Answer:
<2 and <8
Step-by-step explanation:
3.8 is the answer you already figured it out
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
B
Step-by-step explanation:
The graph starts at 15, so that's the y intercept and the Gallons of gasoline is going down so the slope is negative
Hello there!
Your answer is none of the above.
The answer for a would be -9, which is rational
The answer or a would 1/3, which is rational
The answer for c would be 3, which is rationonal
The answer for D would be 1/9, which is rational
Hope I helped!
Let me know if you need anything else!
~ Zoe
