Answer:
A, B, & C
Step-by-step explanation:
A: -5x +12 = -12x - 12
+12x +12x
7x + 12 = -12
-12 -12
7x = -24 [Divide both sides by 7 to get x]
x = -24/7
B: −5x + 12 = 5x + 12
-5x -5x
-10x + 12 = 12
-12 -12
-10x = 0 [Divide both sides by -10 to get x]
x = 0
C: −5x + 12 = 5x − 5
-5x -5x
-10x + 12 = -5
-12 -12
-10x = -17 [Divide both sides by -10 to get x]
x = 17 / 10
D: −5x + 12 = −5x − 12
+5x +5x
12 ≠ -12 [The statement is false, so it isn't the correct answer]
Answer:
(0,5)
Step-by-step explanation:
we have
----> inequality A
----> inequality B
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities of the system (makes true both inequalities)
Verify each ordered pair
Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B and then compare the results
case 1) (0,5)
For x=0,y=5
<em>Inequality A</em>

----> is true
so
The ordered pair satisfy inequality A
<em>Inequality B</em>

---> is true
so
The ordered pair satisfy inequality B
therefore
The ordered pair would be a solution of the system
case 2) (5,2)
For x=5,y=2
<em>Inequality A</em>

----> is true
so
The ordered pair satisfy inequality A
<em>Inequality B</em>

---> is not true
so
The ordered pair not satisfy inequality B
therefore
The ordered pair is not a solution of the system
case 3) (0,4)
For x=0,y=4
<em>Inequality A</em>

----> is not true
so
The ordered pair not satisfy inequality A
therefore
The ordered pair is not a solution of the system
case 4) (6,0)
For x=6,y=0
<em>Inequality A</em>

----> is not true
so
The ordered pair not satisfy inequality A
therefore
The ordered pair is not a solution of the system
Answer: C. r+6>45
Step-by-step explanation:
Since, Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week.
If she runs r rotations then, for the value of r, 
Since, If she has already 6 rotations
Therefore total rotation she has = r+6
Thus, if
⇒
So, Option C is the correct option.