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Colt1911 [192]
3 years ago
15

E^2x -2e^x -8=0

xFormula1" title=" {e}^{2x} - {2e}^{x} - 8 = 0" alt=" {e}^{2x} - {2e}^{x} - 8 = 0" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0
E^2x -2e^x -8=0   =>    e<span>^(2x)  -2e^x -8=0

Temporarily replace e^x with y.

Then (y)^2 - 2y - 8 = 0.  Factors are (y-4) and (y+2).

Roots are y = 4 and y= -2.

Now remembering that we temporarily replaced e^x with y, we let 
y=4 = e^x.  We need to solve for x.  Taking the natural log of both sides, we get:

ln 4 = x (answer)

We have to discard the other root (y= -2), because we cannot take the ln of a negative number.


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Answer:

7.  x = 5

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9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

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8. For a parallelogram, the lengths across intersection are equal.

So that,

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x = \frac{4}{2}

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and

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7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

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3x = 4x - 21

x = 21

and

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3y - y = 78

2y = 78

y = \frac{78}{2}

  = 39

y = 39

x = 21, y = 39

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2 years ago
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Answer:

$720

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360 chocolate cupcakes times the amount each cupcake was sold for equals the amount of money raised from the chocolate cupcakes (360x2=720).

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solve for "x"
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3 years ago
What is 8/10 and 4/9 close to 0, 1 or 1 \ 2
jeka94
8/10 is close to 1(8/10 = 0.8 and 5 and up you round up)
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Answer:

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Step-by-step explanation:

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