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Mama L [17]
3 years ago
11

Determine the rate of change for 3/2x -5/4y = 15

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

-6/5

Step-by-step explanation:

3/2x - 5/4y = 15

-5/4y = -3/2x + 15

multiply each side by (-4/5)

(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)

y = -6/5x - 12

rate of change: -6/5

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Deffense [45]
I have no clue sorry
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3 years ago
What is the completely simplified equivalent of 2/(5+i)?
Bezzdna [24]

namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.

so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}

4 0
3 years ago
If a train traveled at 50 meters within 120 seconds, what is its speed?
Alja [10]

Answer:

v = 0.416 m/s

Step-by-step explanation:

Give that,

Distance covered by a train, d = 50 m

Time taken, t = 120 s

We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :

v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s

So, the speed of a train is 0.416 m/s.

3 0
2 years ago
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VLD [36.1K]

Answer:

x=1

Step-by-step explanation:

A direct variation equation has the following format:

y=kx

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

12=-2k

Divide both sides by -2:

k=-6

So, our direct variation equations is:

y=-6x

To find what x is when y equals -6, substitute in -6 for y:

-6=-6x

Divide both sides by -6:

x=1

So, our answer is 1 :)

4 0
3 years ago
If two cards are drawn without replacement from an ordinary​ deck, find the probability of and a being drawn.
Ivan

Answer:

4/52

Step-by-step explanation:

4 0
3 years ago
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