Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by
Computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same
so
as
Thus, the nth term of the arithmetic sequence will be:
Therefore, option D is true.
Answer:
Range: 0.07
Median: 0.145
Mode: none
Step-by-step explanation:
<u>Range:</u> largest #- smallest #
<u>Median:</u> middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two
<u>Mode:</u> most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode
Answer:
x = 6
Step-by-step explanation:
Givens
There are 3 sides. All are equal to (4x - 3)
Their sum = 63
Formula
3(4x - 3) = 63
Solution
- 3(4x - 3) = 63 Divide by 3
- 12x - 9 = 63 Add 9 to both sides
- 12x = 63 + 9
- 12x = 72 Divide by 12
- x = 72/12
x = 6 Answer
We have to find midpoint M of the diagonal AC (or BD, there is no difference) so:
Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
