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]
Answer:
c = 1
Step-by-step explanation:
"10 is 8% of a": 0.08a = 10, or <u>a = (10/0.08)</u>
"5 is 4% of b": 0.04b = 5, or <u>b = (5/0.04)</u>
"c equals b/a": c = (b/a)
----
What is the value of c?
c = (b/a)
c = ((5/0.04)/(10/0.08))
c = (5/0.04)*(0.08/10)
c = (5/10)*(0.08/0.04)
c = (1/2)*(2)
<u>c = 1</u>
Answer:
Horizontal: y=-8
Vertical: x=-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.9*2b = 1.8b
0.9*-1 = -0.9
So far we have 1.8b-0.9. It can't be simplified further.
Then, we add the 2nd part, -0.5b+1.
We have:
1.8b-0.9-0.5b+1. Next we combine like terms.
1.8b-0.5b = 1.3b.
-0.9+1 = 0.1
Then we put it together.
1.3b+0.1 is our answer.
Hope this helped! Have a nice day :D