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Vitek1552 [10]
2 years ago
12

Solve the System by Graphing:

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0

Answer:

  • B) One solution
  • The solution is  (2, -2)
  • The graph is below.

=========================================================

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

y = 1

The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.

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Marina CMI [18]

Answer:

4/3

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3 years ago
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Joe went to watch the Quakes play baseball at Epicenter stadium in Rancho Cucamonga. While he enjoyed the game, he also purchase
anzhelika [568]

Answer:

a) True

b) True

c) False

d) True

Step-by-step explanation:

A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)

On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)

Considering these definitions we get:

a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.

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c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.

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4 0
3 years ago
Ravi walks 3.5km every day. How far does he walk in 7 days?
kolbaska11 [484]
24.5 you take 3.5 and times it by 7 do get the distance.

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Let t be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t)=700−40t. a) For 0≤
Flura [38]
What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.

How big can (t) get before water actually starts escaping the reservoir?

Essentially, to figure this out r(t) would have to be equal to 0. 

700 - 40t = 0

40t=700

t=700/40=17.5

So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.

---------------

The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.
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3 years ago
Someone lent me a book and they told me they left something inside and the picture attached shows the note that they left for me
son4ous [18]

Answer:

'∂' -- means a partial differential

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The text says something about the world turning so maybe the equation has something to do with that? Maybe it is the equation for the earth's rotation. Sorry I can't find anything else, but I hope this helps a bit!

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