Answer:

Step-by-step explanation:
step 1
Find the equation of the solid line
Find the slope
we have
(0,0.2) and (3,2.2)

The y intercept b is equal to

so
the equation of the solid line in slope intercept form is equal to

step 2
Find the equation of the inequality
we know that
The solution of the inequality is the shaded area below the solid line
therefore

Answer:
• (6, -7)
• (-4, 13)
Explanation:
• Option One
2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}
3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}
• Option Two
2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}
3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}
• Option Three
2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}
3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}
• Option Four
2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}
3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}
13.7*1/10=1.37 So far she has hiked 1.37 miles.
Answer:
9 1/6
You may use a fraction calulator for this question by the way!
Hope this helps!
Sorry if its wrong!
Have a nice day!
Answer:
x = - 1, x = - 11
Step-by-step explanation:
Given
2| x + 6 | - 4 = 6 ( add 4 to both sides )
2|x + 6 | = 10 ( divide both sides by 2 )
| x + 6 | = 5
The absolute value function always gives a positive result, but the expression inside can be positive or negative, that is
x + 6 = 5 or - (x + 6) = 5
solve both
x + 6 = 5 ( subtract 6 from both sides )
x = - 1
or
- (x + 6) = 5 , that is
- x - 6 = 5 ( add 6 to both sides )
- x = 11 ( multiply both sides by - 1 )
x = - 11