What is 0.03703704 as a fraction
2 answers:
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Answer:
- b = {20, -20}
Step-by-step explanation:
<u>Given function:</u>
- f(x) = -x² + bx - 65 with maximum value of 35
<u>To find </u>
- The value of b
<u>Solution:</u>
Maximum value is obtained at vertex as a < 0
<u>Vertex coordinate of x is:</u>
- x = -b/2a = -b / -2 = 1/2b
<u>Solving for b:</u>
- 35 = - (1/2b)² + b(1/2b) - 65
- - 1/4b² + 1/2b² = 100
- 1/4b² = 100
- b² = 400
- b = √400
- b = ± 20
See attached
Given:
Roots:
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
Next, we expand the terms.
Then, we plug in x= -1, and y=4 into the equation to get the value of a.
So,