Swap x and y, f^-1 is and solve for y to get f^-1 the inverse of f. f(f^-1)=f^-1(f)=x is the identity as a check
f(2)=3*2+1=7 (2,7)
f^-1(7)=2 (7,2)
Answer:
In standard form,
5004300. Five Millon four thousand and three hundred.
The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.
To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.
The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.
The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.
The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.
Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.
The key word here that you see is "about". Which means it is close but not exact. So when his teacher said that a liter is about .473 and his parents said it was "about" .5, you were rounding or estimating. .473, rounded to the nearest tenths is .5. Because "73" in .473 is closer to .5 or .500 than it is to .4 or .400.
