Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube
remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3
all of them should be perfect cubes
215x^18y^3z^21
split them up to see which ones need changing
215=5*43, not a perfect cube
could be changed to 6^3, which is 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
the 215 needs to be changed
S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10
Okay so probability is just percentage of a whole, right?
So you have 14 White Eggs + 15 Brown Eggs + 11 Lemons.
Add all those numbers together and you get your whole.
14 + 15 = 29 29+11 = 40
40 is your whole.
So because you want to know how likely it is to pick up an egg, you would follow these steps.
100/40 = 2.5 (For each part of the 40, it is worth 2.5 percent.)
2.5 x 29 = 72.5
Your probability of picking an egg out of the bask is 72.5 percent or 72.5 out of 100.
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
