Answer:
35
Step-by-step explanation:
A quadratic sequence is a form. of mathematical progression of numbers in which the subsequent differences between each consecutive term differ by the exact amount. This is known as the common second difference.
Hence in this case,
we have
S= 3+8+15+24+…..+Tn - 1.
S=. 3+8+15+……………..Tn-1 + Tn
Deducting 2nd series from the first
We have 0=3+5+7+…….Tn
Hence, we have Tn= n (n+2)
= 24 (9+2)
= 24 + 11
= 35
The parabola will show the vertex in the format: y-k = (x-h)^2, where the vertex point
lies at (h, k).

let's first put it in "y =" standard format:

Since we cannot get a perfect square out of this, we complete the square: a=1, b=2, c=3
(b/2)^2 = (2/2)^2 = 1, so

So there's +2 leftover, since 3-1=2; so:

Now we'll subtract the 2 from both sides to show our vertex:

where our vertex (h, k) is at (-1, 2)
Answer:
B. 24
Step-by-step explanation:
Since both triangles are similar, therefore,
GM/XD = AG/KX
(x - 2)/6 = (x + 9)/9
Cross multiply
9(x - 2) = 6(x + 9)
9x - 18 = 6x + 54
Collect like terms
9x - 6x = 18 + 54
3x = 72
Divide both sides by 3
x = 72/3
x = 24
Let's assume
number of birds with 2 wings is x
number of birds with 4 wings is y
A nature museum has 2008 specimens of early birds
so,

Total of wings of 2 wings bird =2x
Total of wings of 4 wings bird =4y
The specimens have a total of 4384 wings
so, we get

we can divide both sides by 2

so, we get system of equations as


we can solve for x and y
We can subtract both equations





so,
number of birds with 2 wings is 1824
number of birds with 4 wings is 184.............Answer