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2 years ago

Solve the system of linear equations by elimination X + 3Y =5 -x -y = -3

Mathematics

1 answer:

zmey [24]2 years ago

7 0

Answer:

(2,2)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask

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starting in 2000 what is estimated population and annual growth rate of 19,169,000 at 0.6% for 2025 not sure how to do this

charle [14.2K]

Answer:

The estimated population in 2025 will be 22261221.

Step-by-step explanation:

Let us assume that the annual growth rate is compounded annually on the population.

Now, in 2000, the population was 19169000 and the annual growth rate is 0.6%, the the population in the year 2025 will be given by

$19169000(1 + \frac{0.6}{100} )^{25} = 22261220.7$ ≈ 22261221

Therefore, the estimated population in 2025 will be 22261221. ( Answer )

8 0

3 years ago

The sum of two numbers is 72 and their difference is 40. Using elimination method

d1i1m1o1n [39]

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

---------------

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:

3 0

2 years ago

Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o

katrin2010 [14]

Answer:

$y=2(x+6)^2+7$

$(-6,7)$

Step-by-step explanation:

$y=2x^2+24x+79$

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

$y=(2x^2+24x)+79$

Factor out the coefficient of the quadratic term,

$y=2(x^2+12x)+79$

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

$y=2(x^2+12x+36-36)+79$

Simplify,

$y=2(x^2+12x+36)+79+(2)(-36)$

$y=2(x+6)^2+79-72$

$y=2(x+6)^2+7$

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

$(-6,7)$

7 0

2 years ago

A cicular pool with a radius of 12 meter if filled with water to a depth of 3 meters. what is the weight of water in the swimmin

Tcecarenko [31]

The weight of water in swimming pool is 13305600kg

5 0

2 years ago

Please help and thank you

mamaluj [8]

Answer:

Step-by-step explanation:

a is defined first as 5. So a = 5.

b is defined after the circle b = -2

a^2 = 5^2 = 25

B^4 =(- 2)^4 = 16

Therefore sqrt(a^2 * b^4) = sqrt(25 * 16) = sqrt(400) = 20

The answer is C

5 0

2 years ago

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