1.) -4(n-7)+4n=-8-3(n-5)

2.) 4(-8n+10)+4(4n-4)=-6n+2n

Step-by-step explanation:

1) n = - 7       2) n = 2

Step-by-step explanation:

1)

-4(n-7)+4n=-8-3(n-5)  Let's multiply it out

-4*n - 4* (-7) + 4n = - 8 - 3*n -3 * (- 5)

-4n + 28 + 4n = - 8 -3n +15     Combine like terms

-4n + 4n + 28 = -8 + 15 - 3n

28 = 7 - 3n  Subtract 7 from each side

28 - 7 = 7 - 7 - 3n

21 = - 3n  Divide each side by -3

21 / -3 = - 3n / -3     -3 cancels on the right

21 / -3 = n

- 7 = n

2)

4(-8n+10)+4(4n-4)= -6n+2n Multiply it out

4 * - 8n + 4 * 10 + 4 * 4n + 4 * (-4) = - 6n + 2n

- 32n + 40 + 16n - 16 = - 6n + 2n  Combine like terms

- 32n + 16n + 40 - 16 = - 6n + 2n

- 16n + 24 = - 4n   Add 16n to each side

- 16n + 16n + 24 = - 4n + 16n

24 = 12n  Divide each side by 12

24/12 = 12n/12      12 cancels on the right

24/12 = n

2 = n

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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