Note the slope intercept form: y = mx + b, in which m = slope
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides
-3x (+3x) + 6y = (+3x) + 12
6y = 3x + 12
Fully isolate the y. Divide 6 from both sides (and to all terms)
(6y)/6 = (3x + 12)/6
y = (3x)/6 + (12)/6
Simplify
y = (1/2)x + 2
y = 0.5x + 2 is your equation.
The slope is direclty left of the x (or the m variable). In this case, it is 0.5
0.5 is your answer (or 1/2 if wanted in fraction form)
~
Answer:
percents to decimals
a) .02 b) .79 c) 1.35
Step-by-step explanation:
for converting percents to decimals you always move the decimal over to the left 2 times
Divide both sides by 5, and the result is: x=30.
X is 30.
See picture for steps and answer
Answer: ![a_n=2(5)^{n-2}](https://tex.z-dn.net/?f=a_n%3D2%285%29%5E%7Bn-2%7D)
<u>Step-by-step explanation:</u>
The explicit rule for a geometric sequence is: ![a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D%5Cquad%20%5Ctext%7Bwhere%7D%5C%20a_1%5C%20%5Ctext%7Bis%20the%20first%20term%20and%20r%20is%20the%20ratio%7D)
The information provided is: a₁ =
and r = 5
![a_n=\dfrac{2}{5}(5)^{n - 1}\\\\.\quad = 2(5)^{n-2}](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac%7B2%7D%7B5%7D%285%29%5E%7Bn%20-%201%7D%5C%5C%5C%5C.%5Cquad%20%3D%202%285%29%5E%7Bn-2%7D)