we have
f(x)
and
g(x)=-2f(x)+5
so
step 1
First transformation
Reflection about the x-axis
so
f(x) -----> -f(x)
step 2
Second transformation
A vertical dilation with a scale factor of 2
so
-f(x) ------> -2f(x)
step 3
Third transformation
A translation of 5 units up
so
-2f(x) -------> -2f(x)+5
 
        
             
        
        
        
In a bag of snack mix:
n = nuts       d = dried fruit
n = 744g        d = ???g
Ratio Nuts/Dried fruit = 12/13
This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits
If 744 is 12 parts then 744/12 is 1 part
744/12 = 62 
1 part = 62g
there are 13 parts of dried fruit
13 x 62 = 806
744g of nuts + 806g of dreid fruit = 1550g
Answer: A batch of snack mix weigh 1550g, or 1.55kg
hope it helps :)
 
        
             
        
        
        
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5 
So, the correct answer is B, 5 hours
 
        
             
        
        
        
Answer:
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Step-by-step explanation:
Melissa was charged $3 each time she used the ATM at work
She used the work ATM 24 times in a month.
Charge per usage= $3
Number of times of usage= 24
By how much did her bank account change from using the ATM at work
Total charges = charge per usage × Number of times of usage
= 3 × 24
= 72
Total charges = $72
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month