Answer:(-5,-7)
Step-by-step explanation:
Rewrite in Vertex form and use this form to find the vertex (h,k)
Answer:
A(h) = h²/2 - 6*h + 10
Step-by-step explanation:
The garden is rectangular, and area of a rectangle is:
A(r) = L*w
Where L is the length and w is the width of the rectangle
Now if we call "h" the length of the house, we have the following expressions
L = h - 2 and
w = h/2 - 5
The expression for the area f the ectangle as a function of the length of the house is:
A(h) = ( h - 2 )* ( h/2 -5 )
A(h) = h²/2 - 5*h - h + 10
A(h) = h²/2 - 6*h + 10
Answer:
c, d and f are rational numbers
Step-by-step explanation:
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
Answer:
I think it's 774
Step-by-step explanation:
it might be that answer
