Answer:
y = (1/12)x^2
Step-by-step explanation:
The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).
The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus. Here that distance is p = 3.
Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.
Answer:
<h2>46.5 DOLLARS WILL BE YOUR ANSWER .</h2>
Answer:
16380 mL or 16.380 L
Step-by-step explanation:
1 hot tub requires 105 mL of Acid
156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.
16380 / 1000 mL/L = 16.380 Liters.
Answer:
Step-by-step explanation:
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
