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:
D
Step-by-step explanation:
Remember that the formula for the area of a rectangle is:
Where l is the our length and w is our width.
If we increase our length by 20%, this means that we add 20% or 0.2 of our old length to our old length. So, our new length will be:
Combine like terms:
Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:
Combine like terms:
Therefore, our new area will be:
Substitute 1.2l and 1.1w. This yields:
Multiply:
Our old area is:
So, our area increased by a factor of 1.32.
This is the same as 32% of our old area.
So, our answer is D.
And we're done!
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
Supplementary angles add up to 180°
Angle y is the large angle: y= 5x+6
180= x+y
180= (5x+6) + x
180=6x+6
174=6x
x=29
180= y+29
y=151°
Answer:
2
Step-by-step explanation:
F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation
F(3) = -2(3) + 3
= -3
F(4) = -2(4) + 3
= -5
- 3 -(-5) = 2