Answers:
Domain = [-3, 3]
Range = [-1, 2]
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Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that 
meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
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The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is 
which converts to the interval notation of [-1, 2]
Answer:
49 m³
Step-by-step explanation:
Volume used between August and November = 6287 - 6238
= 49 m³
Answer:
The price of the cell phone without the coupon= $500
Step-by-step explanation:
Step 1: Express discounted amount
The discounted amount can be expressed as a function of the original cost of the phone as follows;
D=r×A
where;
D=discounted amount
r=coupon rate
A=original price of the cell phone before the coupon
In our case;
r=45%=45/100=0.45
A=a
replacing;
Discounted amount=(0.45×a)=0.45 a
Step 2: Amount she pays up
Amount she pays=Original cost of cell phone-discounted amount
where;
Amount she pays= $275
original cost of cell phone=a
discounted amount=0.45 a
replacing;
$275=a-0.45 a
0.55 a=275
a=275/0.55
a=500
The price of the cell phone without the coupon= $500
Answer: Rafael is incorrect
Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.
Answer:
Average grade for this test = 1.85
Step-by-step explanation:
Given that number of students receiving respective grade scores are : 11, 18, 52, 13, 6
Then total number of students = 11 + 18 + 52 + 13 + 6 = 100
Sum score obtained by total students
= 11F + 18D + 52C + 13B + 6A
= 11(0) + 18(1) + 52(2) + 13(3) + 6(4)
= 0 + 18 + 104 + 39 + 24
= 185
Now average grade for this test is given by 185/100 = 1.85
Hence final answer is 1.85.
