For the given function, the domain is D : { x ≥ 7} and the range is R: { y ≥ 9}
<h3>
How to get the domain and range?</h3>
Here we have a square root, remember that the argument of the square root must be equal or larger than zero, so the domain is such that:
x - 7 ≥ 0.
Solving for x we get:
x ≥ 0 + 7
Then the domain is:
x ≥ 7
To get the range, we evaluate in the minimum of the domain:
f(7) = √(7 - 7) + 9 = 9
Then the range is the set of all values larger than 9, because the function is increasing.
So the range is R: y ≥ 9.
If you want to learn more about domain and range:
brainly.com/question/10197594
#SPJ1
the difference between a full jug and a jug that is half full will give us the weight of the marbles only in a half full jug:
4 - 2.6 = 1.4 kg
In a half full jug that weighs 2.6 kg, the weight of the marbles is 1.4 kg
the weight of the jug = 2.6 - 1.4 = 1.2 kg
Answer:
The study is an observational study.
Step-by-step explanation:
Observational study: In research methods, the term "observational study" is determined as one of the different studies that are being conducted by the researchers to observe or study the effects of a specific risk factor, treatment, diagnostic test, or some other intervention in the absence of an effort to change which participants are being exposed and which is not being exposed to it.
Types: Cohort study and case-control study.
In the question above, the given statement represents the observational study.
Answer:
Step-by-step explanation:
1. Area of a parallelogram = base * height
area = 10 * 4 = 40 in squared
perimeter = 2(a + b)
perimeter = 2 * (5 + 10) = 2 * 15 = 30in
2. Area of triangle = 1/2 * base * height
area = 1/2 * 21 * 8 = 84 cm squared
perimeter = sum of outer perimeters
perimeter= 10cm + 17cm + 21cm = 48cm
3. area of trapezium = 1/2 * (a+b) * h
area = 1/2 * (6+12) * 4 = 36ft squared
perimeter = sum of outer perimeters
perimeter = 5ft + 6ft + 12ft + 5ft = 28ft
