Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as:  . Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
hello : 
g(x) = (x+2)(x-4)/(x+2)(x-1)
1 )  this function no exist for if : x= -2 and 1
so the denominater is : (x+2)(x-1) 
so : b= 2  and c=1
2) the x- intercept is : 4
so the numerater is : (x+2)(x-4)
g(x) =0 if : (x+2)(x-4)=0
means x-4=0    ...   (  x+2 ≠ 0)
note : 
g(x) ≠ (x-4)/(x-1) except in the case  x ≠ -2   
 
        
             
        
        
        
Y = mx + c
y = 2x + c
When x = 5 and y = 0,
0 = 2(5) + c
c = -10
y = 2x - 10
        
             
        
        
        
Answer:
19
Step-by-step explanation:
f(x)=2/3
2/3=-1/3x+7
Subtract 7 from both sides
2/3-7=-1/3x
-6 1/3 = -1/3x
Multiply both sides by -3
-3(-6 1/3)=-1/3x(-3)
19 = x
 
 
        
             
        
        
        
Answer:
figure skates will be $1 cheaper.
Explanation:
<u>given equation</u>:
- to rent figure skates : f(x) = 1.50x + 2
- to rent hockey skates : h(x) = 2x +1.5
<u>solve for rent of figure skates</u>:
 f(x) = 1.50x + 2.00
f(3) = 1.50(3) + 2.00
f(3) = 6.5
<u>solve for rent of hockey skates</u>:
h(x) = 2x + 1.5
h(3) = 2(3) +1.5
h(3) = 7.5
<u>cheaper - figure skates than hockey skates</u>:
$7.5 - $6.5
$1