Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a re
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9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two linear equations:
y = 6x - b ..(1)
..(2)
From the second equation:
-6x + y = -6
After rearranging:
y = 6x - 6 ..(3)
On comparing equation (1) and (3)
b = 6
Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
Learn more about the linear equation here:
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