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liq [111]
3 years ago
9

. Let f and ???? be the functions given by f(x) = x2 and ????(x) = x|x|.

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

let ????=g

g(x)=x|x|

if x<0,then |x|=-x

-67<0

|-67|=-(-67)=67

g(-67)=-67(67)=-67²

f(-67)=(-67)²=67²

f(-67)+g(-67)=67²-67²=0

In-s [12.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

let ????=g

g(x)=x|x|

if x<0,then |x|=-x

-67<0

|-67|=-(-67)=67

g(-67)=-67(67)=-67²

f(-67)=(-67)²=67²

f(-67)+g(-67)=67²-67²=0

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6 0
2 years ago
A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\&#10;a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\&#10; a_2 = 4a_1\\&#10; a_2 = 4(6)\\&#10; a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
3 years ago
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 √2 .
Tems11 [23]
Quick answer I don't think this has an answer.

If you take the cos-1(2 sqrt(2)) your calculator should have a fit. Let's check that out. Mine certainly does. So there is something wrong with the question. If there is something to add in please do it and I will it least put an answer in the comments. As it stands, nothing will work. 

If you put your calculator in radians, you will get an answer but it will not be anything resembling the choices you've listed.

If you meant sqrt(2) / 2 that would give 45o. Put it in your calculator like this 2 ^ 0.5 divided by 2 = 0.707
Cos - 1 (0.707) = 45



7 0
3 years ago
Read 2 more answers
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