Answer:
Domain: [2,∞)
Range: [0,∞)
Step-by-step explanation:
Domain are the values of <em>x</em> allowed for the function.
In this function, because we have a square root, we cannot have numbers in the domain such that the root contains a negative number, because the function would not be defined in real numbers.
Thus, the domain is:
Domain= x-2 ≥ 0
Domain = x ≥ 2
Or what is the same [2,∞)
And the range is the values that the function returns for every number in the domain. Since our domain is the values of x greater than or equal to two:
![f(2)=\sqrt{2-2}=\sqrt{0}=0\\f(3)=\sqrt{3-2}=\sqrt{1}=1\\f(4)=\sqrt{4-2}=\sqrt{2}\\f(5)=\sqrt{5-2}=\sqrt{3}\\f(6)=\sqrt{6-2}=\sqrt{4}=2\\.\\.\\.\\.](https://tex.z-dn.net/?f=f%282%29%3D%5Csqrt%7B2-2%7D%3D%5Csqrt%7B0%7D%3D0%5C%5Cf%283%29%3D%5Csqrt%7B3-2%7D%3D%5Csqrt%7B1%7D%3D1%5C%5Cf%284%29%3D%5Csqrt%7B4-2%7D%3D%5Csqrt%7B2%7D%5C%5Cf%285%29%3D%5Csqrt%7B5-2%7D%3D%5Csqrt%7B3%7D%5C%5Cf%286%29%3D%5Csqrt%7B6-2%7D%3D%5Csqrt%7B4%7D%3D2%5C%5C.%5C%5C.%5C%5C.%5C%5C.)
We can see that the minimum value of y = f (x) is 0 and the greatest number that the function can return to us has no limit, so the range is:
Range: [0,∞)
Answer:
2.78
Step-by-step explanation:
50/18 = 2.7777778 -> 2.78
98 millimeter is 9.8 centimeters
12 centimeters is > greater than 9.8 centimeters.
Hope this helps. :)
Answer:
Step-by-step explanation:
The hardware store has 200 paintbrushes. They order 9 boxes with 12 paintbrushes each. This means that the total number of paintbrushes that was ordered is
12 × 9 = 108
Therefore, the total number of paintbrushes that the store has would be
200 + 108 = 308
They sell 11 boxes that have 6 paintbrushes each. This means that the total number of paintbrushes that they sold is
11 × 6 = 66
Therefore, the number of paintbrushes left would be
308 - 66 = 242
The manager's estimate is reasonable. They ordered about 120 paintbrushes and sold about 60 of them so they should have about 60 more paintbrushes than they started with.
Answer:
centre= (2,-3)
radius=2
equation= (x-2)^2+(y+3)^2= 4
Step-by-step explanation:
equation is found by the co-ordinates and the length of the radius
if the co-ordinates (2,-3)
x=2
y=-3
r= 2
so the equation will be like
=(x-2)^2+(y+3)^2=2^2
=(x-2)^2+(y+3)^2=4
Thankyou ^^