Answer:
54 three- point field goals
Step-by-step explanation:
184 points = <em>x </em>free throws and 3<em>y </em> three-point field goals
x= 22 free throws, each one is 1 point
184 - 22 = 162
162 ÷ 3 = 54
54=y
54 three point field goals
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2

Dividing both sides by 47

The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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It's a linear function. We need only two points to draw a graph.
We choose any values of x and calculate the value of y.

for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)
for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)

for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)
for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)