Answer:
solution is
[-3,-1]
Step-by-step explanation:
we are given
Firstly, we will find critical values
so, let's assume it is equal
now, we can break absolute sign
For :
we can solve for x
Add both sides by 20
Divide both sides by -10
and we get
For :
we can solve for x
Subtract both sides by 20
Divide both sides by 10
and we get
so, critical values are
now, we can draw a number line and locate these values
and then we can check inequality on each intervals
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-5
so, this is FALSE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=-2
so, this is TRUE
For :
We can select any random value from this interval and plug that in inequality
and we get
we can plug x=0
so, this is FALSE
so, solution is
[-3,-1]
When it comes to hundreds and thousands and even millions, you can tell how much bigger something is by how many more zeros are at the end. Each new zero added, is another rank up. The system goes:
1=10x bigger
2=100x bigger
3=1000x bigger
4=10000x bigger
5=100000 bigger
so on and so forth. There are 2 zeros in 700, and only 1 zero in 70, the difference in zeros is 1, so you can refer to the chart and conclude that 700 is 10 times bigger than 70. You could also divide 700 by 70 to get 10. This is more accurate, but the chart is simpler.
Answer: 60
Step-by-step explanation:
The three interior (inside) angles in a triangle will always add up to 180°.
60 + 60 + y = 180
120 + y = 180
-120
y = 60
60 * 3 = 180
Answer:
165
Step-by-step explanation:
Because you can't order 7/8 of a pizza you would have to order 165 pizzas so that every body gets one slice. Hope this helped!
Answer:
180 miles
Step-by-step explanation:
This is a distance-rate-time problem. We need to use the equation: d = rt, where d is the distance, r is the rate, and t is the time.
Here, r = 60 mph and t = 3 hours. Plug these in to find d:
d = rt
d = 60 * 3 = 180 miles
Hope this helps!