Answer: Option a.
Step-by-step explanation:
To solve the given exercise, you must keep on mind the law of logarithms shown below:

Therefore, by applying the law , you can rewrite the expression given, as following:

You know that:

Then, when you substitute values, you obtain:

Answer: 8/9 questions
Step-by-step explanation: 312/36= 8.6...
The answer depends on if you want to round up or down.
1.
x² +10x +24 = 0
x² +10x =-24
2.
x² +2*5*x +5² =-24+5²
3.
x²+2*5*x+25 = -24+25
4.
(x+5)² = 1
p=-5, q=1
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.