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Margarita [4]
3 years ago
6

How to solve 49=√x ??????????​

Mathematics
2 answers:
DanielleElmas [232]3 years ago
5 0

Answer:

do 49 x 49 which equals 2,401 then check it

put 2,401 square root which equals 49

Eddi Din [679]3 years ago
4 0

\text{Hey there!}

\text{49}=\sqrt{\text{x}}\\\\\text{Reverse the equation:}\sqrt{\text{x}}=49

\text{After you reverse the equation put the square root on each of your sides!}

\text{In order for you to find the outcome (your result) put 49 to the power of 2 (49)}^2

\text{Your equation becomes:x = 49}^2

\text{49}^2\text{= 49}\times49 =2,401

\boxed{\boxed{\bf{Thus, your\ answer\ is: 2,401}}} \checkmark

\text{Note: there's many ways that you could solve for these type of problems but} \text{steps are basic for better understanding the particular equation!}

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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If the federal reserve sells $40,000 in treasury bonds to a bank with 5% interest the immediate effect on the money supply is an decrease of $40,000.
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H(x) = -3(x²)<br><br><br> describe the transformation
Shkiper50 [21]

Answer:

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

Step-by-step explanation:

8 0
3 years ago
Emmett gathered some data to compare the monthly cost of renting a one-bedroom apartment in Dallas and Austin. The data collecte
Goryan [66]

Answer:

The correct options are;

a) The city's data has the higher median monthly apartment cost of the two cities by $155

b) The city's data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data

Step-by-step explanation:

The given data for the cost of renting a one-bedroom apartment in Dallas is presented as follows;

$994, $1,322, $1,075, $1,189, $1,172, $1,465, $1,215, $930, $1,090, $1,288

Which can be arranged in increasing order and analyzed to find the interquartile range, mean and standard deviation using Microsoft Excel as follows;

$930, $994, $1,075, $1,090, $1,172, $1,189, $1,215, $1,288, $1,322, and $ 1,465

The first quartile, Q₁ = $1,054.75

The third quartile, Q₃ = $1,296.5

The interquartile range = Q₃ - Q₁ = $241.75

The median = $1,180.5

The average monthly cost = $1,174

The standard deviation of the sample = $159.9597

The given data for the cost of renting a one-bedroom apartment in Austin is presented in increasing order using Microsoft Excel as follows;

$900, $950, $1,100, $1,250, $1,296, $1,375, $1,389, $1,400, $1,450, $1,495

The interquartile range, mean and standard deviation are found using Microsoft Excel as follows;

The first quartile, Q₁ = $1,062.5

The third quartile, Q₃ = $1,412.5

The interquartile range = Q₃ - Q₁ = $1,412.5 - $1,062.5 = $350

The median = $1,335.5

The average monthly cost = $1,260.5

The standard deviation of the sample = $209.0945

The difference in the median cost of the two cities is $1,335.5 - $1,180.5 = $155

Therefore, the Austin's city data has the higher median monthly apartment cost of the two cities by $155

b) The difference in the sample standard deviation of the two cities is $209.0945 - $159.9597 = $49.13476

Therefore, the Austin city data had the greater variability among monthly apartment costs because the standard deviation was $49.13 more than that of the other set of data.

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