36/2=12 miles. So, 12 miles per minute.

Thanks!

k(x) is not greater than 2, it's a function that is defined for x>2 (k(x) is defined only when x is greater than 2)

Do you plug a value of x? Like, 6?

And, what do you do if you know k(x) is greater than 2.