Answer:
x= -2-√11. or. x= -2 + √11
Step-by-step explanation:
solving quadratic equation by completing the square
x^2+4x-7=0
x^2+4x=7
x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides
x^2+4x + 4=7 + 4
x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2
(x + 2)^2=11
√(x + 2)^2= + - √11
x + 2 = + - √11
there are two different solution .
x + 2 = -√11. or x + 2 = + √11.
x= -2-√11. or. x= -2 + √11.
4x-10=2x subtract 2x from both sides
2x-10=0 add 10 to both sides
2x=10 divide both sides by 2
x=5
Answer:
The probability that conservative party wins all 3 seats is 0.216
The probability that conservative party wins exactly two seats is 0.432
Step-by-step explanation:
Consider the provided information.
The probability of a conservative candidate winning is p=0.6.
The probability of one progressive candidate will win is: 1-0.6=0.4
Part (a) What is the probability that the conservative party wins all three seats?
According to binomial distribution: 



P(conservative party wins all 3 seats) = 0.216
Hence, the probability that conservative party wins all 3 seats is 0.216
Part (a) What is the probability that the conservative party wins exactly two seats?



Hence, the probability that conservative party wins exactly two seats is 0.432
Ok
Perimeter=38cm
Area=88cm
2 numbers that multiply to 88
4 numbers that add up to 38
Length=11
Width= 8
Answer:
x=1 or x=16
Step-by-step explanation:
3/4x = 12 or 0.75x = 12
3/4x/3/4 = 12/3/4 or 0.75x/0.75 = 12/0.75
x=12/1 / 3/4
x= 4/4
x = 1 or x = 16