Adriana is 12. You divide her dad's age by 3 to get 1/3 her dad's age
Answer:
i. false
ii. true
iii. true
iv. false
When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.
Answer:
= 3n + 77
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then
= 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77
6.
4x^2 + 4 = 0
Divide both sides by 4
x^2 + 1 = 0
Use the quadratic formula since this cannot be factored.
x = (-b +- sqrt(b^2 - 4ac))/(2a)
x = +- sqrt(-4(1)(1))/2
x = +- sqrt(-4)/2
x = +- 2i/2
x = +- i
x = i or x = -i
Quicker solution:
If you have x^2 = number, then
x = +- sqrt(number)
Once you get to
x^2 + 1 = 0
Subtract 1 from both sides
x^2 = -1
Apply the quick method
x = +- sqrt(-1)
x = +- i
8.
2x^2 + 50 = 0
Divide both sides by 2
x^2 + 25 = 0
Subtract 25 from both sides
x^2 = -25
Apply quick method
x = +- sqrt(25)
x = +- 5i
x = 5i or x = -5i
Answer:
See below.
Step-by-step explanation:
p^2 - 6p - 16 p^2 - 9 ( p - 8)( p + 2) (p + 3)(p - 3)
------------------ + ---------- = ------------------- + -----------------
p^2 - 7p - 18 p + 3 (p - 9)( p + 2) (p + 3)
p - 8
= ------ + (p - 3) (answer)
p - 9
