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A truck travels 278 miles each day.

How far does the truck travel in 1 day  ?  278 miles

How far does the truck travel in 2 days?  278 miles  +  278 miles

How far does the truck travel in 3 days?  278 miles  +  278 miles  +  278 miles   =   3 * 278 miles

How far does the truck travel in 4 days?  4 * 278 miles

So....how far does the truck travel in 25 days?

Here is option one:

f(x)  =  (x - 1)(x - 3)(x - 5)  =  (x - 1)(x² - 8x + 15)  =  x³ - 9x² + 23x - 15

f(x)  =  x³ - 9x² + 23x - 15

We can multiply the previous polynomial by any number and the resulting polynomial will have the same zeros....I picked  -2. Here is option two:

f(x)  =  -2(x - 1)(x - 3)(x - 5)  =  -2(x³ - 9x² + 23x - 15)  =  -2x³ + 18x² - 46x + 30

f(x)  =  -2x³ + 18x² - 46x + 30

Yep, you got it!! 

Here is another one:

The 72° angle and angle a form a straight line.

72° + angle a  =  180º     →     angle a  =  180° - 72°  =  108°

The 72° angle and angle b are vertical angles, so they have the same measure.

angle b  =  72°

Angle a and angle c are vertical angles, so they have the same measure.

angle c  =  angle a  =  108°

The measures of the other three angles are  108°, 72°, and 108° .

You almost have it!

\(7c\sqrt{3c^2}\,=\,7c\sqrt3\sqrt{c^2} \,=\,7c\sqrt3\,*\,c \,=\,7c^2\sqrt3\)          

Don't wait up for me!! I never really learned how to do these "sum" things!!

g(x)  =  x² + 5x             Plug in  n  for  x .

g(n)  =  n² + 5n

    3[ g(n) ]                    Substitute  n² + 5n  in for  g(n)  .

=  3[ n² + 5n ]              Distribute the  3  to each term in parenthesees.

=  3n² + 15n

3[ g(n) ]  =  3n² + 15n

Hahaha!! It was easy once I tried adding them together!

For example...a shirt that is size  3  in country  A  is size  3 + 1 = 4  in country  B .

A shirt that is size  4  in country  B  is size  4 - 4 = 0  in country  C .

So... a shirt that is size  3  in country  A  is size  0  in country  C .

A shirt that is size  x  in country  A  is size  (x + 1) - 4  in country  C .

f(x)  =  t( s(x) )  =  t( x + 1 )  =  (x + 1) - 4  =  x - 3

f(x)  =  x - 3