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3 years ago

What is the domain of y=-2x+6

Mathematics

2 answers:

earnstyle [38]3 years ago

8 0

Answer:

See below

Step-by-step explanation:

$y=f(x)=-2x+6$

Once by definition, the domain is all the possible inputs of the function, when it is defined, for the function $f$ the domain is all real numbers.

$Dom(f) = \mathbb{R} = (-\infty, \infty )$

On the other hand, for example, the domain of tangent is

$Dom(tan) = \left\{x: x\neq \dfrac{\pi}{2} + k\pi, k\in\mathbb{Z} \right\}$

Because the tangent function is undefined for $\dfrac{\pi}{2} + k\pi, k\in\mathbb{Z}$

The domain of tangent can also be written as

$\bigcup_{k=-\infty}^{\infty} \left( \dfrac{(2k+1)\pi}{2}, \dfrac{(2k+3)\pi}{2} \right)$

seropon [69]3 years ago

6 0

Answer: Explanation: y=−2x+6 => equation of straight line in slope-intercept form: Since a line extends infinitely in both directions, its domain and the range are all the real numbers.

What is the Domain and Range of y = -2x + 6? | Socratic

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An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

For Carton the dimensions are:

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

2 years ago

Let I (x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet,"

FrozenT [24]

Answer:

Step-by-step explanation:

L(x) means that Student X has an internet connection

C(x,y) means that students X and Y have chatted over the internet

The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:

(A) Jerry does not have an internet connection

L(x) = 0

Where X represents Jerry

(B) Rachel has not chatted over the internet with Chelsea

C(x,y) = 0

Where X and Y represent Rachel and Chelsea

L(x) + L(y) = 0

Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!

(D) No one in the class has chatted with Bob

Let Y represent Bob and X1, X2, ..., Xn represent everyone else in the class.

The value of Y is not significant here (because it is raised to the power of zero and that makes it equal to 1 and when 1 is multiplied by any X value, the X value or student remains the same) but we have to put it, to represent Bob.

The quantifier here is C (X1Y°, X2Y°, X3Y°, ..., XnY°)

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4 years ago

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Harlamova29_29 [7]

Answer:

Function 1 is linear

Step-by-step explanation:

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mart [117]

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Tpy6a [65]

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