Answer:
5, 7, 11, 19, 35
Step-by-step explanation:
Using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7
a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11
a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19
a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35
Thus the first 5 terms are
5, 7, 11, 19, 35
X = 3 and x = -1 are the answers for both. They are exactly the same equation.
FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.
USE THE QUADRATIC FORMULA
Be sure to solve for zero and be aware of negatives when plugging in.
Change these equations into the equations of linear functions.
Draw function graphs and read coordinates of the intersection.
Answer:
<u>x = 90</u>
Step-by-step explanation:
We know based on the trigonometric identity that :
Here, it's given : tan (x - 45)° = 1
<u>Equating</u>
- tan 45 = tan (x - 45) [both are equal to 1]
- 45 = x - 45
- <u>x = 90</u>
