Answer:
Step-by-step explanation:
Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.
10x = 15 and
x = 
If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:
Good. So the common ratio is 3/2. The formula for an explicit geometric formula is
where a1 is the first number in the sequence and r is the common ratio. Filling in:
Y= -7/4x - 11
My answer has to be 20 characters longkdmmwmmckkdmsnskckd
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
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Answer:
Slope -1/3
Y-Intersept (0,11)
Step-by-step explanation:
The slope can be found next to the x
and for the Y-intersept it is 11 in the y position of the cordinates and 0 is always on the x position. (x,y)
Answer:
(6,2)
Step-by-step explanation:
When solving a system of simultaneous equations, we want to see where the graphs intersect.
2x+5y =22 is the red line
x+y = 8 is the green line
They intersect at a point
The point is x=6 y=2
(6,2)
