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Tju [1.3M]
3 years ago
10

What are the coordinates of the vertex for f(x) =3x^2+6x+3

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
The x-coordinate of the vertex can be found by -b/2a where the equation is ax^2 + bx + c

3x^2 + 6x + 3

b is 6, and a is 3

-b/2a = -6/2(3) = -6/6 = -1

The x-coordinate of the vertex is -1. To find the y-coordinate plug the x-coordinate into the equation and solve for y.

f(-1) = 3(-1)^2 + 6(-1) + 3
= 3(1) - 6 + 3
= 3 - 6 + 3
= 0

The y-coordinate is 0

The vertex is (-1, 0)
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Step-by-step explanation:

the max. value is when the smaller set (A) is completely contained in the larger set (B).

then n(A n B) is n(A) = 50.

the set intersection between A and B cannot get bigger than that. or A gets bigger ...

after all, the intersection means it is a set of all elements that exist in BOTH sets.

but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.

the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.

in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.

3 0
1 year ago
What two numbers multiply to -42 but also add up to -11
spayn [35]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Solve for x. Your answer must be simplified. -3 < x/-4
Harman [31]

Answer:

x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

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Step 2: Flip the equation.

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Step 3: Multiply both sides by 4/(-1).

( 4/ −1 )*( −1/ 4 x)>( 4 /−1 )*(−3)

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x<12

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2 years ago
A sum of money is divided in the ratio of 3:5:9. Calculate the smallest share given that the largest share is 54
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Hope this helps!
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4 years ago
How do I solve this???
Nitella [24]
So the answer would be letter D

5 0
3 years ago
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