4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
This is a function since it passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the curve.
The domain is the set of numbers x such that x is between -3 and +3 excluding those endpoints. In other words, the domain is -3 < x < 3. We never actually get to either endpoint because of the vertical asymptotes.
The range is the set of all real numbers. It is possible to get any output we want depending on the specific input.
Answer:
It is Rational.
Step-by-step explanation:
Answer:
Neither. They both saw the same amount of birds.
Step-by-step explanation:
Gabrielle saw 9 birds, but so did Chase. 6+3 is 9. 3+6 is also 9. The commutative property of addition states that a+b=b+a.
Answer: Yes
Step-by-step explanation: To determine whether 7/3 is a rational number, remember all fractions either positive or negative are rational numbers.
Therefore, 7/3 is a rational number.
