Answer: just had this problem! X = 11
a. - ∞ <_ x <_ ∞
b. - ∞ < x < ∞
c. - ∞ < f^-1(x) < ∞
d. - ∞ <_ f^-1(x) <_ ∞
please help and thank you!!
Here we have to use the fact that the domain of the function is equal to the range of the inverse function and range of the function is equal to the domain of the inverse function .
In the given question , the domain of the given function is given. So the range of the given option is same as the domain.
Therefore the correct option is c.
Answer:
2.65×10^5
Step-by-step explanation:
Answer:
Step-by-step explanation:
265000 can be rewritten as , since the decimal place moved 5 to the left. Hope this helps!
Answer: The coefficient before x^4 is 60
Step-by-step explanation:
Hey! So I am not an expert at this, but you have to use the binomial theorem
I have attached of the Pascals Triangle (one shows the row numbering as well)
Basically in a pascal triangle, you add the two numbers above it to get the next number below
As you can see, the rows start from 0 instead of 1
The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms
NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)
Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)
It would be 15 × 2^4 × (1/2)^2 = 60
The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power
Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)
Answer:
The first four terms of the sequence are: {-10,-23,-62,-179}
Step-by-step explanation:
Given recursive formula is:
First term = a1 = -10
The first term is already known. In order to find the next terms, we will put n=2,3,4 in the recursive formula.
Putting n=2
Putting n=3
Putting n=4
Hence,
The first four terms of the sequence are: {-10,-23,-62,-179}
To find the average of something you add up all of the data points (in this case it would be how many pounds offish were eaten per day but this is already done for us) then you would divide by the number of points you have (the number of days which is 31). So all you have to do is 2604/31. This equals 84 pounds of fish per day on average.
the dolphin ate
2604 lbs of fish in 31 days
this can also be written as
2604/31
we want the denominator to be 1, since the denominator represents days
to do this, we can divide 31 by 31. but we must do the same to the numerator
2604 ÷ 31 = 84
so our new fraction is
84/1
so per day, the dolphin ate 84 pounds of fish
Answer:
Scale = ¼
Step-by-step explanation:
See attachment for complete question.
In the attached, we have.
Width = 4 units. ----- Orange
Width = 16 units ------- Black
Required
Determine the scale of dilation
The scale of dilation can be calculated as:
Scale = Width(orange)/Width (black)
Scale = 4/16
Scale = ¼
Hence, the scale of dilation is ¼