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If a graph of a system of two equations shows two lines that coincide on a coordinate plane, how many solutions does the system

olga55 [171]

If a graph of a system of two equations shows two lines that coincide on a coordinate plan there would be C.)Infinitely many solutions

I hope this helps, have a great day.

3 0

3 years ago

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A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in

Andreyy89

So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

now if we take 1/6 as the 100%, what is 1/5 in percentage then?

$\bf \begin{array}{ccllll}
rate&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{6}&100\\\\
\frac{1}{5}&x
\end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x}
\\\\\\
x=\cfrac{6\cdot 100}{5}\implies x=120$

so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.

8 0

3 years ago

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Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Licemer1 [7]

Given:

y is directly proportional to x.

$y=30$ when $x=5$

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

$y\propto x$

$y=kx$ ...(i)

Where, k is the constant of proportionality.

We have, $y=30$ when $x=5$ . Substituting these values in (i), we get

$30=k(5)$

Divide both sides by 5.

$\dfrac{30}{5}=k$

$6=k$

Substituting $k=6$ in (i), we get

$y=6x$

Therefore, the required equation is $y=6x$ .

8 0

3 years ago

Please answer this, thanks.

elena55 [62]

First, put it into point-slope form.

Find the slope:

m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4

Now, put it into point-slope:

y-y1=m(x-x1)

y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24

Slope intercept form: y= mx+b

Add 2 to the other side.

y=-4x-22 <== the answer

I hope this helps!
~kaikers

4 0

3 years ago

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Solve for t.......<br><img src="https://tex.z-dn.net/?f=4%20%28t%20%2B%20%5Ccfrac%7B1%7D%7B4%7D%20%5C%3A%20%20%29%20%3D%203" id=

Bingel [31]

Answer:

$t = \cfrac{1}{2}$