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stepan [7]
2 years ago
11

What is the inverse of f(x)=2x-6

Mathematics
1 answer:
saveliy_v [14]2 years ago
7 0

Answer:

The inverse is 1/2x +3

Step-by-step explanation:

f(x) = 2x-6

y = 2x-6

Exchange x and y

x =2y-6

Solve for y

x+6 =2y

Divide by 2

1/2x +3 = y

The inverse is 1/2x +3

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
2 years ago
Jalen charges customers a flat fee of $30 to mow their grass plus $8.50 an hour for additional yard work. If Mr. Williams pays J
Elena-2011 [213]

Answer:

She spent 2 and a half hours doing extra work.

7 0
2 years ago
A bag contains 4 gold marbles, 5 silver marbles, and 29 black marbles. Someone offers to play this game: You randomly select one
kkurt [141]

Answer:

Step-by-step explanation:

you have a 29 of 38 chance at lossing

5 0
2 years ago
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
Zina [86]

Answer:

I think its A

Step-by-step explanation:

3 0
3 years ago
each month Kevin klog earns $1250 plus 0.8% of his sales last month his sales totaled $64,500. how much did Kevin earn?
Troyanec [42]


64, 500 x 0.8%=65,016.00.  He automatically earns $1250.00 a month

add the 65, 016.00 + 1250.00 and the answer would be 66 266.00

4 0
3 years ago
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