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notsponge [240]
3 years ago
13

Which system of linear inequalities is represented by the graph?

Mathematics
2 answers:
masha68 [24]3 years ago
6 0
For the red line, we have:
 
gradient (m) = 1/3
y-intercept = 3

Equation of straight line is given by y=mx+c, where m is the gradient and c is where the line intercept the y-axis

So we have, y= \frac{1}{3}x+3

The shaded part is above the line, hence the first inequality is
y \geq \frac{1}{3}x+3

The black line, we have
gradient, (m) = 3
y-intercept = -2

y=mx+c
y=3x-2, rearranging gives
3x-y=2

The shaded region is to the right of the line, hence the inequality is
3x-y\ \textgreater \ 2

Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>\geq 



Lelu [443]3 years ago
4 0

I JUST TOOK THE TEST AND THE ANSWER IS B

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What is the value of x?
Ira Lisetskai [31]

Answer:

121°

Step-by-step explanation:

The angle with measure x is an exterior angle of the triangle.

The angles measuring 90° and 31° are the remote interior angles to the exterior angle.

<em>Theorem:</em>

<em>In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.</em>

x = 31 + 90

x = 121°

5 0
3 years ago
At the kansas city airport, a group of pilots for skyways and yellow jet airlines were asked whether their flights were flying e
DiKsa [7]

The joint frequency that has the most flights is the Yellow Jet, going east. Option C. This is further explained below.

<h3>What is Frequency?</h3>

Generally, the occurrence per period with which something happens throughout a certain time period or in a given sample.

In conclusion, a beast with entries 30, 65, 65. the third column is labeled west with entries 33, 34, 67. the fourth column is labeled total with entries 63, 69, 132. Hence the Yellow Jet, going east. has the most flight.

Read more about frequency

brainly.com/question/24623209  

#SPJ4

4 0
1 year ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B8a%5E%7B-5%7Db%5E%7B4%7D%20%7D%7B12a%5E%7B-6%7Db%5E%7B-2%7D%20%7D%29" id="TexForm
Oxana [17]

Answer:

→ \frac{8 {a}^{( - 5) } {b}^{(4)}  }{12 {a}^{( - 6)} {b}^{( -  2)}  }  =  \frac{2 {a}^{(6 - 5)}{b}^{(4 + 2)} }{3}   =  \boxed{ \frac{2}{3}a {b}^{6} }✓ \\

  • <u>(2/3)ab⁶</u> is the right answer.
6 0
2 years ago
Give a possible formula for the given graph. Note that the distance between the graph and the asymptote decreases exponentially.
Margarita [4]
The formula is:
f ( x ) = a ( 1/2 )^x + 16
If it passes through the point: ( 1, 8 )
a ( 1/2 ) ^1 + 16 = 8
1/2 a = - 8
a = - 16
Answer:
f ( x ) = - 16 ( 1/2 )^x + 16

3 0
3 years ago
Quin made three and four sevenths jugs of sweet tea. She sold two and one third jugs at her sweet tea stand. How much sweet tea
Lera25 [3.4K]

Answer:\frac{23}{21}\ \text{Jugs of tea}

Step-by-step explanation:

Given

Quin made three and four seventh jugs of sweet tea i.e. 3 \frac{4}{7}=\frac{3\times 7+4}{7}=\frac{25}{7}\ jugs

She sold two and one-third jugs i.e.   2 \frac{1}{3}=\frac{2\times 3+1}{3}=\frac{7}{3}\ jugs

Remaining tea= \frac{25}{7}-\frac{7}{3}=\frac{24\times 3-7\times 7}{21}\\

=\frac{72-49}{21}=\frac{23}{21}\ \text{Jugs of tea}

8 0
3 years ago
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