The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.
When dividing two fractions, it is important to know to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal means basically a flipped fraction. 2/3 as a reciprocal is 3/2, etc.
1/3 / 1/2= 1/3 x 2/1=2/3
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Define x :
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Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
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Formula for Perimeter :
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Perimeter = 2 (Length + Width)
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Find Width :
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58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
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Find Length and Width :
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Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
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Answer: The length is 21 ft and the width is 8 ft.
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The following are scores made on a math test. 80, 90, 90, 85, 60, 70, 75, 85, 90, 60, 80 What is the mode of these scores?
puteri [66]
Answer: 90
Step-by-step explanation: The mode is the number that appears most frequently in a data set.
Notice that the score 90 appears more than any other
number in the set.
This means that 90 is the mode.
It totally depends on speed at which train is moving.
If the speed of train is below 100 miles per hour the minimum distance maintained should be 4 feet.
If the speed of train is above 100 miles per hour and less than 125 miles per hour the minimum distance maintained should be 6.6 feet.(Approx)
As , when a train is moving with velocity more than this i.e above 125 miles per hour the minimum distance should be 15 feet.(Approximately)
Option (C) 15
