Original Equation: 4x - 2(x+1) = 3x + 10
Step 1: Use Distributive Property
4x - 2x - 2 = 3x + 10
Step 2: Combine Like Terms
2x - 2 = 3x + 10
Step 3: Solve
2x - 2 = 3x + 10
- 2x -2x
--------------------------------
-2 = x + 10
-10 -10
------------------------
-12 = x
Answer:
Take 16.28 x 8%. You get $1.30 so add 16.28 to 1.30 to get 19.58
Step-by-step explanation:
The answer is —2
Each number is multiplied by —2 to get the following number in the pattern
Hope this helps and good luck you can do thissss :)
Given:
Triangle
height 14 inches
area 245 inches square
Formula in finding the area of a triangle is:
Area = (height * base) / 2
The base is missing, so we need to compute its value using the given figures.
245 = (14 * b) / 2
245 * 2 = 14b
490 = 14b
490/14 = b
35 = b
The base is 35 inches.
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

Multiply both sides by <em>r</em> :

Subtract the latter sum from the first, which eliminates all but the first and last terms:

Solve for
:

Then as gets arbitrarily large, the term
will converge to 0, leaving us with

So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18