Answer:
B
Step-by-step explanation:
f(x) = 
=> f(x)= 
=> f(x) = 
=> f(x) = 
=> f(x) = 
The series in the form of arithmetic progression
The notation of A.P is a, a+d, a+2d.....
The summation notation is â‘
In this series a=3, d=7
Then the summation of A.P is â‘ = n/2(2a+(n-1)d)
=18/2(2*3+ (18-1)7)
= 9(6+17(7))
=9(6+119)
=9(125)
= 1125
Hence the total number of beads is 1125
(x-10)(x-2)=0
x(x-2) -10(x-2)=0
x^2 -2x -10x -20 =0
x^2 -12x -20= 0
Answer: 4
Step-by-step explanation:
The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:
x = k / ✓y
When x = 12, y = 9
We have to calculate the constant of proportionality, k which will be:
12 = k / ✓9
12 = k / 3
k = 12 × 3
k = 36
To find the value of x when y = 81 will be:
x = k / ✓y
x = 36 / ✓81
x = 36 / 9
x = 4
Therefore, x = 4 when y = 81.
Answer: Discounted function will be

Step-by-step explanation:
Since we have given that
Initial cost of solar energy = $9000
Average annual cost of heating a home with solar energy = $200
Rate of discount he received on the total cost = 25%
Let the number of year will be t
According to question, we need to write a discounted cost as a function of number of years.
So, our function becomes,

Hence, discounted function will be
