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seropon [69]
1 year ago
9

How many centimetres is 0.7 inches? Round to the nearest tenth.

Mathematics
1 answer:
wlad13 [49]1 year ago
7 0

it is 1.8 centimeters

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The factors of x cube -10x square -53x-42
Verdich [7]

Answer:

<em><u></u></em>x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)<em><u></u></em>

Step-by-step explanation:

 x^3 - 10x^2 -53x - 42

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

<u>Using trial and error method we will find the first root of the polynomial.</u>

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

<u>Now by long division or by using synthetic division we can find other factors.</u>

<u>Synthetic Division :</u>

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)  ------ ( 1 )

<u>Next further factorize x² - 11x - 42</u>

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)

4 0
2 years ago
Need answer with step I will give ve you 35 points.After 12 years Kishor will be 3 times as old as he was 4 years ago . Find the
tatyana61 [14]

Answer:

<u>12 years</u>

Step-by-step explanation:

Let Kishor's present age be denoted by x.

According to the question :

  • He will 3 times as old as he was 4 years ago after 12 years

Therefore, the equation is :

  • x + 12 = 3(x - 4)

Solving :

  • x + 12 = 3x - 12
  • 3x - x = 12 + 12
  • 2x = 24
  • x = <u>12 years</u>

<u></u>

Hence, Kishor's present age is <u>12 years</u>.

8 0
2 years ago
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Studentka2010 [4]

Answer:

Step-by-step explanation:

f

(

x

)

=

−

4

(

x

−

8

)

2

+

3

Set the polynomial equal to  

y

to find the properties of the parabola.

y

=

−

4

(

x

−

8

)

2

+

3

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

−

4

h

=

8

k

=

3

Since the value of  

a

is negative, the parabola opens down.

Opens Down

Find the vertex  

(

h

,

k

)

.

(

8

,

3

)

Find  

p

, the distance from the vertex to the focus.

Tap for more steps...

−

1

16

Find the focus.

Tap for more steps...

(

8

,

47

16

)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x

=

8

image of graph

3 0
2 years ago
Which function is shown on the graph?
malfutka [58]
B.)
I can tell because the sin func starts from the top at 0 (if sin is positive)
4 0
2 years ago
sarah teacher asked her to writte fifteen thousand and four in numerals she wrote 150,004 is she correct
Arada [10]

Answer:

no

Step-by-step explanation:

it would be 15,004 not 150,004

7 0
2 years ago
Read 2 more answers
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