For the equation, complete the given ordered pairs. !

((4,19), (\frac{-3}{4},0), (-6,-21))

Step-by-step explanation:

We have the linear equation given by, y = 4x + 3.

So, for the ordered pairs, we will substitute the given co-ordinate in the equation to find the other co-ordinate.

1. We are given, x = 4.

So, y = 4x + 3 ⇒ y = 4 × 4 + 3 ⇒ y = 16 + 3 ⇒ y = 19.

Hence, the ordered pair is (4,19).

2. It is given that y = 0.

So, y = 4x + 3 ⇒ 0 = 4x + 3 ⇒ 4x = -3 ⇒

Thus, the ordered pair is (\frac{-3}{4},0).

3. We have, y = -21

So, y = 4x + 3 ⇒ -21 = 4x + 3 ⇒ 4x = -21-3 ⇒ 4x = -24 ⇒ x = -6.

So, the ordered pair is (-6,-21).

Hence, we get that the ordered pairs are ((4,19), (\frac{-3}{4},0), (-6,-21)).

The ordered pairs are (4, 19) ,  and ( -6, -21)

Step-by-step explanation:

We are given equation y = 4x + 3

We have to complete the given ordered pairs.

1) (4, u)  

We are given x coordinate and we have to find the y coordinate

substitute x and y values in given equation y = 4x + 3

u = 4(4) + 3 = 16 + 3 = 19

thus, (4,u) is (4, 19)

2) (v , 0)

We are given y coordinate and we have to find the x coordinate

substitute x and y values in given equation y = 4x + 3

0 = 4(v) + 3

-3 = 4v

thus, (v,0) is

3) (w, -21)

We are given y coordinate and we have to find the x coordinate

substitute x and y values in given equation y = 4x + 3

-21 = 4(w) + 3

-21 -3 = 4w

-24 = 4w

w = -6

Thus, (w, -21 ) is ( -6, -21)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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step-by-step explanation:

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