1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astra-53 [7]
3 years ago
6

Write a function rule that represents the situation.

Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

i will

Step-by-step explanation:

You might be interested in
Fraction for dividing 4 pies equally between 6 people
spin [16.1K]
The answer is 1 1/2 because if you divide 4 into 6 you get I need and a half or 1.5
3 0
3 years ago
If f(x)=x^3-x+2, then (f^-1)'(2)
yawa3891 [41]

Note that f(x) as given is <em>not</em> invertible. By definition of inverse function,

f\left(f^{-1}(x)\right) = x

\implies f^{-1}(x)^3 - f^{-1}(x) + 2 = x

which is a cubic polynomial in f^{-1}(x) 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,

\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}

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 \left(f^{-1}\right)'(2) 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, ∞)

6 0
2 years ago
When building a chair, a carpenter uses 2 pounds of wood and 4 ounces of glue. If the Carpenter has 8 pounds of wood and 6 ounce
Novay_Z [31]

Answer:

He can build ...

... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))

... = min(floor(6/4), floor(12/6))

... = min(1, 2) = 1

The carpenter can build ...

... e. one chair

Step-by-step explanation:

5 0
3 years ago
Find the product. (a^3b)^2 • 4ab3
elena-14-01-66 [18.8K]
(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3
6 0
3 years ago
If the sales tax rate is 7.6%, how much sales tax will you pay on a $330 item?
stira [4]

Answer:

If the sales tax rate is 7.6%, how much sales tax will you pay on a $330 item?

Step-by-step explanation:

If the sales tax rate is 7.6%, how much sales tax will you pay on a $330 item?

4 0
3 years ago
Read 2 more answers
Other questions:
  • Is x+3 a factor of x^4-2x^3-15x^2-14x-12
    11·1 answer
  • Match each function with the corresponding function formula when h(x) = 2 – 2x and g(x) = –2 x + 2.
    15·1 answer
  • Flying to Kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112km/h while flying bac
    12·1 answer
  • Calvin is mixing colored gravel for the bottom of his fish tank. He mixes 12 pounds of blue gravel with 3 pounds of purple grave
    5·1 answer
  • Which types of polygons are the faces of a dodecahedron?
    5·2 answers
  • What is f(3)?<br> f(x)=(3x^2 +9)/x+1
    6·2 answers
  • Pani Natalia kupiła 30 kg jabłek za 75 zł i 16 kg ogórków za 104 zł. Oddała sąsiadce 2/5 (dwie piąte) jabłek i 2/5 ogórków. Jaka
    14·1 answer
  • On a map, the distance between Dallas, TX and Memphis, TN is 57.5 cm. What is the actual distance if the map scale is 1 cm:8 mi.
    10·1 answer
  • A number b minus 4.2 is less than -7.5
    6·1 answer
  • H(x) = 5х+2.0х 3 - 45х-180х.<br> factor the polynomial
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!