Answer:
<em>1, 3, 5, 15</em>
Step-by-step explanation:
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 15: 1, 3, 5, 15
The common factors are written in bold.
Answer: 1, 3, 5, 15
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
Slope: rise over run, for any straight line. Example: y=mx + b
Constant of proportionality: a constant by which you multiply your independent variable (x) to get a specific value of the dependent variable (y). Example: y=kx.
The main difference here is that y=mx+b may or may not pass through the origin, whereas y=kx always passes through the origin.
Both k and m are "slopes," with k pertaining to direct variation y=kx, and m pertaining to slope of a line which may or may not pass through the origin.
In this limited sense, both k and x are slopes. k could be the slope of a straight line passing thru the origin, same as m, but m could not be the constant of proportionality if the line in question does not pass through the origin.
