Answer:
B. x≥-3
Step-by-step explanation:
To solve this problem, first you have to isolate it one one side of the equation.
First, multiply -1 from both sides.
(-9x)(-1)≥27(-1)
Solve.
27*-1=-27
9x≥-27
Next, divide by 9 from both sides.
9x/9≥-27/9
Then, solve.
-27/9=-3
Therefore, the correct answer is x≥-3.
Step-by-step explanation:


sqr root of 3
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:180
Step-by-step explanation:
The GCF of 30 and 49 is 1.
Steps to find GCF: <span><span>Find the prime factorization of 30
30 = 2 × 3 × 5 </span><span>Find the prime factorization of 49
49 = 7 × 7 </span><span>Multiply all the common factors obtained in steps i) and ii) above to find the GCF:
GCF = 1</span></span>