Answer:
domain: (-∞, ∞) ; range: [-5, 0]
Step-by-step explanation:
Let's begin with the basics:
The domain of cos x is (-∞, ∞); the range is [-1, 1].
The domain of cos²x is still (-∞, ∞).
Likewise, the domain of -5 cos²x is(-∞, ∞).
The range of cos²x differs: it is [0, 1] because squaring a negative number results in a positive output.
Multiplying cos²x by 5 expands the range to [0, 5].
Finally, multiplying 5 cos²x by -1 changes the range to [-5, 0].
Answer:
Step-by-step explanation:
the last one
Y=15000 e^(0.0175×t/12)
Y future value
15000 present value
E constant
1.75/100=0.0175 Interest rate
T time
12 number of months in a year
Hope it helps!
Answer:
X=-3
Step-by-step explanation:
8x+32=8
-32 -32
8x=-24
8x/8=-24/8
x=-3
Mangoes and orange =180
Total fruits will be =x
Total ratio=12
Finding number of bananas =3/12(x)
Total number of fruits = 180+3/12(x)=x
180(12)+3x=12x
2160=12x-3x
2160=9x
X=240
The number of fruits will be 240