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Firdavs [7]
2 years ago
5

The quotient of any two numbers, with the condition that the denominator is different from zero

Mathematics
1 answer:
elena-s [515]2 years ago
3 0

Answer:

The quotient of any two numbers can be written as:

A/B

such that:

A, B ∈ {R}

Where {R} is the set of all real numbers.

But we also have the restriction that the denominator, B in this case, must be different than zero.

So we can define the set:

{R \ {0}}

As the set of all the real numbers minus the element 0.

So in this set we do not have the number zero, so now we can write our expression as:

A/B

A ∈ {R}, B ∈ {R \ {0}}

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marysya [2.9K]
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3 0
3 years ago
Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?
Ratling [72]

Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

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3 years ago
The function f(x)=3g(x). Which of the following shows possible graphs of f(x) and g(x)?
alukav5142 [94]

Answer:

The answer was graph 2

Step-by-step explanation:

I am horrible at explaining but this is the answer

8 0
3 years ago
125+[-125]=? PLEASE HELP?!
elena55 [62]
The answer to this question is 0.

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6 0
3 years ago
Read 2 more answers
Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations
kati45 [8]

ANSWER

g(x) =   {(x + 5)}^{3}  + 4

EXPLANATION

Given the parent function:

f(x) =  {x}^{3}

If we shift the graph of f(x), 5 units to the left, then the new rule is

x \to \:  {(x + 5)}^{3}

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

x \to \:  {(x + 5)}^{3}  + 4

Or

g(x) =   {(x + 5)}^{3}  + 4

7 0
2 years ago
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