Answer:
Step-by-step explanation:
Asymptotes 3
g(x) = 
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
                  = x(x - 5) + 2(x - 5)
                  = (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) = 
Asymptotes 4
h(x) = 
       = 
       = 
       = 
 
        
             
        
        
        
Volume of cylinder= /pi r square h
Taking /pi as 22/7
r= diameter/2
=5m
h=24m
V= 22/7*5 square*24
V=22*25*24/7
V=13200/7
V=1885.7 m cube
 
        
             
        
        
        
D. 180/4=45. That’s the distance in an hour. Then multiply that by 8.
        
                    
             
        
        
        
Answer:
The feasible region in the attached figure
Step-by-step explanation:
Let 
x ----> the number of shirts
y ----> the number of pants
we know that
The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80
so
The inequality that represent this problem is

using a graphing tool
The feasible region is the triangular shaded area
see the attached figure
 
        
             
        
        
        
Answer:
$16.25
Step-by-step explanation:
Half a gallon for $2.50 is the same as a quarter a gallon for $1.25.
If she needs 3.25 gallons, which is 13 quarters, we do $1.25 * 13 = $16.25.
Therefore, she will spend $16.25.