Andy and Samantha are performing an experiment in a science lab. The number of bacteria cells recorded by Andy in his experiment
is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 6x + 5
The number of bacteria cells recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 2^x + 3
Using graphing technology, complete the statements.
After answer hours, the total number of bacteria cells for both experiments will be the same.
The total number of bacteria cells at that hour will be answer .
B = 6x + 5
The number of bacteria cells recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 2^x + 3
Using graphing technology, complete the statements.
After answer hours, the total number of bacteria cells for both experiments will be the same.
The total number of bacteria cells at that hour will be answer .
2 answers:
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Answer:
Step-by-step explanation:
<h3>Arithmetic sequence:</h3>
6th term is 14 ⇒
a + (6 - 1)d = 14
a + 5d = 14 --------------(I)
14th term is 6 ⇒
a + (14-1)d = 6
a + 13d = 6 ----------------(II)
Subtract equation (II) from equation(I)
(I) a + 5d = 14
(II) a + 13d = 6
<u>- - -</u>
-8d = 8
d = 8 ÷(-8)
Plugin d = -1 in equation (I)
a + 5(-1) = 14
a -5 = 14
a = 14 + 5
20th term:
= 19 - 19
Answer:
Explanation:
Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.
Here slope: 3/2 and y-intercept: -5
Parallel slope has the same tangent slope.
Pass through point (x, y) = (6, 3)
Equation:
6 sec can take penny to strike the ground.
Solution:
Given data:
feet
feet
Re-arrange the terms from greatest degree to smallest degree.
We can solve it by applying quadratic formula,
Here a = –16, b = 48, c = 288
Now, write find two t's using plus and minus operation.
t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.