a) Factor 9x² + y² + z² - 6xy + 2yz - 6xz
This looks a lot like
(x+y+z)² = x² + y² + z²+ 2xy + 2yz + 2xz
except instead of x there's (-3x). So this must be
(-3x+y+z)² = (-3x)² + y² + z² + 2((-3x)y + (-3x)z + yz)
= 9x² + y² + z² - 6xy + 2yz - 6xz
Looks good.
Answer: (-3x+y+z)²
Since it's a square we could also negate the inside and write this (3x-y-z)²
b) I'll guess that says we want to evaluate this when x=1, y=2, z= -1
(-3(1) + 2 -1)² = (-2)² = 4
Answer: 4
Answer:
IM PRETTY SURE ITS 44
Step-by-step explanation:
I HOPE IM RIGHT
Answer:
i x = 0
ii x = 5,9
iii y = 12
iv y = 0
Step-by-step explanation:
0 = 12x²/(x - 5)(x - 9)
0 = 12x²
0 = x²
x = 0
ii vertical asymptotes at x = 5, 9
asymptotes occur as either term (x - 5)(x - 9) approaches zero
iii horizontal asymptote y = 12
function essentially becomes 12(∞²)/∞² = 12(1) as x goes to ±∞
iv y = 0 where x = 0
The original 15 people are 10% of the total number of people who received the mail.
Step-by-step explanation:
Given,
Number of people who received mail = 15
Mail further sent to 3 more friends;
Number of people who received mail from 15 people = 15*3 = 45 people
Number of people who received mail from 45 people = 45*2 = 90 people
Total number of people = 15+45+90 = 150 people
Now,
Percent of original people = 
Percent of original people = 
The original 15 people are 10% of the total number of people who received the mail.
Keywords: multiplication, percentage
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