No because in 1/3 you get 2/6 so if you have 1/3 vs. 5/6 than you only have 1/3 containing 2/6 and we are looking for 5/6 so that is wrong. 5/6 is bigger that 1/3.
7/8 = 21/24
1/6 = 4/24
21/4 = 5.25 round to 5 because there's no 0.25 recipe
So she can make her recipe 5 times. Hope this helped!!
Rmember (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)this is just alot of busy work
find f+g first then find f-g
f+g=(x-4)/(x+9)+(x-9)/(x+4)
make denomenator the same
multiply left one by (x+4)/(x+4) and right one by (x+9)/(x+9)
[(x-4)(x+4)]/[(x+9)(x+4)]+[(x-9)(x+9)]/[(x+9)(x+4)]
[x²-16]/[(x+9)(x+4)]+[x²-81]/[(x+9)(x+4)]
[x²+x²-16-81]/[(x+9)(x+4)]
[2x²-97]/[(x+9)(x+4)]
now f-g
[x²-16]/[(x+9)(x+4)]-[x²-81]/[(x+9)(x+4)]
[x²-x²-16+81]/[(x+9)(x+4)]
[65]/[(x+9)(x+4)]
now we got
invert and multiply
2nd option
This is a <u>rotation</u> of 180 degrees about the origin.
h(t) = -16t^2 + vt + 5
h(3) = 131 ft
h(3) = -16(3)^2 + 3v + 5 = 131
3v = 270
v = 90 ft/s