Solve by completing the square

6k²-k-2=0

k=0.67 or -0.58

Step-by-step explanation:

-(-1)+√-1^2+4(6)(-2)/2(6)

1+√1+48

1+√49/12

0.67

1-√1^2+4(6)(_2)/12

1-√49/12

=-0.58

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls