Remember that if f and g are inverses of one another, then
f(g(x)) = g(f(x)) = x
1/2. Take a = 0 and b = 1 (or any non-zero number) so that
f(x) = x + 0/1 ⇒ f(x) = x
If g is to be an inverse of f, we need
g(f(x)) = g(x) = x
so that c = 1 and d = 0.
3. With f(x) = x + a/b and g(x) = cx - d, we have
g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d
and of course, with a,b,c,d as before, we get g(f(x)) = x.
4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...
Answer:
x=7, y=-9
Step-by-step explanation:
-9x – 9y = 18
-9x - 5y = -18
Multiply the second equation by -1
9x + 5y = 18
Add this to the first equation to eliminate x
-9x – 9y = 18
9x + 5y = 18
---------------------------
-4y =36
Divide each side by -4
-4y/4 = 36/-4
y = -9
Now find x
-9x -9y = 18
-9(x) -9(-9) = 18
-9x +81 = 18
Subtract 81 from each side
-9x +81-81 =18-81
-9x =-63
Divide each side by -9
-9x/-9 = -63/-9
x=7
The problem statement describes the dimensions. The base length is 15 ft; the height is 10 ft.
The area of a parallelogram is the product of base length and height, just as it is for a rectangle.
A = bh
A = (15 ft)(10 ft) = 150 ft²
Mr Morris should purchase 150 ft² of material.
_____
If you compare the area to a 15 ft by 10 ft rectangle, you see the "excess" triangle at the left end just matches the "missing" triangle at the right end. The A=bh formula still works even if the top and base are offset by more than the width of the base.
Answer:
x = -10
Step-by-step explanation:
Move all terms not containing x to the right side of the equation