Answer:
1.4
Step-by-step explanation:
12x+3x=15+6
15x=21
X=21/15
X=7/5 or 1.4
 
        
             
        
        
        
Answer:
<h3>The length of y is 62.82 cm.</h3>
Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know, 

Therefore,

Plugging values of  and x=36.25, we get
 and x=36.25, we get

Plugging value of  in above equation, we get
 in above equation, we get 

On multiplying both sides by y, we get 

0.577y=36.25
Dividing both sides by 0.577, we get 

y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>
 
        
             
        
        
        
Answer:
Step-by-step explanation:
18x-6=120
18x=120+6
18x=126
     x=126÷18
     x=7 
 
        
             
        
        
        
An alternating series 

 converges if 

 is monotonic and 

 as 

. Here 

.
Let 

. Then 

, which is positive for all 

, so 

 is monotonically increasing for 

. This would mean 

 must be a monotonically decreasing sequence over the same interval, and so must 

.
Because 

 is monotonically increasing, but will still always be positive, it follows that 

 as 

.
So, 

 converges.
 
        
        
        
Answer:
reflections across the x axis and a shift down 3 units
Step-by-step explanation:
y = x^2
The negative sign means  it is a reflection across the x axis y = −f(x)
y = -x^2
The subtraction of 3 means we are shifting down 3 units
y = -x^2 -3