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3 years ago

Solve the system by graphing.

Mathematics

2 answers:

suter [353]3 years ago

8 0

Answer: Option A. The solution set is (4,5)

Step-by-step explanation:

Solve the equation for<em> </em>y to obtain the form of the equation of the line.

You have:

y=-x+9 (The slope is -1 and the y-intercept is 9)

y=x+1 (The slope is 1 and the y-intercept is 1)

When you graph it you obtain the graph shown in the figure attached.

The solution is the intersection of the lines.

Then, the solution set is (4,5)

Iteru [2.4K]3 years ago

8 0

Answer:

Choice A is correct answer.

(4,5)

Step-by-step explanation:

We have given a system of equations.

x+y = 9 eq(1)

x-y = -1 eq(2)

We have to solve given system of equations by graphing.

From eq(1) ,

y = -x+9

slope = -1 and y- intercept is 9.

Frpm eq(2) ,

y = x+1

slope = 1 and y-intercept = 1

We have to draw given equation on graph.

From attachment , see the intersection point of equations.

(4,5) is intersection point which is our solution.

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In 2010, the population of a town was 8500. The population decreased by 4.5% each year.

Soloha48 [4]

Answer:

This is a problem in exponential decay.

a) If a town's population decreases by 4.5% every year that also means that the town's population decreases by a factor of .955 each year. (1 - .045 = .955)

So, after 5 years, the town's population is:

8,500 * .955^5 which equals 6,752.

So, basically, after t years, the town's population equals

8,500 * .955^t where t is the number of years that have passed since the year 2010.

b) population = 8,500 * .955 ^ (number of years since 2010)

7,000 / 8,500 = .955 ^ (number of years since 2010)

0.8235294118 = .955 ^ (number of years since 2010)

To solve for (number of years since 2010) we take logs of both sides

log (0.8235294118 ) = number of years since 2010 * log(.955)

-0.0843208857 = number of years since 2010 * -0.0199966284

-0.0843208857 / -0.0199966284 = number of years since 2010

4.2167551422 = number of years since 2010

So, population = 7,000 when the year is 2014.2167551422

Or about 2.6 months into 2014

(YES, it's just that "easy") LOL

Step-by-step explanation:

6 0

2 years ago

Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are

777dan777 [17]

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

7 0

3 years ago

I need help in math ;pmdjew2kedfheyuwikejhuwiqo

Licemer1 [7]

Answer:

30/343

Step-by-step explanation:

to find the volume of a rectangle you multiply all three fraction

5/7*3/7*2/7

5/7*3/7=15/49

15/49*2/7=30/343

30/343

5 0

3 years ago

Simplify expressions using the distributive property

Zarrin [17]

9x + 27
-2y + 20
4x - 24
30x + 12xy
15x + 2 (?)

~ I’m not sure abt the last one! I’m sorry if they’re incorrect and I hoped this helps! ~

6 0

2 years ago

Read 2 more answers

Express 11.11 as a mixed number.

Nookie1986 [14]

11.11

The '11' before the decimal point is our whole number.

We can write 11 hundredths as 11 over 100.

11/100

So we have:

11 11/100

5 0

3 years ago

Read 2 more answers