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PilotLPTM [1.2K]
4 years ago
14

Using the definition of an even function , show that y = - cos x is even

Mathematics
1 answer:
motikmotik4 years ago
5 0
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
 We have then:
 f (x) = - cos x
 f (-x) = - cos (-x)
 On the other hand:
 cos (-x) = cos x
 So:
 - cos (-x) = - cos x
 Therefore, it is fulfilled:
 f (- x) = f (x)
 Example:
 cos (pi / 2) = 0
 cos (-pi / 2) = 0
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photoshop1234 [79]
This is a fraction equal to
2 1 ÷ 4 8

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4

2 1 ÷ 4
4 8 ÷ 4
=
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6 0
3 years ago
SHOW YOUR WORK and ill give brainlest :)
vodka [1.7K]

Answer:$259

Step-by-step explanation:

since we need to increase $250 by 6%, it is useful to find one percent because 1% is easy to find

to find one percent of 250, we move the decimal point(we cant see it right now) from after the number to after 2 giving us 2.50. we need to do this to find one percent because 1% is the same as one HUNDREDth, and since 100 has two zeros, we move the decimal place two spaces.now that we know that 1% is $2.50 ( which is the same as $2.5) we can times that by six which gives us 6%(because one times 6 is 6) to multiply 2.5 by 6, we first multiply 6 by 2 which will give us 12 and then multiply it by 0.5 (because 2 + 0.5 =2.5) 0.5 multiplied by 6 is equal to 3 and 3 + 6 = 9. we know know that 6% of $250 is $9. we now just add 9 to 250 leaving us with $259

6 0
3 years ago
What is the prime factorization of 630
Kisachek [45]
630|2
315|3
105|3
35|5
7|7
1

630=2\cdot3^2\cdot5\cdot7

3 0
4 years ago
The height of the Empire State building is 1250 feet tall. Your friend ,who is 6 feet 3 inches tall, is standing nearby and cast
IgorLugansk [536]
75 inches / 33 inches : 1,250 / shadow

75 * shadow = 33 * 1,250

shadow = 41,250 / 75

shadow = 550 feet


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3 years ago
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skelet666 [1.2K]

Answer:

View picture for answer.

Step-by-step explanation:

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