Answer:
Step-by-step explanation:
Essentially, begin by flipping the x and y terms:
x = (1 - 2y)^2 + 5
Then, solve for y:

Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.
Let u = x², then we would have u² + 5u - 6 = 0
From here, we can factor it and get us (u-1)(u+6) = 0
So our solution for u is u = -6 or 1.
Now substitute u back to x².
x² = -6 or 1
x = ±√(-6) or ±√1
Since ±√(-6) is not real number, we ignore it.
Which leave us x = ±√1 = <span>±1
So our real solution is x = -1 or 1.</span>
Let the temperature at 10am be x, then
x + 8 = 56
x = 56 - 8 = 48 degrees F
Let y be the temperature at 8am, then
y - 2 = 48
y = 48 + 2 = 50 degrees.
Solution:
The three powers whose value is greater than 500 and less than 550 can be find by following procedure.
We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.
23²= 529
8³ = 8 × 8 × 8 =512

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.