Answer:
see explanation
Step-by-step explanation:
(8)
the common ratio r, of a geometric sequence is
r =
=
= ......
r =
=
= 8
(9)
The simplest way to evaluate the sum is to substitute k = 3, 4, 5, 6 into each term and sum them
(- 9 + 20) + (- 12 + 20) + (- 15 + 20) + (- 18 + 20)
= 11 + 8 + 5 + 2 = 26
Answer:
21 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 3 bracelets
Using cross products
7*3 = 1x
21 = x
21 inches
g(x) = (x - 3)² - 4
given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)
If f(x) is shifted by a units horizontally left → f(x) → f(x + a)
If f(x) is shifted by b units vertically up → f(x) → f(x) + b
If f(x) is shifted by b units vertically down → f(x) → f(x) - b
The vertex (0, 0) of f(x) has shifted to (3, -4)
that is 3 units horizontally to the right and 4 units vertically down
hence g(x) = (x - 3)² - 4
Answer:
Value of y is 1536.
Step-by-step explanation:
We have given an expression 
We need to find the value of y when x=8
We will substitute the value of x as 8 in the given expression we get

On simplification we get

On further simplification we get:

Hence, the required value that is the value of y is 1536
x= r - h/y subtract r from both sides
x-r = -h/y multiply each side by -y
-y(x-r) = h
-xy +yr = h