3 years ago

Which is the graph of the cube root function f(x)=3/x

Mathematics

2 answers:

Ulleksa [173]3 years ago

6 0

The answer is f(x) = ^3√x + 6 +1

larisa [96]3 years ago

3 0

Answer:

A: f(x) = ^3√x + 6 +1

Step-by-step explanation:

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A carpenter worked for 4 days to finish a repair job. She charged $825 for 15 hours plus $278 for material. What is the carpente

Paha777 [63]

15x + 278 = 825
15x = 547
x = $36.47 / hour

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3 years ago

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A(3,0) and B(-3,0) are the two fixed points Find the locus of a point P at which AB subtend a right angle at P

tangare [24]

Answer:

$y^2+x^2=9$

Step-by-step explanation:

Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.

Two lines of slopes m1 and m2 are perpendicular if:

m1*m2=-1

The slope of the line passing through P(x,y) and A(3,0) is:

$\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}$

The slope of the line passing through P(x,y) and B(-3,0) is:

$\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}$

Substituting in the equation:

$\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1$

Operating:

$\displaystyle \frac{y^2}{(x-3)(x+3)}=-1$

$y^2=-(x-3)(x+3)$

$y^2=-(x^2-9)$

$y^2=-x^2+9$

$\boxed{y^2+x^2=9}$

The locus is a circle centered at the origin with radius 3

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3 years ago

Can -5 be the base of an exponential function?

sleet_krkn [62]

No, because negative base sometimes results in non-real or imaginary value.

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4 years ago

What is 5 x 6/9 as a mixed number

Artemon [7]

Answer:

3 3/9 or 3 1/3

Step-by-step explanation:

5 x 6 = 30 then add your /9

30/9 translates to 3 3/9, simplified is 3 1/3

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3 years ago

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A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that

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Answer:

At most 3 calls: 64.7%

At least 3 calls: 57.7%

5 or more calls: 18.5%

Step-by-step explanation:

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3 years ago