Answer:
Gavin uses more rope.
Step-by-step explanation:
Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.
Answer:
M=15
Explanation:
I’m guessing you meant to write
m/5+3(m-1)/2=2(m-3)
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer:
The home printer is faster.
Step-by-step explanation:
25 photos in 12.5 minutes
12.5 is half of 25 and therefore this is a two to one ratio.
So 2 photos print in 1 minute with the office printer.
And 4 photos in 2 minutes(this is relevant later)
The home printer prints 15 photos in 6 minutes. Since 15 is not divisible by 6 without a remainder divide both by 3.
So 5 photos in 2 minutes. This is faster than the office printer.
To find how many photos it would print in 12 more minutes, simply multiply 15 by two, since the minutes(6) was multiplied by 2 to get 12. This leaves you with an answer of 30 photos in 12 minutes
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
