Ten less the quotient of a number and three
1 answer:
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Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
Let's plug in a few points to see which graph belongs to the function f(x) = 2x^2
Let's say x =0, let's find y!
2(0)^2 = 2(0) = 0
So one point on our line is (0.0)
Just finding this point right here eliminates 3 of the answer choices. Your answer is the graph that goes through the point (0,0)
For your added convenience, I have attached the graph. :)
Let's say x =0, let's find y!
2(0)^2 = 2(0) = 0
So one point on our line is (0.0)
Just finding this point right here eliminates 3 of the answer choices. Your answer is the graph that goes through the point (0,0)
For your added convenience, I have attached the graph. :)