w=37
2w+w+69= 180 knowing that all triangles add up to 180 form an equation
3w+69=180 combine like terms and subtract 69 from both sides
3w=111 divide by 3 from both sides
w=37
Answer:
9x^2-25
Step-by-step explanation:
You can solve this problem by using FOIL:
- FOIL (First, Outer, Inner, Last)
First: 3x*3x= 9x^2
Outer: 3x*-5= -15x
Inner: 3x*5 = 15x
Last: 5*-5= -25
Now add what we got together:
9x^2 -15x +15x -25
Answer: 9x^2 - 25
Note: Whenever when we see conjugates(coefficients of variables are same but real numbers are opposites) like these we can ignore the outer and inner of the foil process as they cancel out.
Hope this helps!
Step-by-step explanation:
(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ. Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.
(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ
Divide.
Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)
Rewrite the second fraction using negative exponent.
Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹
Take the limit of both sides as n approaches infinity.
lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹
Substitute with φ.
φ = 1 + φ⁻¹
Solve.
φ² = φ + 1
φ² − φ − 1 = 0
φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)
φ = (1 ± √5) / 2
Since the ratio can't be negative:
φ = (1 + √5) / 2
A)Total hours she worked =8+7.5+6.5+3+9= 34 hours
b)Amount she was paid= 34 hours x $20.25= 688.50
She was paid $688.50
I dont lnow the awnser of that but good luck on that!
