Answer:
Step-by-step explanation:
<u>Functions
</u>
The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:
We need to find the first value of t such that
It means that
Operating with the inequality
Rearranging and dividing by 2, we have a polynomial inequality:
Factoring
There are two possible values for t, both valids because they are positive
We need to find the first value, i.e.
Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.
The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values
1.82 x 10^-6
When it is a negative number, you move the decimal to the left.
0.00000182
ednocrkdlwmqcw e9rbeuopgjkmr qoejffwkf ,rwfrwfjr nmwrfHELP ME iuehf[eoiffkjkmfeiufkwjmfwufuStep-by-step explanation:
Answer:
14 ft
Step-by-step explanation:
Let x represent the number of segments of the divided wood beam
Let y represent the total length of the wood beam.
Given that each segment measures 3.5, the equation to express this scenario is given as
y = 3.5x
Thus, to find the length of the wood beam, substitute x = 4 into the equation.
We would have:
y = 3.5(4)
y = 14
Length of the wood beam = 14 ft
The first thing we are going to do for this case is define variables.
We have then:
x: number of days
y: number of pages remaining.
We write the linear equation that models the problem:
The intersection with the vertical axis is:
We evaluate x = 0:
We get the point:
The intersection with the horizontal axis is:
We evaluate y = 0:
We get the point:
Answer:
The graph is:
Graph located in the bottom left.
