Answer:
$5.10
Step-by-step explanation:
The owner buys 5 panes of glass for $12.75. So to find the cost of 1, we need to divide the total cost by the amount of planes. In this case, 12.75 divided by 5. This gives you $2.55 per plane. And since he is buying 2 more, we would multiply the cost of the plane (2.55) by the amount we are buying (2). So we do 2.55 X 2 and we get $5.10
22 divided by 2 is 11 and 11 plus 3 is 14 so your answer is 14
I assume the first part of that equation is x^2. -7/2= 3.5 ; 3.5^2=12.25 sooo it should end up as x^2-7x + 12.25. but I might be wrong.
Answer: 8:15 P.M.
Step-by-step explanation: 3:35 plus a total of 4 hours and 40 minutes
3:35 --- 7:35 ( +4 hours )
7:35 --- 8:15 ( +40 minutes )
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.
