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vagabundo [1.1K]
4 years ago
13

What are the discontinuities of the function f(x) = x^2+2x-8/12x+24?

Mathematics
1 answer:
Advocard [28]4 years ago
8 0
Factor the numerator and denominator of the function to find holes, vertical asymptotes, and horizontal asymptotes.
Numerator: (x - 2)(x + 4)
Denominator: 12(x + 2)
This would mean there is infinite discontinuity at x = -2 (the vertical asymptote).
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PLEASE HELP QUICK, WILL GIVE 30 POINTS!!!!!!!!!!!
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Answer:

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Step-by-step explanation:

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3 years ago
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In the table below, x represents the miles traveled and y represents the cost to travel by train.
Fudgin [204]

Answer:

2.25

Step-by-step explanation:

to find slope it is (y2-y1)/(x2-x1)

(15.25-8.50)/(5-2)

6.75/3

2.25 is the slope

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4 years ago
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A rectangle has a perimeter of 34 inches. the length is 7 inches longer than the width. the area of this rectangle is __________
SCORPION-xisa [38]
Let x inch be the width
x×2+(x+7)×2=34
2x+2x+14=34
4x=20
x=5
the length=5+7 i.e.12 inches
the width=5 inches
Area=5×12=60 inches
6 0
3 years ago
What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m
storchak [24]
Given:
height = 6m
chord = 20 m

We need to find the radius of the circle.

20 m = 2 √ [ 6m( 2 x radius - 6 m ) ] 
20 m / 2 = 2 √<span>[ 6m( 2 x radius - 6 m ) ] / 2 </span>
10 m = √<span> [ 6m( 2 x radius - 6 m ) ] </span>
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ² 
100 m²<span> = 6 m( 2 x radius - 6 m ) </span>
100 m²<span> = 12 m x radius - 36 sq m </span>
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m² 
136 m²<span> = 12 m x radius </span>
136 m²<span> / 12 m = 12 m x radius / 12 m </span>
<span>11.333 m = radius 
</span>
the area beneath an arc: 

<span>Area = r</span>²<span> x arc cosine [ ( r - h ) / r ] - ( r - h ) x </span>√<span>( 2 x r x h - h</span>²<span> ).
</span>
<span>r</span>²<span> = (11.333 m)</span>²<span> = 128.444 m</span>²<span> </span>
<span>r - h= 11.333 m - 6 m = 5.333 m </span>
<span>r * h = 11.333 m x 6 m = 68 m</span>²

<span>Area = 128.444 m</span>²<span> x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x </span>√<span>[ 2 x 68 m</span>²<span> - 36 m</span>²<span> ] </span>

<span>Area = 128.444 m</span>²<span> x arc cosine [ 0.4706 ] - 5.333 m x </span>√<span> [ 100m</span>²<span> ] </span>

<span>Area = 128.444 m</span>²<span> x 1.0808 radians - 5.333 m x 10 m </span>

<span>Area = 138.828 m</span>²<span> - 53.333 m</span>²<span> </span>

<span>Area = 85.4 m</span>²
6 0
4 years ago
A triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
ch4aika [34]

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

8 0
2 years ago
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