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Katarina [22]
3 years ago
14

Solve by the method of balancing and equation and write the step use to separate the variable.....​

Mathematics
1 answer:
lesya [120]3 years ago
5 0

Answer:

the required answers are :

c) x = 2

d) x = 27 / 7

e) x = 9

f ) x = 6

Step-by-step explanation:

for explanation see the attached image

^_^

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What is the effect on the area of a rectangle if the dimensions are doubled?
alisha [4.7K]
Let x be the length and y be the width of a rectangle.
Area = xy

When x and y are doubled
Length = 2x and Width = 2y
Area = 2x x 2y
Area = 4xy

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Answer: When the dimension is doubled, the area is 4 times the original.
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8 0
3 years ago
A picnic basket is shaped like a rectangular prism. The height of the basket is 8 inches. The bottom of the basket has an area o
erica [24]

Answer:

1920 cubic inches

Step-by-step explanation:

Volume = Base Area × Height

= 240 × 8

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5 0
3 years ago
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
What is the answer to this question y= 5(3)x
VLD [36.1K]
Y = 15x but I'm not sure :/
4 0
3 years ago
Read 2 more answers
0.8-3.2x&lt;-2-2.8x please help me answer this!!!!! it is timed
Xelga [282]

Answer:

x > 7

Step-by-step explanation:

0.8 - 3.2x < -2 - 2.8x

Add 2.8x to both sides.

0.8 - 0.4x < -2

Subtract 0.8 from both sides.

-0.4x < -2.8

Divide both sides by -0.4. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality symbol changes direction.

x > 7

4 0
3 years ago
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