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2 years ago

A town doubles its size every 8 years. If the population is currently 2,000, what will the

Mathematics

1 answer:

Semmy [17]2 years ago

8 0

Answer:

8,000

Step-by-step explanation:

First there's 2,000 and if they double every 8 years. That means in the first 8 years it will double into 4,000. Lastly, the next 8 years it would double into the population being 8,000.

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) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

2 years ago

Please help me with this question!!!!!

amm1812

Answer:

B. $H(x)=-.008(x-82)^{2}+83$

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

The black line goes higher and farther,

meaning it is correct.

The red line goes farther but not higher.

So it is incorrect

Again the blue line does not go farther of higher.

So its wrong.

Thus,

answer choice B. $H(x)=-.008(x-82)^{2}+83$ is correct.

Hope this helps :)

3 0

3 years ago

Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution?

Dovator [93]

Y = x + 7
y = -2x - 11

x + 7 = -2x - 11
3x + 7 = -11
3x = -18
x = -6

The x-coordinate of the solution is -6.

I have attached a graph of the two equations since the question really wanted you to graph it and then find the answer.

7 0

3 years ago

The number of employees at a company

AURORKA [14]

Answer:

This company loses about 12 employees a year

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use distributive property to create an equivalent expression to 7x + 56

OverLord2011 [107]

You will have to factor this equation. This means you have to find the lowest number that goes into both 7 and 56 (in other terms, gcf(7, 56)). You will put that as the leading coefficient in this factored term. gcf(7,56) = 7 so 7 will be leading coefficient. It will look somewhat like this 7(a + b) (a and b are just random variables representing what will go inside the parentheses). a and b can be determined by dividing each term in this expression by 7. Hence,
7x + 56 = 7(x + 8).This can obviously also be proven by the distributive property.

7 0

2 years ago

Read 2 more answers