Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
Answer:
x= -12
Step-by-step explanation:
Simplifying
4x + 10 = 2x + -14
Reorder the terms:
10 + 4x = 2x + -14
Reorder the terms:
10 + 4x = -14 + 2x
Solving
10 + 4x = -14 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
10 + 4x + -2x = -14 + 2x + -2x
Combine like terms: 4x + -2x = 2x
10 + 2x = -14 + 2x + -2x
Combine like terms: 2x + -2x = 0
10 + 2x = -14 + 0
10 + 2x = -14
Add '-10' to each side of the equation.
10 + -10 + 2x = -14 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = -14 + -10
2x = -14 + -10
Combine like terms: -14 + -10 = -24
2x = -24
Divide each side by '2'.
x = -12
Simplifying
x = -12
The probability of randomly drawing either a red marble or a green marble is 80%
The probability of drawing a green marble is the same as the probability of drawing either a red or a blue marble.
3 out of 4
<em>Have a great night!</em>
Answer:
-1
Step-by-step explanation:
You can do this two ways, the easiest way is to look at the graph.
What is g(4) means: When the x value equals 4, what does y equal?
Look for the coordinate with the x-value of 4 (it's asking for g(4). Now if you look at the y-value of the coordinate, it should tell you what g(4) is. So since the coordinate is (4,-1), g(4) is -1.
Another way to do it is to plug in 4 for x in the equation. So...
g(4) = -[f(4) - 3)]
g(4) = -[4 - 3]
g(4) = -[1]
g(4) = -1
