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>
Answer:
The lower the volume, the higher the pressure.
Step-by-step explanation:
Volume and pressure are inverse to each other -- so the more pressure, the less volume, and vice versa. Think of it like this: if you were squished into a tiny room, there would be a lot of pressure on you, and not a lot of volume to move in!
You can also think of it numerically. The higher the V in that equation (the higher the denominator) the lower the p in the equation.
Sine = (opposite)/(hypotenuse)
5 is the opposite (opposite of the hypotenuse)
13 is the hypotenuse (longest side)
5/13, or <span>5 ÷ 13 is your answer
hope this helps</span>
Today 30 pounds would get you $36.57 dollars
