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juin [17]
3 years ago
6

Find the equation of the linear function represented by the table

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

Step-by-step explanation:

(1, 2) (2, 7)

(7-2)/(2 - 1) = 5/1= 5

y - 2 = 5(x - 1)

y - 2 = 5x - 5

y = 5x - 3

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A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version  of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version  of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

x+y=1310\ \ \ \ \ equation\ 1

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version  of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

2.1x+4.4y=4752

Multiplying with 10 on both side, we get;

10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2

Now multiplying equation 1 by 21, we get;

21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3

Now subtract equation 3 from equation 2, we get;

(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870

On substituting the value of y in equation 1, we get the value of x;

x+y=1310\\\\x+870=1310\\\\x=1310-870=440

Hence There were 440 Standard version of songs downloaded in Web music store.

7 0
3 years ago
Please help!
Alex_Xolod [135]
The answer is y=-3x+41
can i get brainliest???
4 0
3 years ago
Solve for z in 8 + 6/2 = 53.
densk [106]
There is no z in this equation?
4 0
3 years ago
What are the roots to<br> the equation<br> 2x² + 6x-1=0?
lys-0071 [83]

Answer:

The roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}    

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = \frac{ - b}{a}

And products of roots = \frac{c}{a}

So, m + n = \frac{ - 6}{2} = - 3

And m × n =  \frac{ - 1}{2}

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 (\frac{ - 1}{2})

Or, (m - n)² = 9 + 2 = 11

I.e m - n = \sqrt{11}

Again m + n = - 3    And m - n = \sqrt{11}

Solving this two equation

(m + n) + ( m - n) = - 3 + \sqrt{11}

I.e 2 m =  - 3 + \sqrt{11}

Or, m = \frac{-3}{2} + \frac{\sqrt{11} }{2}

Similarly n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      

Hence the roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      Answer

6 0
4 years ago
Which one is greater 140% or 0.14
Ivan
140% because you can convert 0.14 to 14% or u can convert 140% to 1.4.
4 0
3 years ago
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