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Maksim231197 [3]
3 years ago
15

Find the inverse function of y=3x-7

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7 .

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Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What
Anna35 [415]

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

3 0
3 years ago
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
3 years ago
Please help answer this(:
liubo4ka [24]
Ur answer is c hope this helps
4 0
3 years ago
Read 2 more answers
What are the domain and range of the function y=2 sqrt 3x+4-5?
alexgriva [62]
3x + 4  cannot be negative because of the square root so

3x + 4 >= 0   and x >=  -4/3  This is the domain (answer)

The range-
 when x = -4/3  y = -5  The range is y>= -5 answer

In interval notation domain = [-4/3, ∞) and range = [-5, ∞)
4 0
3 years ago
Read 2 more answers
Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
Jet001 [13]

The Geometric Sequence Formula:

a_n=a_1r^{n-1}

We have:

a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...

d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4

Substitute:

a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n

7 0
3 years ago
Read 2 more answers
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