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3 years ago

Write an inequality to represent the graph.

Mathematics

1 answer:

Westkost [7]3 years ago

8 0

Answer:

y ≥ −4x − 2

Step-by-step explanation:

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Multiply (x + 3)(x – 3).

lyudmila [28]

B would be correct the -3 x and 3 x cancel out

7 0

3 years ago

Read 2 more answers

Which of the following is a list of all the possible outcomes with 2 or 3 heads?

Galina-37 [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

4 0

3 years ago

What is mean, median, mode,and range.

Alex17521 [72]

Mean is the same as the average
median is the middle number
mode is the number that is used most often
range is the highest number minus the lowest number

example :
2,3,3,5,7

u find the mean by adding up all the numbers, then dividing by how many numbers there are. (2 + 3 + 3 + 5 + 7) / 5 = 20/5 = 4 (the mean)

the median would be the middle number, and that would be 3

the mode would be the number that appears the most..that would be 3 because it appears twice.

the range is the highest - lowest : 7 - 2 = 5 (the range)...bur dont get this confused by the interquartile range..it is not the same as the range.

3 0

3 years ago

When you SWITCH the HYPOTHESIS and the CONCLUSION you create the _________ statement.

Gekata [30.6K]

Answer:

CONVERSE

Step-by-step explanation:

When you switch hypothesis and conclusion you are creating what is called the CONVERSE statement.

8 0

3 years ago