Answer:
3, 5, 8, 13
Step-by-step explanation:
aₙ = aₙ₋₁ + aₙ₋₂
a₃ = a₂ + a₁ = 2 + 1 = 3
a₄ = a₃ + a₂ = 3 + 2 = 5
a₅ = a₄ + a₃ = 5 + 3 = 8
a₆ = a₅ + a₄ = 8 + 5 = 13
Pick a 3. P1/6
Pick another not 3 but 5 or 6 is P2/5
1/6 x 2/5 1/15 = 0.0667
I think the answer may be 54 adults and 12 children
Answer:
x=12
Step-by-step explanation:
To make these 2 lines perpendicular to each other, one of their angles must be equal to 90 degrees.
Therefore, we can set up an equation with one of the angles:
7x+6=90
7x=84
x=12
The information of the other angle is useless in this case, but we can use it to check by plugging in 12 for x, and seeing if it equals to 90:
8*12-6=96-6=90
Therefore, x=12.
Correct Answer: First Option
Explanation:
There are two ways to find the actual roots:
a) Either solve the given quadratic equation to find the actual roots
b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.
Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.