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sergiy2304 [10]
3 years ago
8

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

f(x)=\sqrt{x-1} -----> Graph C

f(x)=\sqrt{x} -----> Graph A

f(x)=\sqrt{x}-1 -----> Graph B

f(x)=-\sqrt{x} -----> Graph D

f(x)=-\sqrt{x-1} -----> Graph E

Step-by-step explanation:

we have

case a) f(x)=\sqrt{x-1}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x-1\geq 0

x\geq 1

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval ----->  [0,∞)

All real numbers greater than or equal to 0

case b) f(x)=\sqrt{x}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x\geq 0

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval ----->  [0,∞)

All real numbers greater than or equal to 0

case c) f(x)=\sqrt{x}-1

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x\geq 0

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval ----->  [-1,∞)

All real numbers greater than or equal to -1

case d) f(x)=-\sqrt{x}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x\geq 0

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval ----->  (-∞,0]

All real numbers less than or equal to 0

case e) f(x)=-\sqrt{x-1}

Find the domain

we know that

The radicand must be greater than or equal to zero

so

x-1\geq 0

x\geq 1

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval ----->  (-∞,0]

All real numbers less than or equal to 0

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Answer:

16:12

Step-by-step explanation:    

                   (4+12)=16

16/4 = 4

4x3=12

    Another method:

4---------3

16-------x

Cross multiplication

4x=16x3

4x=48

x=12

4 0
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Two number cubes are rolled for two separate events:
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Answer:  \bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}

<u>Step-by-step explanation:</u>

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

P(B|A)=\dfrac{P(B\cap A)}{P(A)}

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

          (2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

          (3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

                    (4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

                              (5, 4), (5, 3), (5, 2), (5, 1)

                                        (6, 3), (6, 2), (6, 1)

       = 30

P(B) = (1, 2), (2, 1)                                   sum = 3

          (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)    sum = 6

          (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)  sum = 9

          (6, 6)                                           sum = 12

                       

      = 12

P(A ∩ B) =  (1, 2), (2, 1)

                  (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

                  (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

             = 11

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The navigator on the ship uses a compass to draw a circle on a nautical chart to indicate the ship's position. The circle has a
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Answer:

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Sketch a graph of y=2x
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Y-int, x=0
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