F(x) = x²
g(x) = x - 3
g(-2) = (-2) - 3 = -5
f(-5) = (-5)² = 25
Answer : <span>(fog)(-2) = 25</span>
        
             
        
        
        
Set up the equation by writing the number of students in the ratio as a fraction:
3/4= (245-x)/x Cross multiply:
3x= 4(245-x) Multiply on right:
3x= 980-4x Add 4x on both sides:
7x= 980 Divide both sides by 7:
x= 140 this is how many girls there are. And:
245-140= 105= boys
 
        
                    
             
        
        
        
Answer:
both these equations are the examples of associative property.
#1 is the example of associative property with respect to multiplication.
#2 is the example of associative property with respect to addition.
 
        
             
        
        
        
Answer:
(-3,5) Quad 2
(4,-1) Quad 4
(2,0) Positive X axis
(2,2) Quad 1
(-3,-6) Quad 3
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase  in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase  in the length of the shadow  
We have by sin rule;
90/(sin (22°)  = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°)  = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore; 
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.