Show that if the field $k$ is generated over $f$ by the elements $\alpha_1,\dots,\alpha_n$ then an automorphism $\sigma$ of $k$ fixing $f$ is uniquely determined by $\sigma(\alpha_1),\dots,\sigma(\alp ha_n)$. in particular, show that an automorphism fixes $k$ if and only if it fixes a set of generators for $k$

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

d

step-by-step explanation:

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.