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Ray Of Light [21]
2 years ago
13

Which fraction and decimal forms match the long division problem?

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
7 0

Answer:

C would be the correct answer. :D

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Describe the following variation: y/x2=5
Firdavs [7]
We are asked to describe the variation \displaystyle{ \frac{y}{x^2}=5, 

that is y=5x^2

for x≠0, in which case x=y=0, we distinguish the following intervals:

I   = (-infinity, -1]
II  = (-1, 0)
III = (0, 1)
III = [1, infinity)

Case I, consider the cases (examples)   x= -5, and x= -6

5(-6)^2\ \textgreater \ 5(-5)^2, so we can conclude that the greater the x, the smaller the y.

Case II, consider x= -1/2 < x=-1/3

5(-\frac{1}{2})^2= \frac{5}{4}\\\\ 5(-\frac{1}{3})^2= \frac{5}{9}\\\\\frac{5}{9}\ \textless \  \frac{5}{4}

thus, the greater the x, the smaller the y.


Case III, consider the cases (examples)   x= 5, and x= 6

5(6)^2\ \textgreater \ 5(5)^2, so we can conclude that the greater the x, the greater the y.

Case III, consider x= 1/3 < x=1/2

5(\frac{1}{2})^2= \frac{5}{4}\\\\ 5(\frac{1}{3})^2= \frac{5}{9}\\\\\frac{5}{9}\ \textless \ \frac{5}{4}

thus, the greater the x, the greater the y.


Conclusion:

y=0 only if x is 0. Otherwise y>0 always:

for x<0,   x and y are inversely proportional

for x>0,   x and y are directly proportional.


Remark, an other possible consideration in cases could be x<0 and x>0 only.


Remark, 
another approach is considering the graph of y=5x^2, which is a parabola, with the vertex at (0, 0) opening upwards.

From the graph we can find the same conclusion. That is we can see that the farer we get away from the y-axis, in both direction, the larger the values of y become.

4 0
3 years ago
Find the slope of the line that passes through the points (2.1) and (-1.-1).​
sp2606 [1]

Answer: The slope is \frac{2}{3}

Step-by-step explanation:

The slope can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, knowing that the line passes through the points (2,1) and (-1,-1), we can substitute the coordinates into the formula.

In this case:

y_2=-1\\y_1=1\\x_2=-1\\x_1=2

Therefore, the slope of the line that passes through the points (2,1) and (-1,-1) is:

m=\frac{-1-1}{-1-2}\\\\m=\frac{-2}{-3}\\\\m=\frac{2}{3}

6 0
3 years ago
Todd swam his race in 36.795 seconds while Markie swam his race in 39.09 seconds. What was the difference in their times?
ivann1987 [24]

Answer:

2.295 seconds

Step-by-step explanation:

39.09-36.795

=2.295 seconds

PLS GIVE BRAINLIEST

6 0
3 years ago
If it takes 21 minutes for 5 people to paint 7 walls how many minutes does it take 3 people to paint 5 walls
RideAnS [48]

Answer:

21 minutes divided by 7 walls = 3 minutes per wall for 5 people.

Assuming each worker has the same exact productivity, one person would take 15 minutes to paint a single wall (3 minutes x 5 people to get the amount of time for 1 worker per wall).

15 minutes for one worker multiplied by 5 walls = 75 minutes for one worker.  Divide 75 minutes by 3 people = 25 minutes to paint all 5 walls with 3 people.


Step-by-step explanation:


4 0
2 years ago
Read 2 more answers
Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is shown below. Step 1 Find the
kaheart [24]

Answer:

C- step 3, the resulting area should be in terms of pi

Step-by-step explanation:

I did the test on edge, I passed

8 0
2 years ago
Read 2 more answers
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