Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
•
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ =
, then
a₁
=
→ (2)
Divide (2) by (1)
=
= 
Hence r =
= 
Substitute this value into (1)
a₁ × (
)³ = 24
a₁ ×
= 24, hence
a₁ = 24 × 27 = 648
Answer:
It is 83.35 Unless your rounding up then it is 84 dollars
Step-by-step explanation:
Answer:
50 degrees ( Vertically opposite)
Hope it helps
Step-by-step explanation:
-11/12 +5/12 = - 6/12= - 1/2
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have




Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9