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UkoKoshka [18]
2 years ago
8

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?

Mathematics
2 answers:
Maurinko [17]2 years ago
5 0

Answer:

x - 3 \geqslant 0

Step-by-step explanation:

The given square root function is

f(x) =  \sqrt{x - 3}

The domain refers to all values of x that will make this square root function defined.

We know that negative values will not be defined for the square root function therefore the expression under the root should be greater or equal to zero.

Hence the inequality that can be used to find the domain of f(x) is

x - 3 \geqslant 0

luda_lava [24]2 years ago
4 0

Answer:B on edge

Step-by-step explanation: no cap

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The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.
natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

4 0
2 years ago
Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represen
Basile [38]

Expression for the number of tiles Bruce used : <u>5x+2</u>

Expression for the number of tiles Felicia used : <u>5x + 5</u>

<h3>Further Explanation  </h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the introduction for the task

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

We can translate those in to expression of One variable linear equation (x = number of tiles)

  • Bruce

He bought three boxes ⇒ 3x

He only used two tiles from the last box  ⇒ 2x + 2

Total tiles of Bruce used : 3x+2x+2 = 5x+2

  • Felicia

She bought five boxes  ⇒ 5x

She get an extra five tiles to finish the job. ⇒ 5 tiles

Total tiles of Felicia used : 5x+5

<h3>Learn more</h3>

linear equation

brainly.com/question/13101704

Keywords : an expression, linear equation, tiles, box,Bruce,Felicia

#LearnWithBrainly

8 0
2 years ago
Read 2 more answers
Use the drawing tool(s) to form the correct answers on the provided graph.
NISA [10]

Answer:

2x– 3y = –18

3x + y = -5

Converting the equation in slope-intercept form

2x-3y= -18

-3y= -2x-18

-3y= -(2x+18)

3y=2x+18

y=(2x+18)/3

And for equation 2

y= -5-3x

For plotting the graph, the online graphing calculator desmos.com can be used.

The points can be calculated by putting negative and positive values of x in both equations.

The graph is attached as a picture.

As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.

3 0
2 years ago
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What is the sum of 4ft 4 in and 1 ft 11in
Nataliya [291]

Answer:

6ft 3in

Step-by-step explanation:

4ft + 1ft = 5ft

4in +11in= 15in

15in =1ft and 3in

5ft+ 1ft 3in= 6ft 3in

3 0
2 years ago
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Which is the graph of arctan(x)?
Delvig [45]

Answer:

First graph (see below)

Step-by-step explanation:

The graph of the arctan(x) is the first graph attached, see below. This is because if you were to plug in the equation in any TI calculator, you would get this graph.

6 0
2 years ago
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