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2 years ago

What are the domain and range of the function below?

Mathematics

1 answer:

alexdok [17]2 years ago

5 0

Answer:

Step-by-step explanation:

the graphic does not indicate any limitation in any form in any direction.

compared to a default y = x function this function is just shifted a bit. but that does not block x or y from "running" all the way from -infinity to +infinity.

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Please help me asap

ra1l [238]

Answer:

B.) is the answer bro I got the same test bro like just trust me and give me 5 start and like and give a heart

3 0

3 years ago

When a bactericide is added to a nutrient broth in which bacteria are growing, the bacteria population continues to grow for a

baherus [9]

Answer:

a) 1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t is given by:

$b(t) = 9^6 + 6^4t-6^3t^2$

We differentiate the given function.

Thus, the growth rate is given by:

$\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t$

a) Growth rates at t = 0 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}$

b) Growth rates at t = 3 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}$

c) Growth rates at t = 6 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=6}= 6^4-2(6^3)(6) = -1296\text{ bacteria per hour}$

3 0

3 years ago

What is 6.30054 rounded to the nearest thousandth

gregori [183]

I believe it’s 6.30050

7 0

3 years ago

The number of minutes taken for a chemical reaction if f(t,x). it depends on the temperature t degrees celcius, and the quantity

tatiyna

Hello,

Just for the fun, it's been a long time for that.

$f(30,5)=50\\

f(t+3,x)=f(t,x)-5\ ==\textgreater \dfrac{f(t+3,x)-f(t,x)}{3}= -\frac{5}{3} \\

f(t,x+2)=f(t,x)-3\ ==\textgreater\dfrac{f(t,x+2)-f(t,x)}{2}= -\frac{3}{2} \\

f(t+\Delta t,\Delta x)=f(f,t)+ \dfrac{\partial{f(t,x)}}{\partial{t}} *\Delta t+ \dfrac{\partial{f(t,x)}}{\partial{x}} *\Delta x\\

f(33,4)\approx f(30,5)- \dfrac{5}{3} *3-\dfrac{3}{2}*(-1)= 50- 5+1.5=46.5\\


$

6 0

3 years ago

A jar contains 4 red marbles, 3 green marbles, 2 white marbles, and 1 purple marble. You randomly grab 5 marbles. Of the groups

Fiesta28 [93]

Answer:

126

Step-by-step explanation:

To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.

How many marbles is there in total? 4 + 3 + 2 + 1 = 10

We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.

We have to pick 4 out of those 9.... so, it's simple combination calculation:

C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126

Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).

6 0

3 years ago