The doorstop is a triangular prism. volume of the triangular prism is the area of the base times the height
area of the base: 1/2 * 10*6=30cm²
height: 2.5cm
Volume: 30cm²*2.5cm=75cm³
weight: 75cm³*8.6g/cm³=645 grams
Answer: f⁻¹(x)=2x-6
Step-by-step explanation:
To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.
y=1/2x+3 [replace y with x and x with y]
x=1/2y+3 [subtract both sides by 3]
x-3=1/2y [multiply both sides by 2]
y=2(x-3) [distribute]
y=2x-6
Now, we know the inverse function is f⁻¹(x)=2x-6.
1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.
2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.
3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.
Hope this helps!! :)
Answer:
y = 7x - 2
Step-by-step explanation:
Answer:
9.29 acres
Step-by-step explanation:
2 2/7 = 15/7
4 1/3 = 13/3
(15/7) * (13/3) = 195/21 = 9.29 acres