Answer:
[0, 6) ∪ [65, ∞)
Step-by-step explanation:
Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.
Ages 65 or older will be in the interval [65, ∞).
The union of these two intervals is ...
[0, 6) ∪ [65, ∞)
Answer:
the solutions are (3, 7) and (-1, -1)
Step-by-step explanation:
Insert the " = " symbol between the two equations, obtaining:
y = x^2 - 2 = y = 2x + 1
Then x^2 - 2 = 2x + 1, or
x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.
Thus, the x values that satisfy this system are {-1, 3}.
Use y = 2x + 1 to find the corresponding y values:
y = 2(-1) + 1 = -1
and
y = 2(3) + 1 = 7
Then the solutions are (3, 7) and (-1, -1)
Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have 



Here,
is the domain and
is the co-doamin.
Therefore, 
Now, OPTION A: 
Substitute x = 4. We get f(x) = 3
18.
So, OPTION A is rejected.
Similarly, OPTION B: 
Substitute x = 4. We get f(4) = 22
18.
It is rejected as well.
Now, for OPTION C: 
Substitute x = 4. We get f(4) = -3
18.
So, OPTION C is also rejected.
OPTION D: 
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.
14 - 16 is -2.
Hope this helped.