Which of the following is the correct graph of the solution to the inequality - 82 -5x + 2 > -38? -9-8-7 -6
- 5
-4 -3
-2-1
0
1
2
3
4
5
6
7
8
9
-9-8-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
-9-8-7-6
- 5 - 4
-3
-2
- 1
0
2.
3
4
5
6
7
8
9
-9-8-7 -6 -5
4
-3 -2
-1
0
1
2
3
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7
4
5
6
8
9

8

step-by-step explanation:

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.