When x=-2
f(x) =3(-2) -12 =-6-12=-18
When x=2
f(x) = 3(2)-12=6-12=-6
So For the domain (-2,2)
Range of the function f(x) is (-18,-6)
So (-18 ,-6). is your answer.
Hope it helps....
Regards,
Leukonov/Olegion.
Answer: pls mark me brainiest
Step-by-step explanation:
I am very sure that the answer is V≈351.86
Answer:
5000
Step-by-step explanation:
Given the question :
The size of debt after m months is respresented by the expression :
36,700 - (5000 + 500m)
Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.
Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,
Then the amount paid from his salary after a certain number of months will be:
Fixed amount × number of months = 500 × m
Amount paid using signing bonus will be a constant = 5000
Total debt amount = 36,700
Size of debt left after m months :
Total debt - ( signing bonus - fixed amount × m)
Hence signing bonus = 5000
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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Answer:
Length of the lake is 97.30 m
Step-by-step explanation:
We have given Caleb starts at one end of the lake and walk 95 m
So 
And then he turns at an angle of 60°
So 
and then again walk 8 m
So 
We have to fond the total length of the lake , that is d
Total length of the lake is given by 
So length of the lake is 97.30 m
