Answer:
P = t - f
Step-by-step explanation:
First we need to find how many pages in total she needs so 1,000/80 - 12.5 so 13 pages. Then 380/80 4.75 of a page filled so subtract that from 12.5 to get 8 pages left to fill.
let p = pages left to fill
let T = total pages needed
let F = pages already filled
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:
You have the same bases, so you can just focus on the exponents.
The difference between 5 and -1 is 6, therefore, the answer is B.
A line extending from the lower left to the upper right has a <em>positive</em> slope.
40: 2,2,2,5
10: 2,5
2 5
2*5=10
GCF is 10
