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3 years ago

Select all of the possibilities for the number of solutions of a two variable linear system

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

5 0

Select all of the possibilities for the number of solutions of a two-variable linear system.

YES no solutions

YES 1 solution

NO 2 solutions

YES infinite solutions

NNADVOKAT [17]3 years ago

4 0

Answer:

1, 2 and 4

if parrallel lines: no solution

Step-by-step explanation:

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In attempting to solve the system of equations y = 3x - 2 and 6x - 2y = 4, John graphed the two equations on his graphing calcul

ExtremeBDS [4]

Answer:

He is not correct, the answer is All Real Numbers.

Step-by-step explanation:

When two lines are right on top of each other, the solution set is All Real Numbers that are on both lines because the solution set is the point(s) at which the lines overlap.

8 0

3 years ago

Simplify the rational Expression <br>

qaws [65]

Answer:

$\frac{x^2+2x}{x-3}$

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.

Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

$\frac{x^2+2x}{x-3}$

4 0

2 years ago

Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3

xxMikexx [17]

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

$\frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} }$

$= \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} + \sqrt{3} }$

$= \frac{ {( \sqrt{5} + \sqrt{3} ) }^{2} }{( \sqrt{5} - \sqrt{3} )( \sqrt{5} + \sqrt{3}) }$

$= \frac{ {( \sqrt{5} )}^{2} + 2( \sqrt{5} )( \sqrt{3}) + {( \sqrt{3}) }^{2} }{ {( \sqrt{5}) }^{2} - { (\sqrt{3} )}^{2} }$

$= \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}$

$= \frac{8 + 2 \sqrt{15} }{2}$

$= 4 + \sqrt{15}$

3 0

2 years ago

How do you to tell the difference between an ellipse, hyperbola, parabola, or circle if all are in standard form?

NeX [460]

Step-by-step explanation:

General form of a conic section is:

Ax² + Bxy + Cy² + Dx + Ey + F = 0

If B = 0:

Parabola: Either x² or y² term, but not both

Circle: x² and y² have the same coefficient

Ellipse: x² and y² have different positive coefficients

Hyperbola: x² and y² have different signs

Otherwise, look at the discriminant.

If B² − 4AC < 0, then the conic is an ellipse.

If B² − 4AC = 0, then the conic is a parabola.

If B² − 4AC > 0, then the conic is a hyperbola.

6 0

2 years ago

Write 3 decimals less than 0.85

-Dominant- [34]

Hello!

Three decimals less then 0.85 are:

1) 0.4

2) 0.5

3) 0.6

I hope it helps!

8 0

2 years ago

Read 2 more answers