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anyanavicka [17]
3 years ago
11

Please help and explain how to do this. thank you in advance!

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0
We want to solve
3e^{2x}+5=27

Subtract 5 from each side.
3e^{2x}=22
Divide each side by 3.
e^{2x}=7.3333
Take natural logs of each side.
2x=ln(7.3333)=1.9924
Divide each side by 2.
x = 0.9962

Answer:  x = 0.996  (nearest thousanth)

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Four less than the quotient of ten and a number, increased
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Answer:

Step-by-step explanation:

Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.

If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)

Finally, four less than the quotient of ten and a number, increased  by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4

<em>The resulting equation of the statement is  (10/y +8)-4</em>

To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;

f(y) =  (10/y +8)-4

f(2) = (10/2 +8)-4

f(2) = (5+8)-4

f(2) = 13-4

f(2) = 9

<em>Hence the value of the expression when y = 2 is 9</em>

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Step-by-step explanation:

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8 0
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Step-by-step explanation:

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