Answer:
Step-by-step explanation:
Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
NOTE: The vertex gives the maximum point because, from the expression we see that the coefficient of the term that has the highest degree is a negative, and since our polynomial is a quadratic expression then our graph will face down, and this will make the vertex the maximum point.
Answer: 13
Step-by-step explanation:
This is the correct question:
Molly bought a large basket of 60 apples. When she got home, she found 4 rotten ones. If she goes back and buys 200 more apples, how many rotten apples would she expect there to be?
From 60 apples, there are 4 rotten apples. This gives a fraction of:
= 4/60
= 0.06667
Therefore, when she buys 200 apples, tge number of rotten ones expected will be:
= 0.06667 × 200
= 13.334
= 13 approximately
Answer:
14 1/3
if you do 14 1/3 times two then add 8 u get 35
35 - 4h = -1
-4h = -1 - 35
-4h = -36
h = -36/-4
h = 9 <=== it will take 9 hrs
