Answer:
c
Step-by-step explanation:
c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v
Answer:
G). 1.2x + 7.92 -3.3x = 41
-2.1x=33.08
x = 33.08/-2.1
x = - 15.752
H). 3x/2 + 9/5 = 12
Multiply through by 10
15x + 18 =120
15x =120-18
15x = 102
x =102/15
x=34/5
I). 5 = 9/4 - r/3
Multiply through by 12
60= 27 - 4r
60 - 27 = -4r
33 = - 4r
r = -33/4
J). 2(x - 2) = 12
2x - 4 = 12
2x = 16
x = 16/2
x = 8
The grade of the path in the mountain is calculated by determining first the ratio between the rise over the run and multiplying the ratio by 100%.
For Path A:
grade = (rise / run) x 100%
grade = (1414/ 3535) x 100% = 40%
<em>Answer: 40%</em>
For Path B:
grade = (rise / run) x 100%
grade = (4.26 m/ 22 m) x 100% = 19.36%
Answer: 19.36%
