Find the common ratio r for the geometric sequence, and use r to find the next 3 terms n 1, 2, 3, 4, 5, 6, 7 f(n) 1,4,16,64
mote1985 [20]
Divide the given terms:
4/1 = 4
16/4 = 4
64/16 = 4
R = 4
The next term is the previous term multiplied by 4.
64 x 4 = 256
256 x 4 = 1024
1024 x 4 = 4096
The next three terms are: 256, 1024, 4096
We are given the system of equations -:
Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.
Expand 3 in the expression so we can combine like terms and isolate x-variable.
Then combine like terms.
Get rid of 66 from the left side by subtracting both sides by itself.
To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.
Simplify to the simplest form.
Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.
Answer
I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!
The x-intercept is 3 and the y-intercept is -2
The probability that you will wait for at most 5 seconds is 6.7%
<h3>How to determine the probability?</h3>
The given parameters are:
Green = 40
Yellow = 5
Red = 30
When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.
The probability is then calculated as:
P(Yellow) = 5/(40 + 5 + 30)
Evaluate
P(Yellow) = 6.7%
Hence, the probability that you will wait for at most 5 seconds is 6.7%
Read more about probability at:
brainly.com/question/15246027
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Answer:
9 cats
Step-by-step explanation:
x = cat
y = dog
Set up equations.
x + y = 30
4.5x + 8.5y = 219
Multiply first equation by 4.5 and subtract.
4.5x + 4.5y = 135
-(4.5x + 8.5y = 219)
-4y = -84
y = 21
Substitute this y value into the first equation
x + y = 30
x + 21 = 30
x = 9
