<span>Answer:
Its too long to write here, so I will just state what I did.
I let P=(2ap,ap^2) and Q=(2aq,aq^2)
But x-coordinates of P and Q differ by (2a)
So P=(2ap,ap^2) BUT Q=(2ap - 2a, aq^2)
So Q=(2a(p-1), aq^2)
which means, 2aq = 2a(p-1)
therefore, q=p-1
then I subbed that value of q in aq^2
so Q=(2a(p-1), a(p-1)^2)
and P=(2ap,ap^2)
Using these two values, I found the midpoint which was:
M=( a(2p-1), [a(2p^2 - 2p + 1)]/2 )
then x = a(2p-1)
rearranging to make p the subject
p= (x+a)/2a</span>
Answer:
10 and 7x + 1
Step-by-step explanation:
The area of a rectangle is 70x + 10.
Let's factor 70x + 10.
Factor out a common factor of 10.
70x + 10 = 10(7x + 1)
Since the area of a rectangle is length * width, we can let one factor be the length and the other factor be the width.
Possible dimensions are 10 and 7x + 1
Here's the way I see it: 5 cards are drawn, one by one, without replacement. Half (or 26) of the original deck are black and half (26) are white.
P(5 are not black) = P(5 are red)
P(5 are not black) = P(first card is red) * P(second card is red) * P(third card is red)*P(fourth card is red)*P(fifth card is red) =
(26/52) * (25/51) * (24/50) * (23/49) * (22/48) = 0.025 (answer)
We start with 52 cards. We draw one, leaving 51 cards, 25 of which are red. And so on.
Answer:
Step-by-step explanation:
The number of bushels produced is given by:
The owner's income is given by:
Income is given by the price per unit multiplied by the number of units sold. Therefore, the price function can be represented as:
4 divided by 12 -3+4 divided by 6+3 divided by 4
