Amy loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total changes in the amo
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Explanation: <u><em>First you had to add by 3 from both sides. It gave us -3a=3p+1. Then divide into -3 from both sides. It gave us -3a/-3=3p+1/-3, or a=-p+-1/3 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie</em></u>
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Answer:
- a = -2/3, b = 8, c = -24
- y-intercept: (0, -24)
- x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)
- x = 6
- DOWN
- Max: (6, 0)
- Vertex: (6, 0)
- Domain: {x | x ∈ ℝ}
- Range: {x | x ≤ 0}
Step-by-step explanation:
To find a, b, c, compare the given function to ...
f(x) = ax² +bx +c
You will see that ...
- a = -2/3
- b = 8
- c = -24
The y-intercept is the function value for x=0. It is the constant term:
y-intercept = f(0) = -24
Use the above values of a, b to find the line of symmetry.
Per the calculation, the line of symmetry is ...
x = 6
The negative leading coefficient tells you the parabola opens DOWN.
Because it opens down, the vertex at (6, 0) is a Maximum.
As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.
The range is all values below the vertex (including the vertex), so is ...
x ≤ 0
