Can someone help me with 19,20,and 21 will mark brainiest for the first answer and it has to be correct

What is the equation of the line from the table shown? x -1 0 1 y 6 4 2 Question 3 options: y = 2x + 2 y = 1/2 x + 2 y = 1/2 x +

nignag [31]

Answer:

The equation of the line is $y+2x=4$

Step-by-step explanation:

The table shown below is :

$\left[\begin{array}{ccc}x&y\\-1&6\\0&4\\1&2\end{array}\right]$

thus , to find the equation of the line ,

we use the formula :

$\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} - y_{3} }{x_{2} -x_{3} }$

where,

$x$ and $y$ are the variables.

$x_{1} =-1 ; y_{1} = 6; \\x_{2}=0; y_{2} = 4;\\ x_{3}=1 ; y_{3} = 2 ;$

substituting the values in the equation, we get ,

$\frac{y-6}{x-(-1)} = \frac{4-2}{0-1} \\\frac{y-6}{x+1} = \frac{2}{-1} \\y-6=-2*(x+1)\\y-6= -2x-2\\y+2x=4$

∴ The equation of the line is $y+2x=4$

6 0

3 years ago

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.

natta225 [31]

we have

$2x-2y=6$ ------> equation $1$

$4x+4y=28$ ------> equation $2$

Multiply by $2$ the equation $1$

$4x-4y=12$ ------> equation $3$

Sum equation $2$ and equation $3$

$4x+4y=28\\ 4x-4y=12\\ ------\\ 8x=40\\ x=40/8\\ x=5$

Substitute the value of x in the equation $2$

$4x+4y=28$

$4*5+4y=28\\ 4y=28-20\\ 4y=8\\ y=8/4\\y=2$

therefore

the answer is the option B

$(5,2)$

7 0

3 years ago

Read 2 more answers

The value of y is directly proportional to the value of x.If y=35 when x=140, what is the value of y when x=70

Elodia [21]

Y varies x
Invite the constant
y = kx
Kx/x = y/x
K = y/x
Slot in the values
K = 35/140
= 1/4 or 0.25

What is the value of y when x=70
y=kx
y = 35/140 x 70/1
y = 35/2
y = 17 1/2 or 17.5

3 0

3 years ago

Wilda can do a job in 4 hours that karla needs 5 hours to do. If wilda works 1 hour before karla joins her, how long will it tak

mezya [45]

Wilda can do the job in 4 hours ... she does 1/4 (or 0.25) of it each hour.
Karla can do it in 5 hours ... she does 1/5 (or 0.2) of it each hour.

Wilda worked alone for 1 hour ... 0.25 of the job was done before her helper
arrived. So only 0.75 of the job remained to be done together.

Working together, they accomplish (0.25 + 0.2) = 0.45 of the job in 1 hour.

How many times do they need to do 0.45 of the job in order to finish
the 0.75 of it that remains ? That's the number of hours it will take them,
working together.

0.75 / 0.45 = 1 and 2/3

After Wilda worked alone for 1 hour and Karla came along to join her, it will
take them another 1 hour and 40 minutes to finish the job and go for a swim.

8 0

3 years ago

What is the solution to the system of linear equations? y=x-1 y= -x+3

Artemon [7]

Answer: x=2 and y=1

Step-by-step explanation:

8 0

3 years ago