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aleksklad [387]
3 years ago
8

The table lists several points that form a line on a coordinate plane.

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

Slope is 1/4 (0.25) while y-intercept is 5

Step-by-step explanation:

Here, we are interested in getting the y intercept and slope of the line joining the given points.

We can get the slope by using any two points

Let’s say (4,6) and (12,8)

Mathematically; slope

= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25

To get the y-intercept, we proceed

kindly recall that the equation of a straight line is;

y = mx + c

where m is the slope and c is the y-intercept

Let’s take any of the points (28,12)

Thus:

12 = 0.25(28) + c

12 = 7 + c

c = 12-7

c = 5

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
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Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

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The initial population and increase rate are, respectively:

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A = 1200

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r \approx 1.091

The exponential model that predicts the population of rabbits is:

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3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 56<br> +<br> 32<br> =
valentina_108 [34]

Answer:

8 * (7 + 4)

See process below

Step-by-step explanation:

We start by writing each number in PRIME factor form:

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32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

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56 = 8 * 7

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We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

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8 * (7 + 4)

8 * (11)

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Its incribed angle theorem

Step-by-step explanation:

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Answer:

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