The question is asking for you to divide 4,000/100. This equals 40. So, there are 40 hundreds in 4,000.
X² + 10x +2 = 0 .Complete the square of (x² + 10x + ??)
We know that (10x) is equal to twice the square root of the 1st (x) by ??
10x = 2.x.(??) and ?? = 5 and its square is 25. Then I have to add 25 and subtract 25 so that not to change the equation:
(x² + 10x + 25) -25 +2 =0
(x+5)² -23
Answer:
2/7
Step-by-step explanation:
Each time you play, you get 1 number. Since 8/28 numbers win, you have a 8/28 chance to win if you buy one ticket. 8/28 = 2/7
Answer:
-2 and -3
Step-by-step explanation:
Let L represent the large integer and S represent the smaller integer
Given Large Integer = 10 + 4 times Smaller Integer
Mathematically:
L = 10 + 4S -------eq 1
It is also given that the integers are consecutive,
hence L = S + 1------ eq2
Now we can solve a system of equations by substitution.
Substitute eq 2 into eq 1
S + 1 = 10 + 4S (subtract 1 from both sides)
S = 10 - 1 + 4S
S = 9 + 4S (subtract 4S from both sides)
S - 4S = 9
-3S = 9 (divide both sides by -3)
S = 9 / (-3) = -3 (answer)
form equation 2,
L = S + 1
L = -3 + 1
L = -2 (answer)
