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3 years ago

Which function grows at the fastest rate for increasing values of x?

Mathematics

1 answer:

romanna [79]3 years ago

8 0

Answer:

f (x) = 2.3x grows the value of x at faster rate

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0.5 divided in to 4.5

Wittaler [7]

Answer:

it be nine argrgrgrg now fillllllller

4 0

3 years ago

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What is the arithmetic mean of the following numbers?<br> 3,5,6,7,9,6,8

9966 [12]

Answer:

6 3/7

Step-by-step explanation:

Remember, the mean is the average of the number

Meaning that you have to add up all the numbers then divide them by the amount of numbers there are.

3, 5, 6, 7, 9, 6, 8

(3 + 5 + 6 + 7 + 9 + 6 + 8) / 7

44 / 7

6 3/7

8 0

3 years ago

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

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4 years ago

In every right triangle there is exactly one ____.

bogdanovich [222]

Answer:

point

Step-by-step explanation:

6 0

3 years ago

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Can someone please help me???

Pavel [41]

Answer:

Step-by-step explanation: Can someone please help me???

What is the solution to −2x+8≥4?

x≤2x is less than or equal to 2

x≥2x is greater than or equal to 2

x≤−6x is less than or equal to negative 6

x≥−6

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3 years ago