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3 years ago

3x + y = -2 x = 2 - y

Mathematics

1 answer:

andrezito [222]3 years ago

5 0

Answer:

$y = 4 \\ x = - 2$

Step-by-step explanation:

$3(2 - y) + y = - 2 \\ 6 - 2y = - 2 \\ 2y = 8 \\ y = 4 \\ \\ x = 2 - 4 \\ x = - 2$

I hope that uesful for u :)

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The initial size of the population is 300. After 1 day the population has grown to 800. Estimate the population after 6 days. (R

Cloud [144]

Solution :

Given initial population = 300

Final population after 1 day = 800

Number of days = 6

∴ $\frac{dP}{dt} =kt^{1/2}$

P(0) = 300 P(1) = 300

We need to find P(8).

$dP = kt^{1/2} dt$

$\int 1 dP = \int kt^{1/2} dt$

$P(t) = k \left(\frac{t^{3/2}}{3/2}\right)+c$

$P(t)= \frac{2k}{3}t^{3/2} + c$

When P(0) = 300

$300 = \frac{2k}{3} (0)^{3/2} + c$

∴ c = 300

∴ $P(t)= \frac{2k}{3}t^{3/2} + 300$

When P(1) = 800

$800 = \frac{2k}{3} (1)^{3/2} + 300$

$500 = \frac{2k}{3}$

∴ k = 750

$P(t)= 500t^{3/2} + 300$

So, P(8) is

$P(t)= 500(8)^{3/2} + 300$

= 11,614

So the population becomes 11,614 after 8 days.

8 0

3 years ago

ch4aika [34]

Answer:

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3 years ago

a salesperson sells 3 pairs of these shoes that are wich are 189$ all together. he makes a commission of 17% on each sell how mu

jekas [21]

We first determine the cost of one pair, that is:

$c=\frac{189}{3}\Rightarrow c=63$

So, each pair of shoes cost $63.Now, we determine the value of the commission:

$v=\frac{63\cdot17}{100}\Rightarrow v=10.71$

So, the commission for each pair of shoes is $10.71, now we multiply this by 3 times. That is:

$10.71\cdot3=32.13$

So, the commission for the three pairs of shoes will give him $32.13.

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2 years ago

Use the substitution method to solve the system of equations. choose the correct ordered pair.

slamgirl [31]

Answer:

Step-by-step explanation:

Since both equations express y in terms of x, equate the right sides

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

substitute x = 10 into either of the 2 equations for y

y = - 2x + 11 = - 20 + 11 = - 9

solution is (10, - 9) → D

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4 years ago

Read 2 more answers

Graph the line by locating any two ordered pairs that satisfy the equation y = 1/4x+1

Tom [10]

How I would do it is place a point at 1 then go up 1 over 4 because of your slope 1/4. Same as for going down except down 1 over 4. Hope this helped:)

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4 years ago

3x + y = -2 x = 2 - y​

3x + y = -2 x = 2 - y