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3 years ago

Graph each piecewise function. Then identify the properties.

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

7 0

Answer:

Domain: (-∞, 0] U (0, ∞): All real numbers.

Range: (-∞, ∞)

Step-by-step explanation:

This function is composed of two polynomial functions, a quadratic whose domain is all real numbers and a negative slope whose domain is all real numbers.

Observe in the attached graph that the function is continuous for the whole domain, it does not have any jump. In addition, the parabolic function comes from ∞, then it has a minimum value in y = 1 it grows up to y = 4. Finally it joins with the equation of the line and it extends to -∞.

Then we can conclude that for this piecewise function:

Domain: (-∞, 0] U (0, ∞): All real numbers.

Range: (-∞, ∞)

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oscar bought some markers notebooks and packs of sticky notes for his office he bought the same number of markers as notebooks h

s2008m [1.1K]

The number of each kind of office supply oscar bought is = markers= (43.2 - 4.2y)/3 notebooks = (43.2-3x)/4.2, sticky notes = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3.

<h3>Calculation of total office supply</h3>

The number of markers he bought = X

The number of notebooks he bought= y

The number of sticky notes he bought= z= 3 + X+y

The amount he paid for markers = $1.05*X

The amount he paid for notebooks = $2.25*y

The amount he paid for sticky notes= $1.95 (3 + X+y)

The total amount he paid is = $49.05

That is;

$49.05 = $1.05x + $2.25y + $1.95 (3 + X+y)

$49.05 = $1.05x + $2.25y + $5.85 + $1.95x + $1.95y

$49.05 - $5.85 = 3x + 4.2y

$43.2 = 3x + 4.2y

Make X the subject of formula,

3x = 43.2 - 4.2y

X = (43.2 - 4.2y)/3

y= (43.2-3x)/4.2

z = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3

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2 years ago

Pls help i will mark brainliest!:) thank you!;D

pashok25 [27]

<h2>ANSWER</h2>

Here the two points given on the graph A and B

To find : The distance in between the two points we know distance in between two point on a graph 

= 

 $\sqrt{ {(x2 - x1)}^{2} } + \sqrt{ {(y2 - y1)}^{2} }$ 

The Point A = (0,0)

The point B = (3,6)

so the distance in between points A and B 

 $\sqrt{ {(0 - 0)}^{2} } + \sqrt{ {(6 - 3)}^{2} }$ 

 $\sqrt{ {3}^{2} }$ 

 $3$ 

So 3.0 is the distance

Hope it helps

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3 years ago

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Gnoma [55]

If she shot her average she would make 30 out of 50 shots (AKA 60%)
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3 years ago

Read 2 more answers

Which is the graph of F(x)= (x+3)(x-2)

KonstantinChe [14]

Answer:

Vertex: (-1/2, -25/4)

Focus: (-1/2, -6)

Axis of Symmetry: x=-1/2

Directrix: y=-13/2

Step-by-step explanation:

x = -2, -1, -1/2, 1, 2