3 years ago

50 people were surveyed and asked to choose their favorite season.

Mathematics

1 answer:

AVprozaik [17]3 years ago

5 0

The last statement is true based on the information in the table

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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

6 0

2 years ago

How much pure acid should be mixed with 55 gallons of a 60%acid solution in order to get an 80% acid solution?

horsena [70]

Work in amount of pure acid let x = gallons of pure acid required.
then we have the equation:-

x + 55(0.6) = 0.80(x + 55)

x + 33 = 0.80x + 44
0.20x = 11
x = 11/0.2 = 55 gallons answer

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3 years ago

There are 300 runners at the meet, some boys and some girls

Ira Lisetskai [31]

Answer:

you need to tell me the question first!

Step-by-step explanation:

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2 years ago

Gail ran 4610 miles on Saturday and 6810 miles on Sunday. How many miles did Gail run over the weekend?

VMariaS [17]

Answer:

He ran 11,420 miles on the weekend.

Step-by-step explanation:

It's simple: add 4610 and 6810 to get 11,420

hope this helped!

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2 years ago

What is the answer??

user100 [1]

Answer:

letter C is the right answer

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2 years ago

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