Oofrence

Line 1 has the equation of 3x+4y = -14. I'm going to change this into slope intercept form

4y = -14 - 3x

y = -3x/4 - 7/2 This shows that the slope is -3/4. A  function perpendicular to this would have a slope of 4/3. For 2 linear functions to be perpendicular their slopes must be negative reciprocals. 

So line 2 so far has the equation y = 4x/3 + b

The question gives that this function passes through point -5,7, and we can plug this into the equation

7 = 4(-5)/3 + b

7 = -20/3 + b

b = 7 + 20/3

b = 21/3 + 20/3

b = 41/3

The question is asking for m + b

m = 4/3 and b = 41/3

m + b = 4/3 + 41/3 = 45/3

m + b = 15

There are 6 total marbles/

1. 1/2 (the chance of drawing a red marble) * 2/5 (chance of drawing a second) = 1/5

2. 1/3 (chance of drawing a yellow marble) * 1/5 (chance of drawing a second) = 1/15

3. 2/3 (chance of not drawing yellow) * 3/5 (chance of not drawing a second yellow) = 2/5

1. by supplementary angles theorem, angle AEB and angle CEB add up to 180. This means CEB is 90. 4x-2 = 90. 4x=92. x= 23 (A)

2. 2x+y = 90

2(23) + y = 90

46 + y = 90

y = 90-46- 44 (C)

3. It's shown that it's a right angle (B)

a = cost of adult tickets

c = cost of children's tickets

3a + 2c = 2350

2a + 4c = 2500. 

6a+4c  = 4700

2a+4c = 2500

4a = 2200

a = 550 or $5.50

3(550) + 2c = 2350

1650 + 2c = 2350

2c = 700

c = 350 or $3.50

The Diaz family's spendings is 3a + c = 3(550) + 350 = 1650+350 = 2000 or $20

I'm assuming that this question is asking for what is 3^10 / 3^2 as 3^x. 

3^10/3^2 = 3^(10-2) = 3^8

Oh so my speculation was right

Thanks!

n is 9

f(f(3)) = 9 - 1 = 8

f(f(8)) = 64 - 1 = 63

I'll do this the bash way

f(2010) = (2011)/(2009)

f(2011/2009) = (4020/2009)/(2/2009) = 4020/2009 * 2009/2 = 2010

You can also notice that f[(x+1)/(x-1)] = x

There are 18 total socks

The chance that he picks out a blue sock first is 6/18 = 1/3

the chance that the next sock he picks out is also blue is 5/17

1/3 * 5/17 = 5/51

So the answer is the second option

Hello

1/45 + 1/105 = 7/315 + 3/315 = 10/315 = 2/63

It will take 63/2 = 31.5 minutes to complete it