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3 years ago

How do you determine whether a system of linear equations has no solutions, one solution, or infinitely many solutions?

Mathematics

1 answer:

Charra [1.4K]3 years ago

4 0

The answer to this is

 If the lines are the same, the equations are dependent linear equations. Using the graph of y = x and x + 2y = 6, shown below, determine how many solutions the system has. Then classify the system as consistent or inconsistent and the equations as dependent or independent. The lines intersect at one point.

Hope This Helps!
:D

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Rewrite the function by completing the square. f(x) = x2 – 10x + 44 + f(x) = (x+

iVinArrow [24]

Answer:

$f(x)=(x-5)^{2}+19$

Step-by-step explanation:

we have

$f(x)=x^{2}-10x+44$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-44=x^{2}-10x$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)-44+25=x^{2}-10x+25$

$f(x)-19=x^{2}-10x+25$

Rewrite as perfect squares

$f(x)-19=(x-5)^{2}$

$f(x)=(x-5)^{2}+19$

8 0

3 years ago

Can someone helppp pleaseee

Novay_Z [31]

Step-by-step explanation:

=> the correct equation for the given value is

=>. y = 5x + 4

hope it helps and your day will be full of happiness

7 0

3 years ago

Please help explanation if possible

expeople1 [14]

9514 1404 393

Answer:

steeper
up (4 units)

Step-by-step explanation:

When the equation of the line is in the form ...

y = mx + b

the coefficient 'm' is the slope of the line, and the value 'b' is the y-intercept, the point on the y-axis where the line crosses.

We say the line is "steeper" when the magnitude of the slope is greater. Line B, with its slope of 7 will be steeper than line A, with its slope of 3.

the new slope is steeper

The y-intercept of line A is -3. The y-intercept of line B is +1, so it crosses the y-axis above the point where line A crosses. One could say that line B is shifted up, when referring to the y-intercept.

3 0

3 years ago

600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much

ohaa [14]

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be $600(1 - \frac{20}{100}) = 600 \times 0.8 = 480$ .

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be $480(1 + \frac{20}{100}) = 480 \times 1.2 = 576$ .

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

3 0

3 years ago

After 7 years, Amber earned $1575 in simple interest from a cd into which he initially deposited $6000. What was the annual inte

ankoles [38]

$\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1575\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &7
\end{cases}
\\\\\\
1575=(6000)(r)(7)\implies \cfrac{1575}{(6000)(7)}=r\implies 0.0375=r
\\\\\\
r\%=0.0375\cdot 100\implies r=\stackrel{\%}{3.75}$

4 0

3 years ago