Is the relationship in this picture a functionif so why?
1 answer:
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Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)
Answer:
The number of pipes to be cut from total length of pipe is 10 pipes
Step-by-step explanation:
Given as :
Total length of pipe = l = 7 foot
i.e ' = foot
The length of pipe to be cut = l' = foot
Let The number of pipes to be cut = n pipes
<u>According to question</u>
The number of pipes to be cut =
i.e n =
Or, n =
Or, n =
or, n = 5 × 2
∴ n = 10 pipes
So, The number of pipes to be cut = n = 10 pipes
Hence, The number of pipes to be cut from total length of pipe is 10 pipes Answer