Which of these ordered pairs is a solution to the linear inequality y> 3x + 2? (-2,-7) (-1,-5) (2,8) (2,9)

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y > 3x + 2

for (-2, -7) → x = -2, y = -7

-7 > 3(-2) + 2

-7 > -6 + 2

-7 > -4         FALSE

for (-1, -5) → x = -1, y = -5

-5 > 3(-1) + 2

-5 > -3 + 2

-5 > -1      FALSE

for (2, 8) → x = 2, y = 8

8 > 3(2) + 2

8 > 6 + 2

8 > 8       FALSE

for (2, 9) → x = 2, y = 9

9 > 3(2) + 2

9 > 6 + 2

9 > 8       TRUE

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:

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: