When x<span> approaches to </span><span>+∞</span><span> the function </span><span>e^<span>3x</span></span><span> becomes much bigger then </span><span>e^<span>−3x</span></span><span>, which obviously means that </span><span>e^<span>−3x</span></span><span> can be neglected in both numerator and denominator.
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Here's how I figured this out:
</span><span>lim <span>x →+∞ </span></span>= (<span><span><span>e^(<span>3x))</span></span>− (<span>e^(<span>−3x)) / (</span></span></span><span><span>e^<span>3x)) </span></span>+ (<span>e^(<span>−3x)) </span></span></span></span>= <span>lim <span>x → +∞ </span></span><span><span>e^<span>3x / </span></span><span>e^<span>3x </span></span></span>= 1
True if there was more then one then it wouldn't be 2 lines it would be one or a line and a curve
Answer : B
First year : 25750 x 80% = 20600
Second year : 20600 x 80% = 16480
Third year : 16480 x 80% = 13184
Fourth year : 13184 x 80% = 10547.2
Fifth year : 10547.2 x 80% = 8437.76
Answer:
130 - P = 62
Step-by-step explanation:
In order to find the amount of pink carnations (p) you need to subtract the amount known (white carnations).
Simplifying
6 + -6x = 5x + -9x + -2
Reorder the terms:
6 + -6x = -2 + 5x + -9x
Combine like terms: 5x + -9x = -4x
6 + -6x = -2 + -4x
Solving
6 + -6x = -2 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
6 + -6x + 4x = -2 + -4x + 4x
Combine like terms: -6x + 4x = -2x
6 + -2x = -2 + -4x + 4x
Combine like terms: -4x + 4x = 0
6 + -2x = -2 + 0
6 + -2x = -2
Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6
Combine like terms: -2 + -6 = -8
-2x = -8
Divide each side by '-2'.
x = 4
Simplifying
x = 4
I hope this helps!
