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3 years ago

Let R(x) =X-3/x-4. Solve for R(x) <= 0.

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

The value of x in the function is 3

Data;

R(x) = x-3/x-4
R(x) = 0

<h3>What is a Function?</h3>

A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.

Given that the function R(x) is

$R(x) = \frac{x-3}{x-4}$

And also, R(x) is equal to 0.

$R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3$

The value of x in the function is 3

Learn more on functions here;

brainly.com/question/1214333

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Use compatible numbers to estimate the quotient .179/9

Alisiya [41]

Answer:

179 divided by 9 is approximately 19.88. Rounded to the nearest tenth, it is 19.9.

Step-by-step explanation:

Since the .8 in 19.88 is above the number 5, the number will get rounded to a higher number ( 9).

4 0

3 years ago

Read 2 more answers

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

4 years ago

A hemispherical tank is filled with water and has a diameter of 14 feet. If water

tigry1 [53]

Answer:

$44,826.72\ \text{pounds}$

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

$V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3$

If water weighs 62.4 pounds per cubic foot, it means

$V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}$

So, the total weight of the water is $44,826.72\ \text{pounds}$ .

3 0

3 years ago

Plot the image of point C under a dilation about the origin (0,0) with a scale factor of 1/2

yuradex [85]

Answer:

See Attachment for graph

Step-by-step explanation:

Given

Point C

Required

Plot C when dilated by 1/2

First, we have to determine the coordinates of point C

From the attached graph;

$C = (0,6)$

Next, is to determine the new point when dilated;

This is calculated as thus;

$New\ Point = Old\ Point * Scale\ Factor$

$C' = (0,6) * \frac{1}{2}$

Expand the bracket

$C' = (0 * \frac{1}{2}, 6* \frac{1}{2})$

$C' = (0, \frac{6}{2})$

$C' = (0, 3)$

This implies that C' will be plotted at x =0 and y = 3

<em>(See attached for point C')</em>

6 0

4 years ago

Solve for the value of p

sergeinik [125]

Answer:

43°

Step-by-step explanation:

p + 7° + 3p+ 1° = 180° ( Being linear pair)

4p + 8° = 180°

4p = 180° - 8 °

4p = 172°

p = 172° / 4

p = 43°

Hope it will help :)❤

4 0

3 years ago