The texas state legislature is composed of state senators and state representatives. the sum of the number of senators and representatives is 181. there are 119 more representatives than senators. how many senators and how many representatives make up the texas state legislature?

Step-by-step explanation:

s + r = 181

r = 119 + s

s + 119 + s = 181

2s + 119 = 181

2s = 181 - 119

2s = 62

s = 62/2

s = 31 <=== there are 31 senators

r = 119 + s

r = 119 + 31

r = 150 <=== there are 150 representatives

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step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: