CPhill

(1999, 7.9) (2000, 8.1)

Slope  =  [8.1  - 7.9 ] / [ 2000 - 1999]  =  .2 / 1  =  .2   = m

So

y  = .2 ( x - 2000) + 8.1

y = .2x - 400 + 8.1

y  = .2x  - 391.9

Find    the    value    of    c so    that     (x − 4)  is    a    factor    of    the    polynomial    f(x). cx^3-4x^2+2x+3

If x - 4 is a factor, then 4 is a root...so

c(4)^3 - 4(4)^2 + 2(4) + 3  = 0

64c - 64 + 8 + 3  = 0

64c - 53   = 0

64c   = 53

c  = 53/64

Graph here :   https://www.desmos.com/calculator/6kydf74zct

No prob.....!!!!

5x+6 = 1x-4      subtract 6, 1x from each side

4x = -10     divide by 4

x  = -10 / 4   =  -5 / 2

4  / [x (x + 2) ]  =  A / x   +  B / [x + 2]

4 / [x (x + 2)] =  [ A(x + 2) + Bx]  / [ x (x + 2))]

Since  the denominators are the same, we can solve for the numerators

4 = A(x + 2) + Bx

4 = Ax + 2A  + Bx

0x + 4   = (A + B)x  + 2A

Equating coefficients, we have

(A + B) = 0

2A  =  4  →   A  = 2

So  ( A + B) = 0

2 + B  = 0 → B =  - 2

So....

4  / [x (x + 2) ]  =  2 / x   -  2 / [x + 2]

25%  = .25  = 1/4  ...so..

360 * (1/4)  = 90 L

x - 3 = -1+ 4  

x - 3  = 3     add 3 to both sides

x  = 6

9y  = 81    divide by 9

y =  81 / 9   = 9

60mph = 88 ft / s

So

x / 65  = 88 / 60       cross-multiply

60x  = 88 * 65     divide by  60

x  = [ 88 * 65 ] / 60   ≈    95.333  ft / s