Answer:
y = 0, y = , y = 7
Step-by-step explanation:
Factor out from each term
( 3 - 22 + 7) = 0 , that is
(3y² - 22y + 7) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
product = 3 × 7 = 21 and sum = - 22
The factors are - 21 and - 1
Use these factors to split the y- term
3y² - 21y - y + 7 ( factor the first/second and third/fourth terms )
3y(y - 7) - 1 (y - 7) ← factor out (y - 7) from each term
(y - 7)(3y - 1)
Then
(y - 7)(3y - 1) = 0
Equate each factor to zero and solve for y
= 0 ⇒ y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y =
y - 7 = 0 ⇒ y = 7
Number of male students with X hair + Number of female students with X hair = Total number of students with X hair
(where X is any hair color)
Number of Y students with brown hair + Number of Y students with blonde hair + Number of Y students with hair of another color = Total number of Y students with any hair color
(where Y is either male or female)
Total number of male students + Total number of female students = Total number of students with brown hair + Total number of students with blonde hair + Total number of students with hair of another color = Total number of students overall
There are 39 total students. 21 of them are female. So 39 - 21 = 18 of them are male.
13 students had brown hair. 11 had blonde hair. So 39 - 13 - 11 = 15 had hair of another color.
13 students had brown hair. 5 male students had brown hair. So 13 - 5 = 8 female students had brown hair.
11 students had blonde hair. 4 female students had blonde hair. So 11 - 4 = 7 male students had blonde hair.
18 students are male. 5 had brown hair and 7 had blonde hair. So 18 - 5 - 7 = 6 of them had hair of another color.
21 students are female. 8 had brown hair and 4 had blonde hair. So 21 - 8 - 4 = 9 of them had hair of another color.
Put all this into the table (see attached).
Answer:
pink
Step-by-step explanation:
hi
15% of what is 24
0.15x = 24
x = 24/0.15
x = 160 workers
Answer:
x= -9
Step-by-step explanation:
2(x - 3) + 1 = 3x + 4
2x-6+1=3x+4
2x-5=3x+4
-2x -2x
-5=x+4
-4 -4
-9=x
Hope this helps! ;)