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MAVERICK [17]
3 years ago
10

What is the solution to the system of equations graphed below?

Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

Answer:

(-3,2)

Step-by-step explanation:

Likurg_2 [28]3 years ago
7 0

Answer:

The picture's not loading

Step-by-step explanation:

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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
maks197457 [2]

Answer:

The initial population P0 is 7500

Step-by-step explanation:

First of all, we are told that the population is proportional to time. This means that as time goes by, the population will increase. This type of relationship between two variables has the form of a linear equation expressed as:

y = mx + b,

where m is the slope of the curve and b is the intercept of it.

In this case we can state the following equation:

P = mt + P0

Where P is the population at a certain time "t", "m" is the slope of the curve, "t" is the time (this is the independent variable) and P0 is the intercept of the curve and represents the initial population.

Once we state the equation, let's see what we know:

If t = 0, then P = P0

If t = 3, then P = 12000 just as we are told

and if t = 5, then P = 2 P0 because after five years the population has doubled compared to the initial population (P0).

From the definition of the slope of the curve:

(Y2 - Y1)/(X2-X1) = m

and using the data described before we can formulate the slope value:

m = (2P0 - P0)/(5-0)

m = (2P0 - P0)/5

m = P0/5

Then, let's replace the value of m in the following equation:

P = mt + P0

12000 = (P0/5) × 3 + P0 → This is the equation presented when 3 years has gone by and we now have a population of 12000.

12000 = (3/5) P0 + P0

12000 = (8/5) P0

12000×5/8 = P0 = 7500

Then we can calculate the value of the slope m:

m = P0/5

m = 7500/5 = 1500

Now, knowing the value of m and the initial population P0 we are able to calculate the population at any value of "t".

6 0
3 years ago
Approximately how many degrees are in the measure of an interior angle of a regular seven sided polygon
kramer
The interior angle of a regular polygon is equal to each other since all sides of the polygon are congruent. The formula that expresses the relation of the sides of the polygon and the measurement of the interior angle is (n2)*180/n where n is 7. Each interior angle then measures 128.6 degrees.
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3 years ago
The high school band learns 3 new songs every 2 weeks for the home football games. Write an
kirza4 [7]

Answer:

1.5w = s

Step-by-step explanation:

4 0
3 years ago
Abby has 12 quarters in her piggy bank. Estimate how many cents she has by rounding the number of quarters to the nearest ten.
DanielleElmas [232]

Answer:

ayyy was good boo

8 0
3 years ago
Suppose there are 8 blue, 4 green, 11 yellow, and 7 red buttons in a bag. If you randomly pick out one button, what is the proba
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11/29 i believe. Cuz you add them all together and get 29 and then red and green added together is 11 
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