Answer:
4
Step-by-step explanation:
The pre-image is the starting coordinates and it then gets larger. when you multiply four by 3 you get 12 and when you multiply four by -4 you get 16. So the pre-image dilated by 4.
 
        
             
        
        
        
Answer:
98.99%
Step-by-step explanation:
The combined reliability of both components must be 98%. Given that both components must be functional and have the same reliability 'r', the minimum value of 'r' that meets the system requirements is given by:

The level of reliability required for each component is 98.99%.
 
        
             
        
        
        
To get an average, you must do the following steps.
step 1:add all the numbers together.
190258.50+152698.00+122753.00+220523.00+231951.00= 918183.5Step 2: divide the ANSWER you get by the amount of numbers there are:
(in this case, it will be 5, because you added 5 numbers together)
918183.5/5
your answer is: 183636.7
that is your average
hope this helps :D
        
             
        
        
        
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0              x-2 = 0 
3x = -1                   x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
 
        
                    
             
        
        
        
Answer:
2
Step-by-step explanation:
