Answer:
m^2 - m - 6
Step-by-step explanation:
(m-3)(m+2)
m^2 - 3m + 2m - 6
m^2 - m - 6
Answer:
11.1803398875
Step-by-step explanation:
Let x be the number of pens in a box.
Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14
Jill and Ben have the same pens.
Jill = Ben
3x+2 = 2x + 14
3x - 2x = 14 - 2
1x = 12
x = 12
To check:
Jill = Ben
3x + 2 = 2(x) + 14
3(12) + 2 = 2(12) + 14
36 + 2 = 24 + 14
38 = 38
There are 12 pens or a dozen of pens in a full box.
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point

To solve the equation, you need to treat the two cases as above:

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.