Answer:
Step-by-step explanation:
f(x) = x^3 - 6x^2 + 11x - 6
By the Rational Roots theorem, the roots will be among ±1,2,3,6
So try the low-hanging fruit first. It is clear that f(1) = 0. So, factoring that out, you have
f(x) = (x-1)(x^2-5x+6)
Now factor the quadratic in the usual way.
Answer:
length TR = 6
Step-by-step explanation:
Length TL = 24
scale ratio = 3:4:5
T-------R--------V----------L
find: TR
24 / (3+4+5) = 2
length TR at 3 x 2 = 6
length RV at 4 x 2 = 8
length VL at 5 x 2 = 10
a total of 6 + 8 + 10 = 24
therefore,
length TR = 6
Answer:
135
Step-by-step explanation:
Okay so we know that all angles in tringle sums up to 180
Therefore ∠2 = 180 - ∠1 - ∠3 = 180 - 35 - 100 = 45deg
We also know that angles on a straight line add up to 180deg as well
Therefore ∠4 = 180 - ∠2 = 180 - 45 = 135deg
Answer:
178,334 pens
Step-by-step explanation:
The company makes $0.30 above the variable cost on each pen, so must sell $53,500/$0.30 ≈ 178,334 pens to cover the cost of operation.
_____
Sale of 178,333 pens will result in a total cost of $0.10, so doesn't quite make the company break even. Sale of 178,334 pens will result in profit of $0.20.
