Answer:
286 2/3 km
Step-by-step explanation:
Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to
3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.
Since distance = (rate)(time),
the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km
Answer:
X=57
Step-by-step explanation:
77+46+X=180
123+X=180
X=180-123
X=57
Answer:
191.5
Step-by-step 103.5 explanation:
295 x 0.35(which is 35%) = 103.5
295 - 103.5 = 191.5
hope this helps
Answer:
Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.
Step-by-step explanation:
Let's identify what we already know:
1) Sanchez has 300 acres of corn
2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.
So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:
300 acres x 6 fluid ounces = x
x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.
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, ∞)