1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
Step-by-step explanation:
Given the following :
- - - Jhs
Basic level - - - - Boys - - - - Girls - - - - Total
Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%
Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%
With the information above,
Primary Dropout percentage:
BOYS : [49 / (49 +51)] × 100.= 49%
GIRLS : [51 / (49 +51)] × 100.= 51%
Jhs: Dropout percentage
BOYS : [56 / ( 56 + 44) × 100 = 56%
GIRLS : [44 / (44 +56)] × 100.= 44%
Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC
ABC is a right angle triangle so apply Pythogorean theorem

(Given that AD = BC)
(Given that AB=3)
...(i)
ADC is a right angle triangle so apply Pythogorean theorem



...(ii)
Plug value (ii) into (i)





Hence final answer is 
Answer: C.It has a negative association
Step-by-step explanation:
Answer:
First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.
Step-by-step explanation:
20 x 200
/100 = 40
Therefore, there are 40 books missing.
200-40 = 160
160/20 = 8 shelves are filled with books.
There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves