Answer:
g(x) = x^2 + 4x + 4
Step-by-step explanation:
In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.
Given the function;
f(x) = x2 - 6x + 9
a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;
g(x) = f(x+5)
g(x) = (x+5)^2 - 6(x+5) + 9
g(x) = x^2 + 10x + 25 - 6x -30 + 9
g(x) = x^2 + 4x + 4
Answer:
Step-by-step explanation:
The new bike costs 180 dollars
Parents paid 40%
what is a percentage? per cent= divide by 100
parents paid 180 *40/100=180*0.4=72 dollars
Jennifer has to pay the rest
180-72=108
Answer:
Step-by-step explanation:
I'm not sure I know what the paper ball situation is, but I can tell you that especially when working with a set formula in physics, math or chemistry (I'd include biology if I knew any biology) that it is a good idea to write down your givens.
The equation you are given is going to fall apart once you know what your givens are and what they do.
I just looked up the Paper Ball Situation. This is a wonderful piece of physics. It immediately opened up all sorts of treasures once they experimenters thought of using tin foil. Givens are a necessity in such an experiment.
Answer:
9 is an rational number because it is a whole number
Step-by-step explanation:
Add 4/5 and 1/5 to make 5/5 or 1 mile the subtract 1 from 2 1/2 to equal 1 1/2 miles