Remember you can do anything to an equaiton as long asyou do it to both sides
4v+18≥6v+10
minus 4v both sides
4v-4v+18≥6v-4v+10
0+18≥2v+10
18≥2v+10
minus 10 both sides
18-10≥2v+10-10
8≥2v+0
8≥2v
divide both sides by 2
8/2=(2v)/2
4≥(2/2)v
4≥1v
4≥v
v≤4
        
                    
             
        
        
        
The original ribbon was 18 inches long.
hope it helps
        
             
        
        
        
Answer:
option A
(1.5,1.2)
Step-by-step explanation:
Given in the question two equations
Equation 1
y = √x
Equation 2
y = x²- 1
Equate both equations
√x = x²- 1
<h3>1 method </h3><h3>by plotting graph</h3>
We can see from the graph that both meets when x =  1.5 and y = 1.2
<h3>2 method </h3>
we can plug the options given one by one to see which points satisfy 
one thing we know is that x ≠ any negative value since 
y = √x and square root of negative value is not possible
so option b and c are rejected 
   option A
√1.5 = y = 1.2
 1.5²- 1 = y = 1.2
 
        
             
        
        
        
Considering the capacity of each cup, the inequality that models the situation is:
D) 14x + 8y ≤ 192
- A large cup holds 14 ounces of lemonade.
- A small cup holds 8 ounces of lemonade.
From the bullet-point, the total amount that can be held is:

She has enough supplies to make a maximum of 192 ounces of lemonade, hence:


Hence option D is correct.
To learn more about inequalities, you can take a look at brainly.com/question/25738340