ElectricPavlov

#2  Not sure.....     do you mean that everyone there shakes hands with eveyone else there?

If 'e' is just a variable like 'x'  or 'y'

4-3(e+2) =  -25

4 - 3e - 6 = -25

-3e-2 = -25

-3e=-23

e = 7 2/3   or 7.666666......    Yep  Y'all got it correct !

If you use    (y2-y1)/(x2-x1)    You will get the same answer.....fyi

x^3 = 960000000/33 = 307.55238

Just substitute  in  -2  for 'x'

f(x) = -3(-2) + 4 = 6+4 = 10

3(a+b) = 3a + 3b     (distributive property)

Not too bad, here we go:

y= fx gx

y =f x(7x+b)

y= sqrt(7x+b)       Can you figure it out now?

one more step   substitute in  (4,6)

6= sqrt(7(4) + b)          Now?

6 = sqrt(28+b)

36 = 28 + b

b = 8

#1

Mom age = x

Daughter age = y

age difference  = x-y

Now, the Daughter's age MINUS the age difference equals  7

y-(x-y) = 7  or  2y-x=7     (Equation 1)

AND the Mother's age PLUS the age difference is 88

x+(x-y) = 88  or 2x-y =88  ((Equation 2)

From equation 1 :    x = 2y-7    Sustitute into equation 2

                              2(2y-7) - y =88    solve for y =34       = daughter's age     

Equation 1 again  2y-x=7    2(34) - x = 7     x = 61= mom's age

Absolutely !  THe y-intercept can be ANYwhere on the y-axis   ....

Pick two points on the graph   (x1,y1)  and  (x2,y2)

Slope = rise/run   

slope =  (y1-y2)/(x1-x2)