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elena-14-01-66 [18.8K]
3 years ago
10

Find the inequality represented by the graph

Mathematics
2 answers:
bezimeni [28]3 years ago
4 0
The answer is y ≥ 1/2x
GaryK [48]3 years ago
4 0

Answer:

y\geq \frac{1}{2}x

Step-by-step explanation:

To find the inequality represent by the graph, we first must find the linear equation that represents that line.

So, in first place, we find the slope of the line, using two point (0,0) and (2,1):

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}

Now, using one point, the slope and the slope-point formula, we find the linear expression

y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x

Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):

y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0

We know that 1 is more than zero, this means that the right inequality sign is \geq, due to the relation of the numbers, and because line is solid.

Therefore, the inequality is

y\geq \frac{1}{2}x

You might be interested in
Simplify.<br><br> 15 20 24+20
WINSTONCH [101]

Answer:

-5 divide by 28

Step-by-step explanation:

so the question supposed be " 15-20 divided by 2(4) + 20

15-20 which is also 15 + (-20)= -5

2(4)=8, 8+20=28

so it can simplify into -5 / 28

(hope it helps :)

5 0
2 years ago
3/24 in simplest form
daser333 [38]
1/8

3 divide by 3=1

24 divide by 3= 8

which gives you 1/8
5 0
3 years ago
Read 2 more answers
Two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
andrew11 [14]

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.  

<h3>How to find the sum of terms using Arithmetic sequence formula</h3>

aₙ = a + (n - 1)d

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a  = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

learn more on arithmetic sequence here: brainly.com/question/1687271

4 0
2 years ago
Write the slope-intercept form of the equation for the line.
max2010maxim [7]
The answer is C, you can tell because the b=-1, so that eliminates d, then you know the slope is positive because of the direction it goes, so that eliminates a. Then if you look at the slope, it goes up 3 over 1, so that makes the answer C.
Hope this helps
8 0
3 years ago
Find m QRS? who can help me?​
Ratling [72]

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

4 0
2 years ago
Read 2 more answers
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