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Dmitrij [34]
3 years ago
6

2x^2-3x=0 helppppppppppp with steps pls

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

x=0, x=3/2

Step-by-step explanation:

2x^2-3x=0

Factor out an x

x(2x-3) =0

Using the zero product property

x = 0         2x-3 =0

                  Add 3 to each side

                2x-3+3 =0+3

                 2x =3

                 divide each side by 2

                2x/2 = 3/2

                   x=3/2

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Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
This questionn please
nasty-shy [4]
Let X be the total number of guests
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(17+828)/36
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3 years ago
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rodikova [14]

After the translation 4 units down

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The graph will be as following

============================================================================

For the graph of the triangle:

D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)

it is required to graph after translation 7 units left and 8 units up

So, for each point add ( -7 , 8 )

So,

D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)

the graph will be as following:

4 0
2 years ago
The houses of pine street are numbered from 1-40. How many houses contains the at least once ​
vaieri [72.5K]

Answer:

the houses that contain least once is 20 below

Step-by-step explanation:

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77julia77 [94]

Answer:

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