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3 years ago

Which system below has no solution?

Mathematics

1 answer:

Art [367]3 years ago

4 0

Answer:

None of the above.

If that isn't a choice, make sure you have written the equations correctly in your question. This is what I'm seeing:

y = 4x and y = 2x - 3

y = -4x and y = 2x - 3

y = -4x and y = 2x + 3

y = -4-x and y = 2x - 3

Step-by-step explanation:

We are looking for a system that has the same slope and a different y-intercept (the lines will be parallel in this case and never cross)

None of your pairs have the same same slope.

The first pair have slopes of 4 and 2 respectively.

The second pair have slopes of -4 and 2 respectively.

The third pair have slopes of -4 and 2 respectively.

The fourth pair have slopes of -1 and 2 respectively.

So all of these pairs will have one solution.

You might be interested in

Condense the log equation: 4 log x + log y - 5 log z

Setler [38]

Answer:

The condensed log equation is: $\log{\frac{x^4y}{z^5}}$

Step-by-step explanation:

We use these following logarithm properties to solve this question:

$a\log{x} = \log{x^a}$

$\log{a} + \log{b} = \log{ab}$

$\log{a} - \log{b} = \log{\frac{a}{b}}$

In this question:

$4\log{x} = \log{x^4}$

$5\log{5} = \log{z^5}$

$4\log{x} + \log{y} - 5\log{z}$

Becomes:

$\log{x^4} + \log{y} - \log{z^5}$

Now applying the addition and subtraction properties, we have:

$\log{\frac{x^4y}{z^5}}$

The condensed log equation is: $\log{\frac{x^4y}{z^5}}$

7 0

3 years ago

How do you expand 6(x + 3y + 2z)

Nadusha1986 [10]

6x+18y+12z

Hope this helps!

4 0

3 years ago

The conversion factor relating feet to meters is 1 ft=0.305 m. Keep in mind that when using conversion factors, you want to make

kogti [31]

Answer:

1763 ft²

Step-by-step explanation:

Using the given conversion factor, ...

(164 m²)(1 ft/(.305 m))² = 165/.093025 ft² ≈ 1763 ft²

_____

The exact conversion factor is 1/0.3048, so the area is closer to 1765 ft². For a 4-significant digit answer, you need to use a conversion factor accurate to 4 significant digits.

6 0

3 years ago

Given the quadratic function : f(x)=x^24x-12<br> Find the vertex.<br> Can you show the steps?!?

vlada-n [284]

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)} \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)$

6 0

3 years ago

Roger bring 4 cakes for desert to the community potluck feast and powwow. His son brings 2 individual servings of dessert. Altog

TiliK225 [7]

$y=\frac{x-2}{4}$
$x=$ the # of people at the feast
$y=$ the # of pieces the cake must be cut

$\frac{34-2}{4} = \frac{32}{4} = 8$

8 0

4 years ago