2π^2=19.7392088 to 20 since 19.7392088 is closer to 20.
Kate will travel 8 feet backwards
Answer:
The one you are on, f(x+2)+4
Step-by-step explanation:
First, we can see by the 0 point that it is just moved up by 4 and not left or right any, so we want to see how it has changed without the +4.
in g(x) the x changes by two, 0 to 2, and the y changes by one, 4 to 5.
Hopefully you can tell what the function being manipulated is. It is x^3 so if we write that instead of f(x) in the answers the first one for instance would be (x/3)^3-4. (let me know if that doesn't make sense)
SInce we already know it's being moved up by 4, we know it's one of those with +4 at the end. It's easy enough to guess and check, but the process to find the answer is pretty easy. We also know that at 2, the change is 1. So without the +4 at the end, what would let us change 8 to 1? dividing it by 8, which is also 2^3. so that means (2/2)^3. So the answer is we want f(x/2) witht he +4 at the end.
Hopefully that made sense, I'd be happy to explain further if you need though
x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
