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Contact [7]
2 years ago
6

Solving systems of equations has been used consistently throughout this course in order to shed light on all kinds of different

situations, i.e. finding the intersection point of a system of linear equations, finding eigenvectors, etc. List at least two different types of problems that require solving a system of linear equations, explain how solving a system of linear equations is used, and what information can be learned from the solution.
Mathematics
1 answer:
Margarita [4]2 years ago
3 0

Answer:

Types of problems that require solving a system of linear equations are:

Calculation of mileage rate

Calculations of ages of children born to a family

Calculation of income over a range of period.

Step-by-step explanation:

Solving a system of linear equations have many real life applications. Many real life problems can be used to set up a system of linear equations.

The following are the steps:

Understand the problem

Break the problem down into parts and represent each part with unknown variables such as: X1, X2, X3,...

Combine the unknown variables mathematically, from the statements of the problem(That is, 2X1 + X2 - 6X3, X1 + 2X2 + 4X3,....)

The results of the solved linear equation system (after solving) will give the solution to the problem. The solutions to the real life problems can be learned by the nature, analysis, and relationship of the solutions of the system of the formed linear equation

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A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.
Natali [406]

Answer:

y+9 = - 9x +18

Step-by-step explanation:

Line is passing through the point (2,\: - 9) =(x_1,\:y_1) and has slope (m) = - 9

General equation of line in point slope form is given as:

y-y_1 = m(x-x_1)

Therefore

y-(-9) = - 9(x-2)

y+9 = - 9x +18

This is the required equation of line in point slope form.

4 0
3 years ago
Kenny’s height is 1 meter 75 centimeters. How tall is Kenny in millimeters? REMEMBER: 1 meter = 100 centimeters : 1 centimeter =
Serga [27]
If I did the math right the answer should be 1,750
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3 years ago
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A local donut shop sells a dozen donuts for $8.64 . At this rate , how much would 14 donuts cost ?
scoray [572]

Answer:

10.08

Step-by-step explanation:

8.64 divided by 12 is 0.72

then you multiply .72 by 14 and you get

10.08

3 0
3 years ago
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Fatima noticed that the distance from her house to the library, which is 40 miles , was one fifth the distance from her house to
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3 years ago
A cone with a height of 9 cm has a volume of 48π cm3. What is the radius of the cone? (The volume of a cone is given by the form
Harman [31]

Answer:

4cm

Step-by-step explanation:

given volume = 48πcm³

height = 9cm

r = ?

the formula for finding the  volume of a cone  = 1/3 πr²h

v = πr²h/3

make r" the subject of the formula

by cross multiplying,

3v = πr²h

divide both sides by  πh

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π cancels π

r = √144/9

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r = 4cm

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3 years ago
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