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Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer:

5 7

Step-by-step explanation:

Keith_Richards [23]3 years ago

4 0

Answer:

2 and 4

Step-by-step explanation:

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How do you solve a system of linear equations by graphing?

Sergeeva-Olga [200]

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

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3 years ago

A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat

Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

First, we need to calculate the daily growth rate:

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

Now, by using the following formula, we can determine the population p in any given day t:

FV(p)= PV*(1 + g)^t

For, example after 7 days:

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

For example, after 10 days:

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

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3 years ago

What’s the distance formula

Whitepunk [10]

Step-by-step explanation:

$\text{Let}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2).\ \text{Then the distance between}\ A\ \text{and}\ B\ \text{is:}\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y1)^2}\\\\Example:\\\\A(2,\ 5),\ B(-1,\ 1)\\\\|AB|=\sqrt{(-1-2)^2+(1-5)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$