bqimath

All the same color = 5 ways

2 the same color and 2 different = 5C3*3*3 = 90ways

3 the same and one different = 5C2*2 = 20 ways

2 of one color and 2 of other = 5C2*2 =20ways

all colors different = 5C4*3*2= 30 ways

5+90+20+20+30 = 165 ways

Credits to melody

Ok, we can go one by one to solve these problems. 

However, let's note that if we have f(x) = x, we set the function's right side to equal x.

Then, we see if the x value satisfies the conditions given. 

First, we have \(f(x)=2x+8\). Setting this to equal x, we find that \(x=2x+8\)

Solving for x, we find that \(x=-8\). This doesn't satisfy the condition \(1 \le x\le 2\), so it is not a valid solution. 

Next, we have \(f(x)=13-5x\). Setting this to equal x, we have \(x=13-5x\)

Finding the value of x, we get \(x=13/6\). This satisfies the interval, so it is a solution. 

Third, we have \(f(x)=20-14x\). Since this equals x, we can write \(x=20-14x\)

Trying to find x, we have that \(x=4/3\). This does NOT satisfy the interval, so it is not a solution. 

Lastly, we have \(f(x)=40+5x\). setting this function to equal x, we have \(x=40+5x\)

Solving for x, we get \(x=-10\), which is invalid. 

Thus, the only value that works is 13/6. 

So our answer is 13/6. 

Thanks! 

Credits to notthatsmart

wall total area:15*60=900\(m^2\)

a foot=0.3048 meters

each gallon of paint => 400 sqft,

let's convert \(900m^2\)to feet first

Since 1 foot=0.3048 meters, 1 sqft =\(0.3048^2 \) square meters

which is about 0.09290304 square meters,

\(900m^2\)is about 9687.52

9687.52/400=24.2188 but we go to the next number since we need the smallest whole number of gallons:

25

So we know z+1/z=3

if we square that, we would get (z+1/z)^2=9

which can be simplified to z^2+2+1/z^2=9

z^2+1/z+2-2=9-2

z^2+1/z=9-2=7