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Rainbow [258]
3 years ago
9

Which equation has the solution x = 3?

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

2x + 4 = 10 = x =3

Step-by-step explanation:

09 - 31 = 0  (the variable x is not present in the given system)

0 +5=6  (the variable x is not present in the given system)

2x + 4 = 10  = x = 3

09-1=4  (the variable x is not present in the given system)

51 - 7 = 1  (the variable x is not present in the given system)

3x + 1 = 9 = x = 8/3

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Given the data shown below, which of the following is the best prediction for
Soloha48 [4]

Answer:

The best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

Step-by-step explanation:

Year     Population

1              11,920

2              16,800

3              23,300

4              33,000

5             45,750

6             64,000

y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)

Substitute the values

11920=A _0 e ^{k}  ---1\\16800 = A_0 e^{2k} ---2

Divide 1 and 2

\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238

The exponential function that passes through the points (1, 11920) and (2, 16800) isy=8457.5238 e^{0.3432t}

Now we are supposed to find  the best prediction for  the number of years it will take for the population to reach 200,000

200000=8457.5238 e^{0.3432t}

\frac{200000}{8457.5238}=e^{0.3432t}

ln(\frac{200000}{8457.5238})=0.3432t

t = 9.41

Hence the best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

6 0
4 years ago
There are 28 marbles in the box. There are 12 red marbles, 10 blue marbles, and 6 yellow marbles. What percent of the marbles ar
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Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

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nataly862011 [7]

Answer:

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Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

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