Answer:
x = - 4
Step-by-step explanation:
Given
8x - 3 = 5(2x + 1) ← distribute
8x - 3 = 10x + 5 ( subtract 10x from both sides )
- 2x - 3 = 5 ( add 3 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(36 - 21) / (15 - 10)
15/5
= 3
Next, plug the slope and a point into the equation y = mx + b to find b (y-int)
y = mx + b
21 = 3(10) + b
21 = 30 + b
-9 = b
Then, plug this into the equation, as well as the slope:
y = 3x - 9
1.23e-4 is the same as 1.23 * 10^-4
So, 2.36e6 would be your answer
Answer:
an = n -27
Step-by-step explanation:
The general term (an) of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
Your sequence has a first term of a1 = -26 and a common difference of d = 1. Putting these values into the formula gives ...
an = -26 + 1(n -1)
This can be simplified to ...
an = n - 27
