CPhill

EW is correct...a literal equation usually involves several variables....we are not trying to find a numerical answer...rather....we are using the equation to (usually) solve for a variable

A.  not an equation

B. We can find a numerical  value for x....so...not literal

C. this is an identity

D is literal.....we can use it to  solve for either x or y

There's nothing to solve...

This is just the formula for the volume of a cylinder

Scond one....this is a little tricky !!!

Note that :

measure of angle WXZ +measure of angle  WXY = 180

(5x + 36) + WXY = 180

WXY = 180 - 5x - 36

WXY =  (144 - 5x)

And we can apply the Tangent Chord Theorem  that says that

2 * measure of angle WXY =  measure of  arc WX

And arc WX + arc WVX = 360

So we have 

2(144 - 5x) + (13x + 9)  = 360     simplify

288 - 10x + 13x + 9 = 360

297  + 3x = 360

3x = 63

x = 21

So....angle WXY =  ( 144 - 5(21) )   =  144 - 105  =  39°

First one....this is known as the Intersecting Chord Theorem

In this case

measure of angle BCF = (1/2)( sum of arcs ED + BF)   .....so we have

(11x - 9)  = (1/2) [ ( 9x - 3) + (15x - 39) ]      multiply both sides by 2

2(11x - 9)  =  (9x - 3) + (15x - 39 )        simplify

22x - 18 =  24x - 42         add 42 to both sides, subtract 22x from both sides

24 = 2x 

12 = x

So.......arc  ED  =  9(12) - 3   =  105°

Notice that when x = 3   and x = 7    then f(x) = g(x)

So....those are the solutions

10x+16 ≥  6x+20      subtract   6x, 16 from both sides

4x ≥ 4         divide both sides by 4

x ≥ 1

Second one......can be solved with a sum of differences

1         5          12            22           35

      4         7            10           13

            3           3           3

We have 2 non-ero rows....so.... will have a 2nd power polynomial     ax^2 + bx + c

a     +   b   +    c  = 1      (1)

4a   +  2b   +   c =   5      (2)

9a   +  3b    +  c   = 12    (3)

Subtract (1) from (2)       and  (1) from (3)

3a + b = 4   ⇒   -6a - 2b  = -8     (4)

8a  +2b = 11  (5)

Add (4) and (5)

2a = 3

a = 3/2

3(3/2) + b = 4

9/2 + b =4

b = 4 = 9/2

b = -1/2

3/2  - (1/2) + c = 1

1 + c = 1

c = 0

So....the generating function is

(3/2)x^2 - (1/2)x

So...the 100th term is

(3/2)(100)^2 - (1/2)(100) =

14,950

Good answers , HL and EW  !!!!

54-10x ≤ 20+7x       add 10x to both sides, subtract 20 from both sides

34  ≤  17x               divide both sides by   17

2 ≤  x

C = (5/9) (F - 32)     multiply both sides by 9/5

(9/5)C = F - 32   add 32 to both sides

(9/5)C  + 32 = F