A data set consists of the following data points:
1 answer:
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Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = -
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = - = - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )
We need to simplify this number. We begin by evaluating the numbers inside the equation. We can simplify this to:
Now, we evaluate this one step further. Because a negative exponent makes the number 1 over what it was, we can make this problem:
This becomes:
So, 1/4k is the answer. This is the same as C, so C is the right answer.
Now, we evaluate this one step further. Because a negative exponent makes the number 1 over what it was, we can make this problem:
This becomes:
So, 1/4k is the answer. This is the same as C, so C is the right answer.