Answer:
1. P^2-10p+16=0
Step-by-step explanation:
To rewrite the given equation in terms of
, you need to simplify the equation such that the most number of "
" appears. Thus, factor the right side.
(4x−7)2+16=40x−70
(4x−7)2+16=10(4x−7)
, replace each
p=4x−7
Since
with
4x−7
.
p
p2+16=10p
Rewriting the equation in Standard form... p^2−10p+16=0
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
x = total amount of visitors
so we have 90% that lost $100, 9% that lost $1000, now 90+9 = 99%, what's left is just 1% then, so 1% won $10,000.
Profit is Revenue - Cost.
so the profit for the casino, is not who wins, because from the wins the casino needs to pay that to the winner, so they're losing that much, so for the casino, profits is when a player loses, so their profit will come from the 99% that lost money then.
keeping in mind that
since we know that 90% lost $100, that means 0.9x(100) is the total amount lost by all of them, since we also know that 9% lost $1000, then 0.09x(1000) is the total amount lost by them, and the wins are of course just 0.01x(100000).
(9x - 8)(9x + 8)
9x × 9x = 81x²
9x × 8 = 72x
-8 × 9x = -72x
-8 × 8 = -64
= 81x² + 72x - 72x - 64
The 72x cancels out, so you're left with 81x² - 64.
The answer is 81x² - 64.
Answer:
Science students
When you find the average both plots using median, mean, or interquartile range, you will find that the score for the science students will always be greater than the score of the mathematics students. This is because none of the mathematics students scored higher than the science students, so the mean will always be greater.
MATHEMATICS :
Plot interval = 30 to 50
MEAN :
(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324
Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9
Mean = 324 / 9 = 36
BOTTOM :
SCIENCE :
MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =
406
SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9
406 / 9 = 45.111
Step-by-step explanation: hope this helps
