Because y varies inversely as x, therefore

where k =  constant.
When x = 6, y = 2.5. Ther efore

Cross multiply.
k = 6 x 2.5 = 15
The equation is

When x = 4, obtain

Answer: a. 3.75
 
        
                    
             
        
        
        
Answer:
discriminant: 241
2 real roots
Step-by-step explanation:
The discriminant is the part of the quadratic equation that is under the sqare root
x=(-b±√(b²-4ac))/2a
discriminant: b²-4ac
We also know that a quadratic equation is in the form ax²+bx+c = 0, so we can plug in the values we know from our equation to find the discriminant.
a=4
b=-17
c=3
(-17)^2-4(4)(3)
We also know that if the discriminant 
is positive we have 2 real roots
is 0 we have 1 real root aka a repeated real solution
is negative we have no real roots
 
        
             
        
        
        
Answer:
2.86 gallons
Step-by-step explanation:
If 1/35 gallon of gas = 1 mile
To travel 100 miles, 
1/35 × 100
= 0.0286 × 100
= 2.86 gallons
Therefore, the car needs 2.86 gallons of gas to travel 100 miles. 
 
        
             
        
        
        
Use four popstical sticks on each lob g side then two pop sticks on each of the shorter sides
 
        
                    
             
        
        
        

- Determine the surface area of the right square pyramid.
 

The formula for finding the surface area of a right square pyramid is ⇨ b² + 2bl, where
- b = base of the right square pyramid
 - l = slant height of the right square pyramid.
 
In the given figure,
- base (b) = 4 ft.
 - slant height (l) = 8 ft.
 
Now, let's substitute the values of b & l in the formula & solve it :-

So, the surface area of the right square pyramid is <u>8</u><u>0</u><u> </u><u>ft²</u><u>.</u>