Answer:
B. -6 does not belong to the domain but belongs to the range of f(x).
Step-by-step explanation:
We have the function, 
.
So, the domain of the function is obtained when 
i.e. 
That is, the domain is {x | x≥ 7}.
Now as we have,
→ → 
→ 
→ 
.
That is, 
Thus, the range of the function f(x) is {y | y≤ 1}.
Thus, we can see that,
-6 does not belong to the domain but belongs to the range of f(x).
Answer:
The value of f(5) is 3.2.
Step-by-step explanation:
It is given that f(1) = 3.2 and
Substitute x=1 in the above equation.
Substitute x=2 in the given equation.
Substitute x=3 in the given equation.
Substitute x=4 in the given equation.
Therefore the value of f(5) is 3.2.
Total shells Sandy had = 5
Shells Mageret got = 3
Balance of Seashells
5 - 3
2
Solution:
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.
First we make inequality according to question.
In a family number of children 3
Charge for 1 child = $y per hour
Charge for 3 children = 3y
Charge for 1 Adult = $x per hour
Charge for 2 adults = 2x
If the family does not want to s[end more than $30 an hour at health club.
Where, x and y should be greater than 0.
Now we make the graph of this inequality.
First we take equality of equation and then find x and y table.
2x+3y=30
x y
0 10
6 6
15 0
B can be eliminated, as 10x and 4x multiply to 40x^2, which is not in the expression.
The greatest common factor of all coefficients in the equation is 2. Divide all coefficients by 2 to get the following equation:
We will leave out this coefficient, 2, for now.
We'll need to find the factors of c:
c = -6
Factors of 6: {1,2,3,6}
The only factors in the answer choices that fit this are 2 and 3. D can be eliminated.
5x and 2x multiply to 10x^2. 5x and 2x also modify what b will equal. Use the answer choices A and C to find b:
A.
C.
Answer C comes up with the correct b value.
The answer is
C. 2(5x - 2)(2x + 3).
