Answer:
x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12
Step-by-step explanation:
<em>Expand:</em>
x(2x + 3): 2x² + 3x
2x² + 3x + (x - 3) (x - 4)
<em>Expand</em>:
(x - 3) (x - 4): x²- 7x + 12
2x² + 3x + x²- 7x + 12
<em>Simplify:</em>
2x² + 3x + x² - 7x + 12: 3x² - 4x + 12
= 3x² - 4x +12
So there are 1.837 acres in 80,000 square feet, but if you need to simplified answer its 1.800 or 1.840
Answer:
Volume of a rectangular prism can be found with the equation
v = length × width × height
They are trying to trip you up a little bit here because they give 2 measurements in feet then the last in inches. So for your prism...
18 inches = 1.5 ft
v = l×w×h
v = 3×2×1.5
v = 9 ft^3
Answer:
J: x - 2y = -8
Step-by-step explanation:
All you have to do is plug in x or y as 0 for the y-intercept and the x-intercept, respectively. But, for these specific equations, looking at the constant when y isn't multiplied by any number but 1 will show the y-intercept. (e.g. 2x + y = -12, -12 is the y-intercept, 2x - y = -20 -> -2x + y = 20, 20 is the y-intercept)
F: y-intercept = -12 (incorrect)
G: y-intercept = 0 (incorrect)
H: y-intercept = 20 (incorrect)
J: y-intercept = 4 (correct)
Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth
