Hi!
<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>
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|2x - 3| > 7
Since the absolute value is isolated, we can now solve.
First, remove absolute value signs, then solve for x.
2x - 3 > 7
2x > 10
x > 5
Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:
2x - 3 < -7
2x < -4
x < -2
Now, as stated above, since it's a greater than symbol it means OR.
<u><em>x > 5 OR x < -2</em></u>
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<u><em>For more information on solving absolute value inequalities:</em></u>
brainly.com/question/14473339
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Answer:
28
Step-by-step explanation:
1 - 3 + 30
= -2 + 30
= 28
Answer:
10/72 or 0.14
Step-by-step explanation:
There are 72 marbles in total and 10 of them are green. So, it is 10/72 or 1.388 rounded to the nearest hundredth is 0.14.
Answer:
The equation 
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula 
, we find that the distance between (x, y) is
and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:
