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agasfer [191]
2 years ago
12

7 3 If you were to graph a line with a slope of 3/2 that intercepts the y-axis at -2 on the coordinate plane, one point on that

line would have a y coordinate of 4 with an x coordinate of what number?​
Mathematics
1 answer:
pychu [463]2 years ago
3 0

Answer:

4

Step-by-step explanation:

Make a graph.

Start at negative 2 because that's the y intercept. Remember that a minus sign in front of the y intercept just means it's negative.

The slope is basically the rise over the run. How much you go UP divided by how much you run. Since the slope is 3/2, we go up 3 and right 2.

Keep making points and you get 4

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$8000 at 3% annually for 4 years
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A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
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With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

p(m)=19.3(1089)^m

Most recently, the scientist counted 138 plants.

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Taking log both sides of the equation,

\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

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Answer:

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