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dlinn [17]
2 years ago
14

-12x+3y=24 1) y= -4x + 8 2) y= 4x - 8 3) y= 4x + 8 4) y = -4x -8

Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
7 0
Here you go!! Hope this helps

MatroZZZ [7]2 years ago
7 0

-12x+3y=24

(get y alone on the left)

3y=12x+24

(divide by 3)

y= 4x+8

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Scenario: Two people in a major city with a population of 450,000 get infected with a rapidly spreading virus. If each day the i
zmey [24]

1) See attachment.

2) See attachment

3) y=2^{x+1}

4) 17.8 days

Step-by-step explanation:

1)

The table is in attachment.

In this problem, we are told that the initial number of people infected ad day zero is two, so the first row is (0,2).

Then, we are told that each day, an infected person infects 2 additional people. Therefore, at day 1, the number of infected people will be 2*2=4.

Then, each of the 4 persons infect 2 additional persons, so the number of infected people at day 2 will be 4*2=8.

Continuing the sequence, the following days the number of infected people will be:

8*2 = 16

16*2 = 32

32*2 = 64

2)

The graph representing the situation is shown in attachment.

On the x-axis, we have represented the day, from zero to 5.

On the y-axis, we have represented the number of infected people.

We see that the points on the graph are:

0, 2

1, 4

2, 8

3, 16

4, 32

5, 64

3)

Here we have to create a mathematics model (so, an equation) representing this scenario.

First of all, we notice that the number of infected people at day 0 is 2:

p(0)=2

To write an equation, we call x the number of the day; this means that at x = 0, the value of y (number of infected people) is 2:

y=2

Then, at day 1 (x=1), the number of infected people is doubled:

y(1)=2y(0)=2\cdot 2 = 4

And so on. This means that for each increase of x of 1 unit, the value of y doubles: so, we can represents the model as

y=2\cdot 2^x

Or

y=2^{x+1}

4)

Here we are told that the entire city has a population of

p = 450,000

people.

In order for the virus to infect the whole population, it means that the value of y must be equal to the total population:

y = 450,000

Substituting into the equation of the model, this means that

450,000 = 2^{x+1}

And solving for x, we find the number of days after which this will happen:

log_2(450,000)=x+1\\x=log_2(450,000)-1=17.8 d

So, after 17.8 days.

8 0
2 years ago
PLEASE HELP QUICKLY!!! i have no idea what i’m doing
denpristay [2]

Answer:54 degrees

Step-by-step explanation:

If u want to find non you subtract the degrees you already have so it's would be 80-34=54

4 0
2 years ago
Determine the sum of the first 9 terms in the geometric series where r = -0.25 and a1 = 256
Yuri [45]
The answer would ve B. -204.8 the sum
4 0
3 years ago
Read 2 more answers
Simplify (4.5)(5)(-2).<br> 45<br> 4.5<br> -4.5<br> -45
zalisa [80]

Answer:

-45

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
B. − 4 = 7 and − 4 + 4 = 7 + 4
daser333 [38]

Answeration:

they are both false

3 0
3 years ago
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