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zloy xaker [14]
3 years ago
14

%29" id="TexFormula1" title="((x - 1) \div 3 ) - 2 \leqslant ((5 - 2x) \div 6)" alt="((x - 1) \div 3 ) - 2 \leqslant ((5 - 2x) \div 6)" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

x ≤ \frac{19}{4}

Step-by-step explanation:

Given

\frac{x-1}{3} - 2 ≤ \frac{5-2x}{6}

Multiply through by 6 to clear the fractions

2(x - 1) - 12 ≤ 5 - 2x ← distribute and simplify left side

2x - 2 - 12 ≤ 5 - 2x

2x - 14 ≤ 5 - 2x ( add 2x to both sides )

4x - 14 ≤ 5 ( add 14 to both sides )

4x ≤ 19 ( divide both sides by 4 )

x ≤ \frac{19}{4}

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Mr Daniels is organizing a class field trip on a budget of $900.The bus rental costs $600. Mr.daniels will also buy tickets that
solmaris [256]
600 + 9.5x (less than or equal to) 900

600 fixed amount
9.5 is the variable changing amount and differs among number of students taken
8 0
3 years ago
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You are searching online for techno music that is neither European nor Dutch. In set notation, which set of music files are you
yuradex [85]
<h2>Answer: </h2><h2>Techno ∩ (European ∩ Dutch)'</h2>

Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and    

                                     Dutch , while (European ∩ Dutch)' represents neither

                                     European nor Dutch .

Union ( ∪ ) - e.g (European ∪ Dutch) represents either  European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents  set notation of techno musics that is neither European nor Dutch .

                                     

3 0
2 years ago
Solve each equation using the quadratic formula. Find the solutions.<br><br> x^2 - 6x + 7 = 0
LuckyWell [14K]
X^2-6x+7=0

-b +/- sqrt b^2-4ac all over 2a

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6+/- sqrt 36-4×1×7 all over 2×1

6+/- sqrt 8 all over 2
6+/- 2sqrt2 all over 2
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3+/- sqrrt2





5 0
3 years ago
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Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5. ​
Licemer1 [7]
<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>
  • The slopes of perpendicular lines are opposite reciprocals of each other.
  • The simplest way to determine a number's reciprocal is to flip it over, like so:
  • -2 ~ - > -\displaystyle\frac{1}{2}
  • Now, change the sign:
  • \displaystyle\frac{1}{2}
  • So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
  • Now, let's find the line's equation.
  • First, let's write it in Point-Slope Form:
  • y-y1=m(x-x1)
  • y-(-2)=1/2(x-4)
  • y+2=1/2x-2 (Point slope)
  • Now, convert to slope-intercept:
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  • y=1/2x

Hope it helps.

Do comment if you have any query.

5 0
2 years ago
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Solve for y in x+0.25y=1.5
IRISSAK [1]

Answer:

Y=-4x+6

Step-by-step explanation:

Step 1: Add -x to both sides.

X+0.25y+-x=1.5+-x

0.25y=-x+1.5

Step 2: Divide both sides by 0.25.

0.25y/0.25=-x+1.5/0.25

Y=-4x+6

Hope I helped

5 0
3 years ago
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