I got 65 for my answer. Hope that helps!
1. 90 2. 8000 3. 500 4. 200,000
This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.
4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400
2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20
4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4
After the units you have to put the decimal point and all digits below it will be decimal values.
7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7
7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07
0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000
To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:
400+20+4+0.7+0.07+0.000
424.770
Note that f(x) as given is <em>not</em> invertible. By definition of inverse function,


which is a cubic polynomial in
with three distinct roots, so we could have three possible inverses, each valid over a subset of the domain of f(x).
Choose one of these inverses by restricting the domain of f(x) accordingly. Since a polynomial is monotonic between its extrema, we can determine where f(x) has its critical/turning points, then split the real line at these points.
f'(x) = 3x² - 1 = 0 ⇒ x = ±1/√3
So, we have three subsets over which f(x) can be considered invertible.
• (-∞, -1/√3)
• (-1/√3, 1/√3)
• (1/√3, ∞)
By the inverse function theorem,

where f(a) = b.
Solve f(x) = 2 for x :
x³ - x + 2 = 2
x³ - x = 0
x (x² - 1) = 0
x (x - 1) (x + 1) = 0
x = 0 or x = 1 or x = -1
Then
can be one of
• 1/f'(-1) = 1/2, if we restrict to (-∞, -1/√3);
• 1/f'(0) = -1, if we restrict to (-1/√3, 1/√3); or
• 1/f'(1) = 1/2, if we restrict to (1/√3, ∞)
Answer:
50.2 square cm
Step-by-step explanation:
Diameter = 8 cm
Radius = 8/2 = 4 cm
