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2 years ago

If you get 4=4 when solving a system of equations algebraically, it means there is no solution

Mathematics

1 answer:

natali 33 [55]2 years ago

3 0

Answer:

C) never

Step-by-step explanation:

It means the system of equations is true for all values of the variables that satisfy one of the equations. The other equation is identical, so any values that satisfy the first equation will also satisfy the second equation.

There will be an infinite number of solutions. There will never be no solution.

Example:

x + y = 4

-x -y +4 = 0

Adding the two equations gives ...

(x +y) +(-x -y +4) = (4) + (0)

4 = 4

The solutions to this system are all values of x and y such that x+y=4. There are an infinite number of such solutions.

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Factorise x squared + 3x + 2

Zielflug [23.3K]

Answer:

$(x + 2)(x + 1)$

Step-by-step explanation:

by factorising ;

=》

${x}^{2} + 3x + 2$

=》

${x}^{2} + 2x + x + 2$

=》

$x(x + 2) + 1(x + 2)$

=》

$(x + 2)(x + 1)$

i hope it helped.....

8 0

2 years ago

Which explains whether or not the function represents a direct variation?

s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

$A(0,0)$ ------> the line passes through the origin

$B(2,10)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=10/2=5$

$C(4,20)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=20/4=5$

$D(6,30)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=30/6=5$

$E(8,40)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=40/8=5$

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

$f(x)=5x$

4 0

3 years ago

Read 2 more answers

An element with a mass of 320 grams decays by 5.1% per minute. To the nearest tenth of a minute, how long will it be until there

HACTEHA [7]

Answer:

X=9

Step-by-step explanation:

7 0

2 years ago

What is the length of the arc intercepted by an angle of 10 degrees on a circle with a radius of 10 meters?

soldier1979 [14.2K]

$\displaystyle\\
\texttt{Length of the arc }= 2\pi R\times \frac{10}{360} = \frac{2\pi \times 10}{36} = \frac{20\pi}{36} = \boxed{\frac{5\pi}{9}~m}$

3 0

2 years ago

Put them in order from least to greatest: 9.5 9.66 9.662 9.551 9 9.59 9.626

Fiesta28 [93]

Answer:

9, 9.5,9.551,9.59,9.626,9.66,9.662

Step-by-step explanation:

4 0

2 years ago

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