Step-by-step explanation:
Hope it will help :)
Answer:
Step-by-step explanation:
Zeros α = -3 and β = -4
Quadratic equation: x² - (α + β)x + αβ = 0
x² - (-3-4)x + (-3)*(-4) = 0
x² - (-7)x + 12 =0
x² + 7x + 12 = 0
Answer: C
Step-by-step explanation: Hope this help :D
A) 5 to be chosen among a Total : 10 Men + 8 Women
¹⁸C₅ = (18!)/(5!)(13!) = 8,568 groups of five
b) A must to have men and women. If so we have to deduct all groups of 5 that are all men and all group of 5 that are all women
Groups of 5 with only men: ¹⁰C₅ = 252
Groups of 5 with only women: ⁸C₅ = 56
So number of committees of 5 men and women mixed =
8568 - 252 - 56 = 8,260 committees
c) 3 Women and 2 Men:
⁸C₃ x ¹⁰C₂ = 2,520 groups of 3 W and 2 M
d) More women than men, it means:
3 W + 2 M OR (we have found it in c) = 2,520)
4 W + 1 M OR ⁸C₄ x ¹⁰C₁ →→→→ = 700
5 W + 0 M OR ⁸C₅ x ¹⁰C₀ →→→→ = 56
Total where W>M = 3,276 groups of 5 where women are at least 3
C is the answer
for example
assume that the height of a rectangular prism is 2, width is 1 and length measures 3
the volume will be 6
(2*1*3)
if we multiply height with the scale factor of 1/2
it becomes 1
so the volume will be 3
(1*1*3)
this situation goes for other examples, too
good luck
