X² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0
the zeros will be at x = -7  and x =4
∴ the solution of inequality 
x ∈ (-7,4)
See the attached figure
 
        
        
        
Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We then have: 
For f (x):
The cut point for the y axis is:
For g (x):
The cut point with the y axis is:
The value of k is given by the vertical displacement of graph k units.
We then have:
Let's clear k:
I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out
 
        
             
        
        
        
Just subtract 45 - 28 = 17 lollipops
Hope this helps!!!
        
                    
             
        
        
        
Answer:
250 litters
Step-by-step explanation:
To solve this question, we first need to know the conversion from cubic meter to liter.
1 cubic meter is equal to 1000 liters.
So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:
1 m3 -> 1000 L
1/4 m3 -> x L
x * 1 = (1/4) * 1000
x = 1000 / 4 = 250 L
So we need 250 liters of water.
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
2 to 3 means that the ratio of romantic students has a numerator of 3. If there is a numerator of 3 the denominator has to be 5 because 2+3 is five if the fraction is 3/5, then the answer is A.