Answer:
y = 5x2 + 10x - 15
We want this in format y = a(x-h)2 + k
where the vertex will be at (h,k)
y = 5(x2+2x) - 15
Complete the square on x2+2x
y = 5(x2+2x+1) - 15 - 5
We subtract 5 at the end because we are actually adding 5(1) = 5
so we need to remove it also to keep the total equal
y = 5(x+1)2 - 20
The vertex is at (-1,-20)
Answer:
a. (3,11) (4,15) (5,19) (6,23)
b. it's not proportional because b (from y=mx+b) is not 0
c. the equation is y = 4x - 1
d. graph the y-int (-1) on the y-intercept and then connect the points in a.
Step-by-step explanation:
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
Step-by-step explanation:
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- Length ( l ) = 4 cm
- Width ( w ) = 2 cm
- Height ( h ) = 5 cm
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- Total surface area of a cuboid
❅
✑ 
Plug the known values :
⟼ 
⟼ 
⟼ 
Hope I helped !♡
Have a wonderful day / night ! ツ
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Since there are 3 sides and each of those 3 sides are 9 cm, you would multiply 9*3 and your answer would be 27 cm.
