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koban [17]
3 years ago
13

How do you use a number line to compare inequalitys

Mathematics
1 answer:
mezya [45]3 years ago
3 0
Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?

Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.

Just remember
if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below
if the symbol is (> or <) then you do not fill in the dot like the bottom two examples in the graph below
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In the system shown below, what are the coordinates of the solution that lies in quadrant I?
Arisa [49]

Answer:

(4,3)

Step-by-step explanation:

Given

x^2+y^2=25

x-y^2=-5

In order to solve the equations, from equation 2 we get

-y^2= -5-x

y^2=5+x

Putting the value of y^2 in equation 1

x^2+5+x=25

x^2+5-25+x=0

x^2+x-20=0

x^2+5x-4x-20= 0

x(x+5)-4(x+5)=0

(x+5)(x-4)=0

So

x+5=0  x-4=0

x=-5   x=4

Now for x=-5

x^2+y^2=25

(-5)^2+y^2=25

25+y^2=25

y^2=25-25

y^2=0

so Y=0  

And for x = 4

x^2+y^2=25

(4)^2+y^2=25

16+y^2=25

y^2=25-16

y^2=9

y= ±3

So the solution to the system of equations is

(-5,0) , (4,3), (4,-3)

The only solution that belongs to first quadrant is (4,3)

4 0
3 years ago
Read 2 more answers
Write the next three terms to the geometric sequence 6,-18,54
Sati [7]
The next 3 terms would be -162, 468, 1457
8 0
3 years ago
Which ratio is equal to the number π
Blizzard [7]

Answer: 3.14

Step-by-step explanation:

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

7 0
4 years ago
Explain solving how 4x&lt;-16 is different from -4x&lt;16<br><br> Thank y'all
Trava [24]

Answer:

-4x<16 the sign flips if you divide by a negative

Step-by-step explanation:

4x<-16

x<-4

but

-4x<16

x>-4  

6 0
3 years ago
Read 2 more answers
A Ribbon is 12 3/4 feet long. Into how many 3/4 foot pieces can it be cut?
ch4aika [34]
17 pieces can be cut because you have to divide 12 3/4 by 3/4
8 0
3 years ago
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