Answer:
The solution set can be given as:
Step-by-step explanation:
Given function:
To find the domain of the function in set notation.
Solution:
For the function to exist the denominator must be ≠ 0
We have the denominator which cannot be = 0.
Thus, we can find the domain of the function using the above relation.
The function will not exist when:
Solving for
Subtracting both sides by 6.
Dividing both sides by 2.
∴
Thus, the function will not exist at . This means it has all real number solutions except -3.
The solution set can be given as:
2x - 3(x - 4) = 11
2x - 3x + 12 = 11
-1x = -1, x = 1
y = 1 - 4 = -3, y = -3
Solution: x = 1, y = -3
Answer:
True
Step-by-step explanation:
A number and its reciprocal have the same sign.
The cosecant is the reciprocal of the sine.
Therefore, the cosecant has the same sign as the sine.
Answer:
23 is the prime number
Step-by-step explanation:
let n, n + 2, n + 4 be the consecutive odd numbers, then
n + n + 2 + n + 4 = 69 ← simplify left side
3n + 6 = 69 ( subtract 6 from both sides )
3n = 63 ( divide both sides by 3 )
n = 21 , then
n + 2 = 21 + 2 = 23 and n + 4 = 21 + 4 = 25
The 3 numbers are 21, 23, 25 with prime number 23