Answer:

Step-by-step explanation:


Answer:
See below
Step-by-step explanation:
1. Given
2. Given
3. Definition of supplementary angles (add up to 180)
4. Substitution Property (substitute 112 in for angle 1)
5. Subtraction Property (subtract 112 from both sides)
<span>solve <span><span>3≤−3x+6<15</span><span>3≤−3x+6<15</span></span></span>
Answer: (−3,1](−3,1]
<span>Approximate Form: <span><span>(<span>−3,1</span>]</span></span></span>
Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:

And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

Find the common difference by subtracting the first term from the second:

Distribute:

Combine like terms. Hence:

The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

To find the 13th term, let <em>n</em> = 13. Hence:

Simplify:

The 13th term is 81<em>x</em> + 59.
Answer:
x≤-3 1/2 or x>1
Step-by-step explanation:
The way we solve this is we simply rearrange the equation using algebra.
Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.
Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.