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3 years ago

What's the domain and range of f(x)=2/3x-3

Mathematics

1 answer:

arsen [322]3 years ago

5 0

D : x $\neq$ 1
R : y $\neq$ 0
as it is a hyperbola with discontinuities at x= 1 and y=0

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Prove each of these identities.

Stella [2.4K]

Answer:

Identity (a) can be re-written as

$sec x\ cosec x - cot x = tan x$

which we already proven in another question, while for idenity (b)

$(A)\frac 1 {sin x} -sin x = cos x \frac{cos x}{sin x}\\\\(B)\frac {1-sin^2x}{sin x} = \frac {cos^2x} {sin x} \\\\(C) \frac {cos^2x}{sin x} =\frac {cos^2x} {sin x}$

step A is simply expressing each function in terms of sine and cosine.

step B is adding the terms on the LHS while multiplying the one on RHS.

step C is replacing the term on the numerator with the equivalent from the pithagorean identity $cos^2x + sin^2x = 1$

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2 years ago

What is logic? Briefly explain how logic can be useful.

Andreyy89

Logic is a deceptive argument. It is useful in marketing products and creating advertisements

I think because logic is idea used from brain.

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2 years ago

Read 2 more answers

Convert the following to standard form y=2/5 x - 1/3

Afina-wow [57]

Given :-

y = 2/5x - 1/3

To Find :-

To convert the given equation into standard form.

Solution :-

As we know that the standard form of the line is ,

$\sf\longrightarrow$ ax + by + c = 0

So the given equation is ,

$\sf\longrightarrow$ y = 2/5x -1/3

$\sf\longrightarrow$ y = 6x - 5/15

$\sf\longrightarrow$ 15y = 6x - 5

$\sf\longrightarrow$ 6x -15y -5 = 0

Hence the required equation of the line is 6x -15y-5=0.

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2 years ago

One number is 3/8 of another number. The difference of the two numbers is 4.2. What is the lesser number

boyakko [2]

Answer:

2.52.

Step-by-step explanation:

If one number is x then the other = 3x/8.

Also x - 3x / 8 = 4.2

x - 0.375 x = 4.2

0.625x = 4.2

x = 4.2 / 0.625

x = 6.72.

So the lesser number is 6.72 * 0.375 = 2.52.

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2 years ago

A cylindrical water tank has a diameter of 4 m and a height of 3 m, while a water tank shaped like a rectangular prism has a len

katrin2010 [14]

The 1st one can vary more by 12 cubic meters

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2 years ago