Answer:
see below
Step-by-step explanation:
The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.
So inequality which models this situation will be -40°C < T < 125°C
Now we have to show this inequality in Fahrenheit temperature with the help of 
So the compound inequality in Fahrenheit temperature will be

Answer:
Step-by-step explanation:
First, write an equation. 55x+40=190.
X represents the hours the electrician works. The 55 represents the $55 that she charges for each hour she works. The +40 for the $40 that was the price just to come to your house. The 190 is the total cost. Now, solve that equation.
55x+40=190
55x=150
x=2.72727272...
So the answer is 2.727 hours. It can be rounded as needed or turned into a decimal, 2 8/11.
Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:

