Answer:
Step-by-step explanation:
given a point  the equation of a line with slope m that passes through the  given point is
 the equation of a line with slope m that passes through the  given point is 
 or equivalently
 or equivalently 
 .
. 
Recall that a line of the form  , the y intercept is b and the x intercept is
, the y intercept is b and the x intercept is  .
. 
So, in our case, the y intercept is  and the x  intercept is
 and the x  intercept is  .
. 
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph  . Which means that
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at  . Using the properties of derivatives, we get
. Using the properties of derivatives, we get 
 . So evaluated at
. So evaluated at  we get
 we get 
Replacing the values in our previous findings we get that the y intercept is 

The x intercept is 

The triangle in consideration has height  and base
 and base  . So the area is
. So the area is 

So regardless of the point we take on the graph, the area of the triangle is always 2. 
 
        
             
        
        
        
Answer:
The explicit formula for the given expression is  .
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is

The explicit formula for an AP is

Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.



Therefore the explicit formula for the given expression is  .
.
 
        
             
        
        
        
Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
 
        
             
        
        
        
Answer: $1.50
Step-by-step explanation:
Cost price of watermelon = $1.25
Profit percent = 20% 
Profit = Profit percent × Cost price
= 20% × $1.25
= 20/100 × $1.25
= 0.2 × $1.25
= $0.25
Selling price = Cost price + Profit
Selling price = $1.25 + $0.25
Selling price = $1.50
They should charge $1.50 for the watermelons
 
        
             
        
        
        
Answer:
=900
Step-by-step explanation: