Um I need help on this question too!!:( hshshshshanja
Answer:
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Step-by-step explanation:
As given, Total length of the board = 29 ft
Let the board is divided into 3 pieces
Suppose that the length of first piece = x ft
As given, the second piece is 4 times longer than the first
⇒Length of second piece = 4x ft
Also given, the third piece is 3 times longer than the second.
⇒Length of third piece = 3(4x) = 12x ft
Now,
As total length of board = 29
⇒ x + 4x + 12x = 29
⇒ 17x = 29
⇒ x =
= 1.7058823 ft
∴ we get
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Answer:
The correct answer is:
The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).
Step-by-step explanation:
Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.
To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:
f(x) = x²-2x+1+3-1
The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:
f(x) = (x-1)²+2
This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).
Simple interest
= $ {(300×6.2×1)/2}/100
= $ (1860/3)/100
= $ (620/100)
= $ 6.2
...so??? What do you need