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Varvara68 [4.7K]
3 years ago
8

Solve the system be either substitution or elimination 3x-5y=21 and 2x+y=1

Mathematics
2 answers:
hram777 [196]3 years ago
6 0

Answer:

x = 2, y = -3.

Step-by-step explanation:

3x - 5y = 21

2x + y = 1

We can use elimination by first multiply the second equation by 5:-

10x + 5y = 5  Now add this to the first equation:-

13x = 26

x = 2.

Now plug x = 2 anto the second equation to find y:-

2(2) + y = 1

y = 1 - 4 = -3.

IRISSAK [1]3 years ago
4 0

Answer:

(2,-3)

Step-by-step explanation:

I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.

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There are 50 deer in a particular
olchik [2.2K]

answered

There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents

the number of deer y in that forest after x months? Round to the nearest thousandth.

1

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dribeiro

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697 answers

561.4K people helped

Answer:

The expression that represents the number of deer in the forest is

y(x) = 50*(1.013)^x

Step-by-step explanation:

Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:

y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625

y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258

y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898

This keeps going as the time goes on, so we can model this growth with the equation:

y(x) = 50*(1 - 0.15/12)^(x)

y(x) = 50*(1.013)^x

8 0
3 years ago
Strawberries are $3.99 per pound. If a customer bought $30 worth, how many pounds did he buy? $
lubasha [3.4K]

Answer:

7.5

Step-by-step explanation:

Divide 30 by 3.99

  • 30/3.99=7.5
3 0
3 years ago
Yesterday, James sold $29 worth of cookies and chocolate at his store. He sells cookies for $5 a box, and chocolate for $2 a bar
MAXImum [283]

Answer:

he sold 4 boxes of cookies and 3 chocolate bars

Step-by-step explanation:

5+5+5+5 = 20  3+3+3 = 9 so add 20+9 = 29

8 0
3 years ago
How do I solve this problem
quester [9]
I think x equals 54


Hope this helps
4 0
3 years ago
A geologist examines 14 geological samples for iron concentration. The mean iron concentration for the sample data is 0.181 cc/c
kykrilka [37]

Answer:

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{0.0318}{\sqrt{14}} = 0.0140

The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

3 0
3 years ago
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