HELP ME PLEASE I BEG YOU!!!!!!!!!!!!!
2 answers:
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Answer:
f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}
Step-by-step explanation:
To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.
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<h3>Left Piece</h3>The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.
The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.
The first piece can be written ...
f(x) = x-3 for x ≤ -1
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<h3>Right Piece</h3>The domain is shown as 5 to ∞, with 5<em> not included</em>.
The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...
y -(-1) = -3(x -5)
y = -3x +15 -1 = -3x +14
The second piece can be written ...
f(x) = -3x +14 for x > 5
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<h3>Whole function</h3>Putting these pieces together, we have ...
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<em>Additional comment</em>
Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, <em>x > 5</em>.
Answer:
<h2>40.1 cm</h2>solution,
BC=8.4 cm
AB=12 cm
BD=4.1 cm
We have to find out: AC ,CD
using Pythagoras theorem:
In ∆ABC ,<B=90°
Similarly,
In ∆BCD, CB=90
Perimeter:
AC+CD+AD
=14.64+9.34+(12+4.1)
=40.08
= 40.1 cm
Hope this helps...
Good luck on your assignment..
Here's the solution,
=》
=》
now, let's multiply the whole equation with 4
=》
=》
=》
=》
so,
Case 1. where, 2x - 5 = 0
=》
case 2. where, 2x - 1 = 0
=》