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Mamont248 [21]
2 years ago
13

Subtract. (4/5p+1/2)-(1/4p-3) A: 21/20p-5/2 B: 1/5p-7/2 C: 11/20p+7/2

Mathematics
1 answer:
Leto [7]2 years ago
8 0

Answer:

A

Step-by-step explanation:

I think it's A because it mostly multiplies then adds and subtracts so you get your answer doing this

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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
Factor 12m^2n^2-8mn+1
Vika [28.1K]
12m²n² -8mn +1


[6mn-1]•[ 2mn-1]

[ 6mn•2mn + 6mn•-1 + -1•2mn +-1•-1]

= [ 12 m²n² -6mn -2mn +1]

= [ 12m²n2-8mn+1]





.........
6 0
3 years ago
Please answer thank you
mafiozo [28]

Answer:

D. Zero

Step-by-step explanation:

A solution is formed when the lines intersect at a

point. The coordinates will then be the solution.

In the diagram shown, the line and curve does not intersect at all so there is no solution to the curve.

7 0
3 years ago
What is a rational number
Readme [11.4K]

Rational numbers are a giant group of numbers in mathematics. Basically, rational numbers are all numbers that can be written as a fraction. The set of rational numbers includes many subsets of numbers which are provided in the image.

7 0
3 years ago
To make lemonade, Andy adds
JulsSmile [24]

Answer:

64/3 tablespoons of sugar for 32 ounces of water

Step-by-step explanation:

In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another.  so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.

Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.

Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.

Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.

It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.

2/3 tablespoon of sugar for 1 ounce of water

Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water

3 0
3 years ago
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