ElectricPavlov

1    at x = 5   f(x) = -2      

      at x = 9   f(x) = 14        from 5 to 9 is 4     from   -2 to 14  is  16     16/4 = 4 = average

Car 1 distance = 42 m/h  x 3.5 hr = 147 m

Car 2                = 50 m/h x 3 hr = 150 m

Now use pythagorean theorem     d = sqrt ( 147^2 + 150^2) = 210 miles

What about   f <= 11 1/4    lb

Here is my take

3 choices of patty     3    x

9 choices of condiment (I included NO condiment) = 9!

3 x 9! =.......

Here is a VERY similar post and answer....you should be able to apply the method to this Q for your answer.....

https://web2.0calc.com/questions/math-help-please_30

volume of sphere= 4/3  pi r^3     must equal volume of cone = 1/3  pi r^2 h

4/3 pi r^3  =  1/3 pi r^2 h         remove pi r^2 from both sides (r is equal in the ice cream sphere and the cone)

4/3 r = 1/3 h       multiply both sides by 3

4r=h

4(2.5) = h = 10 cm

cot ^2   + 1   =    1/sin^2

cos^2/sin^2  + 1  = 1/sin^2      sub in     sin^2 / sin^2   for  1

(cos^2   + sin^2)/sin^2 = 1/sin^2        see the numerator?   Remember   cos^2 + sin^2 = 1  ?

1/sin^2  = 1/sin^2  = csc^2

Can't have x as an integer multiple of 180 because   sin is zero at those points and denominator 0 not defined.

supplementary means they sum to 180^o

^{B + 9B =} 180

b = 18    a = 162

1/w  + 1/a = 1/5

1/8   + 1/a =1/ 5

1/a = 3/40

a = 40/3 hr = 13 1/3 hr

I assume the 'n' means 'not'

find A     color it in       find the intersection of  B and C    (B ∩ C)    color it in

everything not colored is the    n[A ∪ (B ∩ C)]