Answer:
Step-by-step explanation:
Domain: the set of all permissible input values. In this particular case, x cannot be -3, because that would cause division by zero. Thus, the domain is (-∞, -3) ∪ (-3,∞)
Range: the range consists of the set of all values of y that are possible. Looking at the parent function, y = 1/x, we see that the range of that function is (-∞, 0) ∪ (0,∞); in other words, y gets close to but never actually reaches zero. This is also true of y = -1 / (x + 3).
Thus, the desired range is (-∞, 0) ∪ (0,∞).
Answer:
x>2 and x<1
Step-by-step explanation:
first one:
6x+9-9>21-9
6x>12
6x÷6>12÷6
x>2
second one:
9x-5+5<4+5
9x<9
9x÷9<9÷9
x<1
Answer:
(B) a = 41%, b = 3%
Step-by-step explanation:
The result from the survey is given below:

The second table is given as:

Now, from the first table
Total Number of Respondents =116
Therefore:

Therefore:
a=41%
b=3%
The correct option is B.
Answer: -24.
Hope this helped you! :)
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Answer:
16
Step-by-step explanation:
The perpendicular diameter to the chord divides it into two congruent parts.
Since
we have that XT=TS.
Hence,
3b-1=b+5,
3b-b=5+1,
2b=6,
b=3.
So,
XT=3·3-1=9-1=8
TS=3+5=8
and
XS=XT+TS=8+8=16.