Find f(a), f(a+h) and the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0. F(x)= 2x/ x-1

Answers

Answer 1

Answer: First.

Calculate f'(x) = (2x/x-1)' = (-2)/ $(x-1)^(2)$ ; when x is not 1;

Second.

Calculate f'(0) = -2 => the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0 is -2;

Third.

f(a) = 2a/a-1; f(a+h) = (2a+2h)/(a+h-1);

Answer 2

Answer:

Answer:

Step-by-step explanation:

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I need to know what 85% of $6.99 plz help me!:(

Answers

85÷100=0.850.85×6.99=5.9415 is the answer

Write 3,000,000 in scientific notation.Show your work in the work space below.

Hint: Move the decimal place to the left.

Answers

Answer:

3 × 10^6

Step-by-step explanation:

3 × 1,000,000 = 3 × 10^6

Answer:

3,000,000 = 3 × 1,000,000 = 3 × 106.

Step-by-step explanation:

3,000,000 is a decimal expression, and 3 × 106 is scientific notation.

Hope this helps :))

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Answers

$(\sqrt[3]{x^(2)})^(6)=x^{(2* (1)/(3))*6}=x^{ (2)/(3)*6 } =x^(4)$

the cube root of x^2 is x^2/3
because it is in the bracket and the power of 6 sign is outside you multiply its index (2/3) by 6 and you have x^4
so the answer is the second one, x^4

hope this helps :)

The steamboat River Queen travels at the rate of 30km/h in still water. If it can travel 45 km up stream in the same amount of time that it takes to go 63 km down stream what is the rate of the current.

Answers

$x-the\ rate\ of\ the\ current\nt-time\n\n \left\{\begin{array}{ccc}(30-x)t=45\n(30+x)t=63\end{array}\right\n \left\{\begin{array}{ccc}t=(45)/(30-x)\nt=(63)/(30+x)\end{array}\right\n\n(45)/(30-x)=(63)/(30+x)\n\ncross\ multiply\n\n63(30-x)=45(30+x)\n1890-63x=1350+45x\n-63x-45x=1350-1890\n-108x=-540\ \ \ \ /:(-108)\nx=5\n\nAnswer:The\ rate\ of\ the\ current\ is\ 5\ km/h.$

What is the answer of this equation

Answers

Put it in an improper fraction by multiply the coefficient with the denominator and add the numerator.
5/2 , 14/3
Find a common denominator which would be 6.
5/2 = 15/6 , 28/6
Add those together.
15/6 + 28/6 = 43/6
Since it can't be simplified the answer is 43/6

The museum charges $12.50 for youth admission and $17.50 for adults. One day the museum collected $1535 from a total of 110 youths and adults. How many admissions of each type were sold?

Answers

x - young
y - adult

$12.50x+17.50y=1535\n x+y=110\n\n 12.50x+17.50y=1535\n x=110-y\n\n 12.50(110-y)+17.50y=1535\n 1375-12.50y+17.50y=1535\n 5y=160\n y=32\n\n x=110-32\n x=78$

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