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
First you would add the dog+puppy food. Then you would subtract the total amount of lbs of food from dog+puppy food. You would then be left with only the cat food.
50-19.75+18.875
50-38.625
= 11.375
The final answer: You would have 11.375 lbs of cat food.
Angle 1 is 45 degrees
Angle 2 is 45 degrees
Angle 3 is 235 degrees
In mathematics, two variables areproportional if there is always aconstant ratio between them. Theconstant is called the coefficient ofproportionality or proportionality constant. ... x and y are directlyproportional if the ratio yx is constant.
In other words, the constant of proportionality is also the slope, **m**, rate of change, etc.
The two ratios that are equivalent to, 2:9 are 18:81 and 12:54. Hope it helps