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Dovator [93]
3 years ago
7

Can someone explain this to me

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Let me start from taking equation in two dimensional plane

A x + B y= C

P x +Q y  = R

<u>For one Solution   </u>

⇒The two lines are intersecting at a single point.

\frac{A}{P} \neq \frac {B}{Q}\neq \frac{C}{R}

For example, x + y =4 and x - y=2

<u>For infinite solution</u>

⇒The two lines are Coincident.i.e one lies above the other.

For that,

\frac{A}{P} = \frac{B}{Q}=\frac{C}{R}

For example, x + y =3,and 3 x + 3 y =9

<u>For No solution</u>

It means the two lines are parallel i.e they will never intersect.

\frac{A}{P}=\frac{B}{Q}\neq\frac{C}{R}

For example, x + y = 11 and 7 x + 7 y = 11

Now consider equation in three dimensional system

Ax +By+Cz=P

Lx +My+Nz=Q

Tx +Uy+Vz=R

You can solve this system of equation by cramers rule or by any other method.

For example taking Cramers rule into consideration

x =\frac{D_{1}}{D}, y=\frac{D_{2}}{D},  z=\frac{D_{3}}{D}

For unique Solution or one solution

D ≠ 0

These three lines will intersect at a single point in a three dimensional plane.

x,y,z should have real number as a solution.for example, x=5,y=3,z=4 can be the solution of system of linear equation in three variable satisfying all the equation.

x+y+z=12

2x +y+z =17

x+2y +3z=23

For infinite Solution

These three lines will be Coincident, i.e lies above one another.

I.e,

D=D_{1}=D_{2} =D_{3}=0

for example

x +y+z =6

2x +2y +2z=12

3x+ 3y+3z=18 has infinitely many solution.

For no solution

if D=0 and either of D_{1}, or D_{2} orD_{3} is non zero ,it has no solution.

The three lines will be parallel to each other.

For example

x + y+z=3

2x +2y+2z =5

4x + 4y + 4z =17

It has no solution.






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Answer: 116.12

Explanation:

13 x 7 = 91

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umka21 [38]

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

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<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

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<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

\displaystyle{\frac{90}{100}=\frac{369}{x}}

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We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

90x = 369*100        Simplify by multiplying.

90x = 36,900            Isolate the variable <em>x</em>.

\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}           Divide both sides by 90 to cancel out 90 on the left.

\displaystyle{x = \frac{36,900}{90}}              Divide.

x = 410                    Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

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Option 2 is the correct answer

Step-by-step explanation:

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The given function is a cubic function because the highest power

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2) f(x) = 3x²/4 + 2x - 5

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