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Masja [62]
2 years ago
10

Absolute value inequalities with fractions

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
3 0
|x - 2x/5| <= 10
|5x - 2x| <= 50
3x <= 50
  x <= 50/3

-|5x - 2x| <= 50
-3x <= 50
   x >= - 50/3

answer

-50/3 <=  x <= 50/3


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A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
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22. A rectangular container, whose base is a square
Pie

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the will be volume is 6cm

7 0
3 years ago
Which equation has a graph that passes through the points at (0,5) and (-3,-4)?
Roman55 [17]

Answer:

y = 3x + 5

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).  

Now, we know that the equation of a straight line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}.

So, in our case (x_{1},y_{1}) ≡ (0,5) and (x_{2},y_{2}) ≡ (-3,-4)

Therefore, the equation of the straight line will be  

\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}

⇒ y - 5 = \frac{9}{3}x

⇒y = 3x + 5 (Answer)

4 0
3 years ago
SOLVE FOR X<br><br> -5x + 9 = 24
boyakko [2]

Answer:

<u>x = -3</u>

Step-by-step explanation:

-5x + 9 = 24

move the nine to the other side

-5x = 15

divide

x = -3

7 0
3 years ago
Find the value of 14/8 + 15/12
n200080 [17]

Answer:

The value of <em> </em>\frac{14}{8} + \frac{15}{12}  = 3

Step-by-step explanation:

<u><em>Explanation</em></u>

<em>Given       </em>\frac{14}{8} + \frac{15}{12}<em></em>

<em></em>

<em>L.C.M     8 , 12   is  24</em>

<em>          </em>

<em>        </em>\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}<em></em>

<em>                   = </em>\frac{42 +30}{24} = \frac{72}{24} = 3<em></em>

<u><em>Final answer</em></u><em>:-</em>

The value of <em> </em>\frac{14}{8} + \frac{15}{12}  = 3

5 0
2 years ago
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